Faculty Profiles - HIROSHIMA FUMIO

Information

写真a

HIROSHIMA FUMIO

Organization

Faculty of Mathematics Division of Analysis Professor
School of Sciences Department of Mathematics（Concurrent）
Graduate School of Mathematics Department of Mathematics（Concurrent）
Joint Graduate School of Mathematics for Innovation （Concurrent）

Profile

We study spectral analysis of operators on infinite dimensional spaces. In particular, We analyze the spectral analysis of quantum field theory on pseudo-Riemannian manifolds from a mathematical standpoint, using operator theory, the theory of semigroups, stochastic analysis, and functional and path integrals. The Hamiltonian appearing in quantum field theory can be regarded mathematically as a self-adjoint operator on a Hilbert space. The spectrum of the self-adjoint operator is analyzed in a non-perturbative and abstract way. Specifically, our goals are to evaluate the existence or absence of the ground state of the Hamiltonian, to analyze IR and UV divergences, spectral scattering theory, resonance, renormalization theory, Gibbs measure, and so on. Recently, We have also studied the representation theory of CCR and lattice Schrödinger operators. The keywords are Feynman-Kac formula, quantum field theory, Gibbs measure, renormalization, spectral analysis, Schrödinger operator, boson-Fock space, infinite-dimensional Ornstein-Uhlenbeck process, exponential decay property, Gaussian decay property, UV divergence, IR divergence, existence and absence of ground states, semigroups, noncommutative Perron-Frobenius theorem, Kato potential, Bernstein function, Pauli-Fierz model, Nelson model, spin-boson model, noncommutative harmonic oscillator (NCHO), Rabi model, spectral zeta function, time operator, CCR, Laplacian on a lattice, semi-classical analysis.

Homepage

http://www3.math.kyushu-u.ac.jp/~hiroshima/index.html

External link

Research Areas

Natural Science / Basic mathematics

Degree

Doctor of science （ 1996.3 Hokkaido University ）

Research History

Kyushu University Faculty of Mathematics Professor Dean of Faculty of Mathematics

2024.4 - Present

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Country：Japan
Kyushu University Faculty of Mathematics Professor

2012.10 - Present
Kyushu University Faculty of Mathematics Associate Professor

2007.4 - 2012.9
Kyushu University Faculty of Mathematics Associate Professor (as old post name)

2005.4 - 2007.3
Setsunan University Department of engineering Associate Professor (as old post name)

2000.4 - 2005.3

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Country：Japan
Muenchen technical university Academic Researcher

1998.2 - 2000.2
Bonn university Institute of applied mathematics Academic Researcher

1998.2 - 1999.1

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Country：Germany
Rule university Academic Researcher

1997.9 - 1998.1

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Country：Germany

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Education

Hokkaido University Faculty of Science Department of Mathematics

1984.4 - 1990.3

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Country：Japan

Research Interests・Research Keywords

Research theme： Feynman-Kac formula

Keyword： Schroedinger operator, PF model, Nelson model, spin-boson model

Research period： 2006.4 - Present
Research theme： Gibbs measure and localizations

Keyword： Gibbs measure, ground states, UV renormalization, exponential decay

Research period： 2000.4 - Present
Research theme： Spectral analysis of QFT

Keyword： quantum field theory, Fock space, embedded eigenvalues, ground states, scattering theory, pseudo Riemann manifold, functional integrations, Gibbs measures

Research period： 1993.4 - Present
Research theme： semiclassical analysis

Keyword： Wigner measure, Pauli-Fierz model

Research period： 2019.5 - 2022.12
Research theme： Spectral zeta functions

Keyword： quantum Rabi model, non-commutative harmonic oscillator

Research period： 2013.4
Research theme： Schroedinger operators on a lattice

Keyword： lattice, spectrum

Research period： 2012.4 - Present
Research theme： Time operators

Keyword： time operator, CCR

Research period： 2009.4 - Present

Awards

MSJ 2019 Analysis Prize

2019.9 The Mathematical Society of Japan Applications of Functional Integrals in Mathematical Quantum Field Theory

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Award type：Award from Japanese society, conference, symposium, etc. Country：Japan

Since the 1990s, Professor Fumio Hiroshima has consistently conducted research in mathematical quantum field theory based on the analysis of self-adjoint operators on Hilbert spaces, and has produced numerous significant contributions. In recent years, he has developed methods for analyzing quantum fields by employing the Wiener–Itô–Segal isomorphism in combination with functional integrals and stochastic analysis, thereby providing non-perturbative solutions　to many problems that had been difficult to treat by conventional perturbative approaches.

Among his remarkable achievements over the past five years are the following:
the renormalization of ultraviolet divergences in the Nelson model using functional integrals, in collaboration with Massimiliano Gubinelli and József Lőrinczi;
the proof of self-adjointness and exponential decay of ground states for the semi-relativistic Pauli–Fierz model;
and the construction of Gibbs measures for the spin-boson model and their use in establishing the existence, uniqueness, and locality of ground states, in collaboration with Masao Hirokawa and József Lőrinczi.
Each of these results has been highly regarded in the field. In particular, the first achievement resolved a problem that had remained open since the 1960s in a paper by Edward Nelson.

Professor Hiroshima’s approach is characterized by its foundation in functional integral representations of semigroups, through which he performs analysis using probabilistic representations of Gibbs measures associated with each model. Unlike traditional perturbative methods that rely on the assumption of small coupling constants, his methods allow for analysis over significantly broader parameter ranges. In the renormalization of the Nelson model, his method has the advantage that the logarithmic divergence term to be subtracted from the Hamiltonian arises naturally from the diagonal part of the pair interaction.

Of particular importance is his construction of Gibbs measures on the càdlàg path space, which consists of discontinuous paths. This breakthrough opened a new line of research for analyzing ground states of various models.

Moreover, Professor Hiroshima’s techniques have found applications beyond quantum field theory—for instance, in the study of the multiplicity of the lowest eigenvalue of the non-commutative harmonic oscillator, recently investigated by Masato Wakayama and others, in collaboration with Itaru Sasaki.

These techniques are presented in a self-contained manner in a comprehensive monograph of over 500 pages co-authored with József Lőrinczi and Volker Betz, and are expected to contribute significantly to future developments in this area.

Taken together, these outstanding contributions make Professor Hiroshima a highly deserving recipient of the Analysis Prize.

Papers

Spectral zeta function and ground state of quantum Rabi model

Hiroshima, F; Shirai, T

JOURNAL OF FUNCTIONAL ANALYSIS 289 ( 3 ) 2025.8 （ ISSN:0022-1236 eISSN:1096-0783 ）

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Publisher：Journal of Functional Analysis

The spectral zeta function ζg(s;g2+τ)=∑n=0∞[Formula presented] of the quantum Rabi Hamiltonian is considered, where τ>0 and En(g) denotes nth eigenvalue of the quantum Rabi Hamiltonian H. Let ζ(s;τ)=∑n=0∞[Formula presented] be the Hurwitz zeta function. It is shown that lim|g|→∞⁡ζg(s;g2+τ)=2ζ(s;τ). Moreover the path measure Π∞ associated with the ground state of H is constructed on a discontinuous path space, and several applications are shown.

DOI： 10.1016/j.jfa.2025.110901

Web of Science

Scopus
Fiber decomposition of non-commutative harmonic oscillators by two-photon quantum Rabi models Reviewed

Hiroshima, F; Shirai, T

JOURNAL OF MATHEMATICAL PHYSICS 66 032101 - 032131 2025.4

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Authorship：Lead author Language：English Publishing type：Research paper (scientific journal)

DOI： https://doi.org/10.1063/5.0233587
On the spectrum of discrete Schrodinger operator of a rank-two perturbation on Z Reviewed International coauthorship

Sh. U. Alladustov, F.Hiroshima and M. I. Muminov

Lobachevskii J. Math. 45 4639 - 4643 2024.12

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Language：English Publishing type：Research paper (scientific journal)
Representations of Pauli-Fierz type models by path measures Invited Reviewed International journal

Fumio Hiroshima

Proceedings of the workshop "Mathematical Physics and its Interactions" 2024.5

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Language：English Publishing type：Research paper (international conference proceedings)
Time operators of harmonic oscillator and its representations Reviewed International journal

F.Hiroshima and N.Teranishi

J. Math. Phys.. 65 ( 4 ) 2024.1 （ ISSN:0022-2488 eISSN:1089-7658 ）

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Language：English Publishing type：Research paper (scientific journal) Publisher：Journal of Mathematical Physics

１次元調和振動子に対する時間作用素の解析を行なった。ポイントは１次元調和振動子が離散スペクトルしか持たないことである。

DOI： 10.1063/5.0201982

Web of Science

Scopus
From the quantum to the classical electrodynamics of charges and fields Reviewed International journal

Z.Ammari, M.Falconi and F.Hiroshima

Annales de l'institut Fourier 2023.12

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Language：English Publishing type：Research paper (scientific journal)

The purpose of this article is twofold:
1) On one hand, we rigorously derive the Newton--Maxwell equation in the Coulomb gauge from first principles of quantum electrodynamics in agreement with the formal Bohr correspondence principle of quantum mechanics.
2) On the other hand, we establish the global well-posedness of the Newton--Maxwell system on energy-spaces under weak assumptions on the charge distribution.

Both results improve the state of the art, and are obtained by incorporating semiclassical and measure theoretical techniques. One of the novelties is the use of quantum propagation properties in order to build global solutions of the Newton--Maxwell equation.
Threshold of discrete Schroedinger operators with delta potentials on n-dimensional lattice Reviewed International journal

F. Hiroshima, Z. Muminov and U. Kuljanov

Linear and Multilinear Algebra 2022.5

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Language：English Publishing type：Research paper (scientific journal)

Repository Public URL： https://hdl.handle.net/2324/7177941
Ground states and their associated Gibbs measures in the renormalized nelson model Reviewed International journal

F.Hiroshima and O.Matte

Rev. Math.Phys. ３４ ( 2 ) 2022.4

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Language：English Publishing type：Research paper (scientific journal)

DOI： https://doi.org/10.1142/S0129055X22500027

Repository Public URL： https://hdl.handle.net/2324/7173523
Ground states and associated path measures in the renormalized Nelson model

Hiroshima, F; Matte, O

REVIEWS IN MATHEMATICAL PHYSICS 34 ( 02 ) 2022.3 （ ISSN:0129-055X eISSN:1793-6659 ）

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Publisher：Reviews in Mathematical Physics

We prove the existence, uniqueness, and strict positivity of ground states of the possibly massless renormalized Nelson operator under an infrared regularity condition and for Kato decomposable electrostatic potentials fulfilling a binding condition. If the infrared regularity condition is violated, then we show non-existence of ground states of the massless renormalized Nelson operator with an arbitrary Kato decomposable potential. Furthermore, we prove the existence, uniqueness, and strict positivity of ground states of the massless renormalized Nelson operator in a non-Fock representation where the infrared condition is unnecessary. Exponential and superexponential estimates on the pointwise spatial decay and the decay with respect to the boson number for elements of spectral subspaces below localization thresholds are provided. Moreover, some continuity properties of ground state eigenvectors are discussed. Byproducts of our analysis are a hypercontractivity bound for the semigroup and a new remark on Nelson's operator theoretic renormalization procedure. Finally, we construct path measures associated with ground states of the renormalized Nelson operator. Their analysis entails improved boson number decay estimates for ground state eigenvectors, as well as upper and lower bounds on the Gaussian localization with respect to the field variables in the ground state. As our results on uniqueness, positivity, and path measures exploit the ergodicity of the semigroup, we restrict our attention to one matter particle. All results are non-perturbative.

DOI： 10.1142/S0129055X22500027

Web of Science

Scopus
Spectrum of semi-relativistic Pauli-Fierz Hamiltonian II Reviewed International journal

F.Hiroshima, T.Hidaka and I.Sasaki

J. Spectral Theory １１ 1179 - 1830 2021.10

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Language：English Publishing type：Research paper (scientific journal)

DOI： DOI 10.4171/JST/386

Repository Public URL： https://hdl.handle.net/2324/7177964
Ultra-weak time operators of Schroedinger operators Reviewed International journal

F.Hiroshima, A.Arai

Ann. Henri Poincare 18 2995 - 3033 2017.10

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Repository Public URL： https://hdl.handle.net/2324/7177967
Kato's inequality for magnetic relativistic Schroedinger operators Reviewed International journal

F.Hiroshima, T.Ichinose, J.Lorinczi

Publ RIMS Kyoto. 53 79 - 117 2016.10

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Repository Public URL： https://hdl.handle.net/2324/7177968
Enhanced binding of an N-particle system interacting with a scalar field II. Relativistic version Reviewed International journal

Fumio Hiroshima, Itaru Sasaki

Publ RIMS Kyoto 51 655 - 690 2015.2

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Spin-boson model through a Poisson-driven stochastic process Reviewed International journal

Fumio Hiroshima, Masao Hirokawa, Lozsef Lorinczi

Math Z 277 1165 - 1198 2014.4

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Repository Public URL： https://hdl.handle.net/2324/7177965
Ultraviolet renormalization of the Nelson Hamiltonian through functional integration Reviewed International journal

F.Hiroshima, M.Gubinelli, J.Lorinczi

J.Funct.Anal. 267 3125 - 3153 2014.4

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Functional integral approach of semi-relativistic Pauli-Fierz models Reviewed International journal

Fumio Hiroshima

Advances in Mathematics 269 784 - 840 2014.4

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Language：English Publishing type：Research paper (scientific journal)

Repository Public URL： https://hdl.handle.net/2324/7177971
Absence of ground state of the Nelson model with a variable mass Reviewed International journal

C. Gerard, F. Hiroshima, A. Panatti and A. Suzuki

J. Funct. Anal. 262 ( 1 ) 2012.1

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Language：English Publishing type：Research paper (scientific journal)
Infrared problem for the Nelson model with variable coefficients Reviewed International journal

C. Gerard, F. Hiroshima, A. Panatti and A. Suzuki

Communications in Mathematical Physics 308 ( 2 ) 2011.3

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Physical State for nonrelativistic quantum electrodynamics Reviewed International journal

F. Hiroshima and A. Suzuki

Ann. Henri Poincare 10 2009.5

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Path integral representation for generalized Schrodinger operators with Bernstein function of the Laplacian Reviewed International journal

F. Hiroshima, T. Ichinose and J. Lorinczi

Rev Math Phys 24 2009.3

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Enhanced binding of an $N$ particle system interacting with a scalar field I Reviewed International journal

Fumio Hiroshima and Itaru Sasaki

Math. Z. 2008.4

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Enhanced binding of an $N$ particle system interacting with a scalar field I
Functional integral representations of nonrelativistic quantum electrodynamics with spin 1/2 Reviewed International journal

Fumio Hiroshima and Jozsef Lorinczi

J. Funct. Anal. 2008.3

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Functional integral representations of nonrelativistic quantum electrodynamics with spin 1/2
Fiber Hamiltonians in nonrelativistic quantum electrodynamics Reviewed International journal

Fumio Hiroshima

J. Funct. Anal. 2007.10

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Fiber Hamiltonians in nonrelativistic quantum electrodynamics
Ground state for point particle interacting through a massless scalar Bose field Reviewed International journal

Masao Hirokawa, Fumio Hiroshima and Herbert Spohn

Adv. in Math. 2005.1

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Ground state for point particle interacting through a massless scalar Bose
field
Multiplicity of ground states in quantum field models:applications of aymptotic fields Reviewed International journal

Fumio Hiroshima

J. Funct. Anal. 224 ( 2 ) 431 - 470 2005.1

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Multiplicity of ground states in quantum field models:applications of aymptotic fields

DOI： 10.1016/j.jfa.2005.03.004
Enhanced binding through coupling to a quantum field Reviewed International journal

Fumio Hiroshima and Herbert Spohn

Ann. Henri Poincare 2001.1

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Enhanced binding through coupling to a quantum field
Ground states and spectrum of quantum electrodynamics of non-relativistic particles Reviewed International journal

Fumio Hiroshima

Trans. Amer. Math. Soc. 2001.1

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Ground states and spectrum of quantum electrodynamics of non-relativistic particles,
Essential self-adjointness of translation-invariant quantum field models for arbitrary coupling constants Reviewed International journal

Fumio Hiroshima

Commun. Math. Phys. 2000.1

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Essential self-adjointness of translation-invariant quantum field models for
arbitrary coupling constants
On the absence of eigenvectors of Hamiltonians in a class of massless quantum field models without infrared cutoff Reviewed International journal

Asao Arai, Masao Hirokawa and Fumio Hiroshima

J. Funct. Anal. 1999.1

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On the absence of eigenvectors of Hamiltonians in a class of massless quantum field models without infrared cutoff
Fiber decomposition of non-commutative harmonic oscillators by two-photon quantum Rabi models

Hiroshima, F; Shirai, T

JOURNAL OF MATHEMATICAL PHYSICS 66 ( 3 ) 2025.3 （ ISSN:0022-2488 eISSN:1089-7658 ）

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Publisher：Journal of Mathematical Physics

The non-commutative harmonic oscillators Q α β NH with parameters α, β > 0, αβ > 1 and two-photon quantum Rabi models H △ , g 2 p with △ ≥ 0, | g | < 1 2 are both extensions of the one-dimensional harmonic oscillator. In the special case where α = β and △ = 0, it is immediately seen that Q α α NH is unitarily equivalent to α 2 − 1 1 − 4 g 2 H 0 , g 2 p . The purpose of this paper is to establish relationships between Q α β NH and H △ , g 2 p for the general cases △ > 0 and α ≠ β, and to show the fiber decomposition of Q α β NH in terms of H △ , g 2 p . We also construct Feynman-Kac formulas for e − t H △ , g 2 p and e − t Q α β NH . It is then considered the asymptotic behaviors of the spectral zeta function ζ2p(s) of H △ , g 2 p .

DOI： 10.1063/5.0233587

Web of Science

Scopus
On the Spectrum of the Discrete Schrodinger Operator of a Rank-Two Perturbation on Z

Alladustov, SU; Hiroshima, F; Muminov, ZI

LOBACHEVSKII JOURNAL OF MATHEMATICS 45 ( 10 ) 4874 - 4887 2024.10 （ ISSN:1995-0802 eISSN:1818-9962 ）

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Publisher：Lobachevskii Journal of Mathematics

Abstract: We consider a family of Schrödinger operators on the one-dimensional lattice, where is a standard discrete Laplacian, is a Kronecker delta function, and and are parameters. Eigenvalue behavior of the operators and their dependence on the parameters are explicitly derived. Moreover, we obtain asymptotics for the eigenvalues as the distance between two elements of the potential function support approaches infinity.

DOI： 10.1134/S1995080224606052

Web of Science

Scopus
Threshold of discrete Schrodinger operators with delta potentials on n-dimensional lattice

Hiroshima, F; Muminov, Z; Kuljanov, U

LINEAR & MULTILINEAR ALGEBRA 70 ( 5 ) 919 - 954 2022.3 （ ISSN:0308-1087 eISSN:1563-5139 ）

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Publisher：Linear and Multilinear Algebra

Eigenvalue behaviours of Schrödinger operator defined on n-dimensional lattice with n + 1 delta potentials are studied. It can be shown that lower threshold eigenvalue and lower threshold resonance appear for (Formula presented.), and lower super-threshold resonance appears for n = 1.

DOI： 10.1080/03081087.2020.1750547

Web of Science

Scopus
Time operators associated with harmonic oscillators

Hiroshima Fumio

IMIレクチャーノート 92 53 - 65 2022

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CiNii Research
Functional central limit theorem and P(phi)_1-process in quantum field theory Reviewed International journal

S. Gheryani, F.Hiroshima, J.Lorinczi, A.Majid and H.Ouerdiane

Mathematical Physics, Analysis and Geometry 23 2020.5

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Point-wise exponential decay of bound states of the Nelson model with Kato-class potentials Invited Reviewed International journal

Fumio Hiroshima

ANALYSIS AND OPERATOR THEORY - In Honor of Tosio Kato's 100 th Birthday - 225 - 250 2019.5

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Spectrum of the semi-relativistic Pauli-Fierz model I Reviewed International journal

Fumio Hiroshima, Takeru Hidaka

J.Math.Anal.Appl. 437 330 - 349 2016.4

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Relativistic PF model is studied in the non-perturbative way.

Repository Public URL： https://hdl.handle.net/2324/7177969
Self-adjointness of semi-relativistic Pauli-Fierz Hamiltonian Reviewed International journal

Fumio Hiroshima, Takeru Hidaka

Rev.Math.Phys. 27 2015.4

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Repository Public URL： https://hdl.handle.net/2324/7177970
Note on ultraviolet renormalization and ground state energy of the Nelson mode Invited Reviewed International journal

F.Hiroshima

preprint 2015.4

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Translation invariant models in QFT without ultraviolet cutoffs Invited Reviewed International journal

F.Hiroshima

preprint 2015.4

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Absence of energy level crossing for the ground state energy of the Rabi model Reviewed International journal

Fumio Hiroshima, Masao Hirokawa

Communications in Stochastic Analysis 9 551 - 560 2014.7

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The Spectrum of non-local discrete Schroedinger operators with a delta-potential Reviewed International journal

Fumio Hiroshima, Jozsef Lorinczi

Pacific J. Math-for-Industry 6 2014.4

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Pacific J. Math-for-Industry 6 (2014), 6pages [pdf]
Spectral analysis of non-commutative harmonic oscillators:the lowest eigenvalue and no crossing Reviewed International journal

Fumio Hiroshima, Itaru Sasaki

J. Math. Anal and Apple. 45 595 - 609 2014.4

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Multiplicity of the lowest eigenvalues of non-commutative harmonic oscillators Reviewed International journal

Fumio Hiroshima and Itaru Sasaki

Kyushu J. Math 67 355 - 366 2013.1

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Probabilistic representation and fall-off of bound states of relativistic Schrodinger operators with spin 1/2 Reviewed International journal

F. Hiroshima, T. Ichinose and J. Lorinczi

Publ RIMS Kyoto 49 189 - 214 2013.1

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Note on the spectrum of discrete Schroedinger operators Reviewed International journal

Fumio Hiroshima, Itaru Sasaki, Tomoyuki Shirai and Akito Suzuki

Journal of Math for Industry 4 2012.10

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Lieb-Thirring bound for Schroedinger operators with Bernstein function of the Laplacian Reviewed International journal

Fumio Hiroshima and Jozsef Lorinczi

Commun. on Stochastic Anal. 6 589 - 602 2012.10

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Enhanced binding in quantum field theory

Fumio Hiroshima, Itaru Sasaki, Herbert Spohn and Akito Suzuki

COE Lecture Note (Kyushu University) 38 2012.3

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Language：English
Removal of the UV cutoff for the Nelson model with variable coefficients Reviewed International journal

C. Gerard, F. Hiroshima, A. Panatti and A. Suzuki

Lett Math Phys 101 2012.3

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Feynman-Kac-Type Theorems and Gibbs Measures on Path Space. With Applications into Rigorous Quantum Field Theory

V.Betz, F.Hiroshima　and J. Lorinczi

de Gruyter Studies in Mathematics 2011.7

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Feynman-Kac-Type Theorems and Gibbs Measures on Path Space. With Applications into Rigorous Quantum Field Theory
The no-enhanced regime of the Pauli-Fierz model Reviewed International journal

Fumio Hiroshima, Herbert Spohn and Akito Suzuki

J. Math. Phys. 52 2011.2

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Existence and absence of ground states for a particle interacting through the quantized scalar field on a static spacetime Reviewed International journal

C. Gerard, F. Hiroshima, A. Panatti and A. Suzuki

RIMS Kokyuroku Bessatsu 21 2010.12

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On the ionaization energy of semi-relativistic Pauli-Fierz model for a single particle Reviewed International journal

Fumio Hiroshima and Itaru Sasaki

RIMS Kokyuroku Bessatsu 21 2010.12

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Pauli-Fierz model with Kato-class potentials and exponetial decays Reviewed International journal

Takeru Hidaka and Fumio Hiroshima

Rev. Math. Phys. 22 2010.4

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Self-adjoint extensions of momentum operators:application of weak Weyl relations Reviewed International journal

Fumio Hiroshima, Sotaro Kuribayashi and Itaru Sasaki

J. Math-for-Industry 2010.4

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Infrared divergence of a scalar quantum field model on a pseudo Riemannian manifold. Invited Reviewed International journal

C. Gerard, F. Hiroshima, A. Panatti and A. Suzuki

Interdisplinary Information Science 15 2009.3

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Gibbs measures with double stochastic integrals on path space Reviewed International journal

Fumio Hiroshima and Volker Betz

Infinite Dimensional Analysis and Quantum Probability. 12 2009.3

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Gibbs measures with double stochastic integrals on path space
Strong time operators associated with generalized Hamiltonians Reviewed International journal

Fumio Hiroshima, Yasumichi Matsuzawa, Sotaro Kuribayashi

Lett Math Phys 2009.1

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Perturbation of embedded eigenvalues in quantum field theory International journal

Fumio Hiroshima

Sugaku Exp. 2008.12

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Perturbation of embedded eigenvalues in quantum field theory
Regularites of ground states of quantum field models Invited Reviewed International journal

Asao Arai, Masao Hirokawa and Fumio Hiroshima

Kyushu J. Math. 2007.10

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Regularites of ground states of quantum field models
Mass renormalization in non-relativistic QED with spin 1/2 Reviewed International journal

Fumio Hiroshima and KR Ito

Rev. Math. Phys. 2007.5

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Mass renormalization in nonrelativistic QED Reviewed International journal

Fumio Hiroshima and Herbert Spohn

J. Math. Phys. 2005.1

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Mass renormalization in nonrelativistic QED
Local exponent and infinitesimal generators of proper canonical　 transformations on a Boson Fock space Reviewed International journal

Fumio Hiroshima and K.R. Ito

Infinite Dimensional Analysis, Quantum Probaility and Related Topics 2004.10

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Local exponent and infinitesimal generators of proper canonical
transformations on a Boson Fock space
Analysis of ground states of atoms interacting with a quantized radiation field International journal

Fumio Hiroshima

Topics in the theory of Schrodinger operators 2004.1

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Analysis of ground states of atoms interacting with a quantized radiation field
Localization of the number of photons of nonrelativistic QED Reviewed International journal

Fumio Hiroshima

Rev. Math. Phys. 2003.1

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Localization of the number of photons of nonrelativistic QED
Nonrelativistic QED at large momentum of photons International journal

Fumio Hiroshima

Garden of Quanta 2003.1

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Nonrelativistic QED at large momentum of photons
Embedded eigenvalues, localization and asymptotics of quantum field models: a functional integral approach Reviewed International journal

Fumio Hiroshima

J. Phys. A: Math. Gen. 2002.4

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Embedded eigenvalues, localization and asymptotics of quantum field models: a functional integral approach,
Observable effect and parametrized scaling limits of a model in nonrelativistic quantum electrodynamics Reviewed International journal

Fumio Hiroshima

J. Math. Phys. 2002.1

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Observable effect and parametrized scaling limits of a model in nonrelativistic quantum electrodynamics
Ground state properties of the Nelson Hamiltonian-A Gibbs measure-based approach Reviewed International journal

Volker Betz, Fumio Hiroshima, Jozsef Lorinczi Herbert Spohn and Robert Minlos

Rev. Math. Phys. 2002.1

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Language：English Publishing type：Research paper (scientific journal)

Ground state properties of the Nelson Hamiltonian-A Gibbs measure-based approach
Self-adjointness of the Pauli-Fierz Hamiltonian for arbitrary values of coupling constants Reviewed International journal

Fumio Hiroshima

Ann. Henri Poincare 2002.1

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Language：English Publishing type：Research paper (scientific journal)

Self-adjointness of the Pauli-Fierz Hamiltonian for arbitrary values of coupling constants,
Ground state degeneracy of the Pauli-Fierz Hamiltonian with spin Reviewed International journal

Fumio Hiroshima and Herbert Spohn

Adcvances in Theoretical and hematical Physics 2001.1

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Language：English Publishing type：Research paper (scientific journal)

Ground state degeneracy of the Pauli-Fierz Hamiltonian with spin
Euclidean Gell-Mann-Low formula and double stochastic integrals Reviewed International journal

Fumio Hiroshima

Canadaian Math. Soc., Stochastic Processes, Physics and Geometry: New Interplays 2000.10

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Language：English Publishing type：Research paper (international conference proceedings)

Euclidean Gell-Mann-Low formula and double stochastic integrals
Ground states of a model in nonrelativistic quantum electrodynamics II Reviewed International journal

Fumio Hiroshima

J. Math. Phys. 2000.1

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Language：English Publishing type：Research paper (scientific journal)
Weak coupling limit removing an ultraviolet cut-off for a Hamiltonian of particles interacting with a quantized scalar field Reviewed International journal

Fumio Hiroshima

J. Math. Phys. 1999.1

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Language：English Publishing type：Research paper (scientific journal)

Weak coupling limit removing an ultraviolet cut-off for a Hamiltonian of particles interacting with a quantized scalar field
Ground states of a model in nonrelativistic quantum electrodynamics I Reviewed International journal

Fumio Hiroshima

J. Math. Phys 1999.1

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Language：English Publishing type：Research paper (scientific journal)
Weak coupling limit and a removal of an ultraviolet cutoff and a Hamiltonian of particles interacting with a massive scalar field Reviewed International journal

Fumio Hiroshima

Inf. Dim. Anal. and Quntum Prob. Relat. Top. 1 1998.9

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Language：English Publishing type：Research paper (scientific journal)
Functional integral representation of a model in quantum electrodynamics Invited Reviewed International journal

Fumio Hiroshima

Rev. Math. Phys. 9 1997.9

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Language：English Publishing type：Research paper (scientific journal)
Scaling limit of a model of quantum electrodynamics with many nonrelativistic particles Reviewed International journal

Fumio Hiroshima

Rev. Math. Phys. 9 1997.9

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Language：English Publishing type：Research paper (scientific journal)
Asymptotic behaviors of an interaction Hamiltonian Reviewed International journal

Fumio Hiroshima

Nonlinear Analysis 30 1997.9

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Language：English Publishing type：Research paper (scientific journal)
Diamagnetic inequalities for systems of nonrelativistic particles with a quantized field Reviewed International journal

Fumio Hiroshima

Rev. Math. Phys. 8 1996.9

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Language：English Publishing type：Research paper (scientific journal)
Scaling limit of a model in quantum electrodynamics Reviewed International journal

Fumio Hiroshima

J. Math. Phys. 34 1993.9

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Language：English Publishing type：Research paper (scientific journal)

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Books

Feynman-Kac-Type Theorems and Gibbs Measures on Path Space, Applications in Rigorous Quantum Field Theory

F.Hiroshima and J. Lorinczi（Role：Joint author）

Walter de Gruyter 2020.3

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Responsible for pages：536pages Language：English Book type：Scholarly book
Feynman-Kac-Type Theorems and Gibbs Measures on Path Space, Feynman-Kac-Type Formulae and Gibbs Measures

J. Lorinczi, F.Hiroshima and V. Betz（Role：Joint author）

Walter de Gruyter 2020.3

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Responsible for pages：567pages Language：English Book type：Scholarly book
Ground States of Quantum Field Models Reviewed

Fumio Hiroshima（Role：Sole author）

Springer 2019.10

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Responsible for pages：140pages Language：English Book type：Scholarly book
Feynman-Kac type theorems and Gibbs measures on path space. With applications into rigorous quantum field theory

J. Lorinczi,F.Hiroshima and V. Betz（Role：Joint author）

Walter de Gruyter 2011.9

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Responsible for pages：Studies in Mathematics 34 Language：English Book type：Scholarly book
Functional Analysis

Fumio Hiroshima（Role：Sole author）

Saiensusha 2024 （ ISBN:9784781915890 ）

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Total pages：264 Language：Japanese Book type：Textbook, survey, introduction

CiNii Books
MI Lecture Note vol. 92

Fumio Hiroshima（Role：Edit）

Institute of Mathematics for Industry, Kyushu University 2022

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Total pages：149 Language：English Book type：Report

CiNii Research
von Neumann 3 Reviewed

Fumio Hiroshima（Role：Sole author）

Gendai Sugakusha 2021.8

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Language：Japanese Book type：General book, introductory book for general audience
von Neumann 2

Fumio Hiroshima（Role：Sole author）

Gendai Sugakusha 2021.6

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Language：Japanese Book type：General book, introductory book for general audience
Mathematical Sciences: A View of Modern Mathematics

Fumio Hiroshima（Role：Joint authorMathematical Physics）

Saiensusha 2021.6
von Neumann 1

Fumio Hiroshima（Role：Sole author）

Gendai Sugakusha 2021.4

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Responsible for pages：第１巻 Language：Japanese Book type：General book, introductory book for general audience
Mathematical Sciences: Infinity and Mathematics

Fumio Hiroshima（Role：Edit）

Saiensusha 2017.2

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Responsible for pages：出版予定 Language：Japanese Book type：General book, introductory book for general audience
Mathematical Theory of Quantum Fields

Asao Arai, Yasuyuki Kawahigashi, Takashi Hara, Fumio Hiroshima（Role：Joint author）

Sugaku Shobou 2016.7 （ ISBN:9784903342481 ）

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Total pages：305 Language：Japanese Book type：Textbook, survey, introduction
Mathematical Sciences: Mathematical Ideas in Physics

Fumio Hiroshima（Role：Joint authorThe Mathematics of Quantum Mechanics）

Saiensusha 2016.4

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Language：Japanese Book type：General book, introductory book for general audience
Mathematical Sciences: Analysis and Physics

Fumio Hiroshima（Role：Joint authorQuantum Mechanics and Functional Analysis）

サイエンス社　2012年5月号 2012.5

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Language：Japanese Book type：General book, introductory book for general audience
COE Lecture Note 38 International journal

Fumio Hiroshima, Itaru Sasaki, Akito Suzuki, Herbert Spohn（Role：Joint author）

Institute of Mathematics for Industry, Kyushu University 2012.2

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Total pages：206 Language：English Book type：Scholarly book
Mathematical Sciences: Probabilistic Perspectives on Physics

Fumio Hiroshima（Role：Joint authorStochastic Quantum Field Theory — Spohn）

Saiensusha 2008.12

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Language：Japanese Book type：General book, introductory book for general audience
Mathematical Sciences: A Dialogue between Mathematics and Physics

Fumio Hiroshima（Role：Joint authorQuantum Theory）

Saiensusha 2006.5

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Responsible for pages：24-29 Language：Japanese Book type：General book, introductory book for general audience
Topics in the theory of Schroedinger operators Reviewed

Fumio Hiroshima（Role：Joint authorAnalysis of ground states of atoms interacting with a quantized radiation field）

World Scientific 2004.4

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Total pages：275 Language：English Book type：Scholarly book
History of Modern Physics II

Fumio Hiroshima（Role：Joint authorNonrelativistic Quantum Electrodynamics）

Asakura Shoten 2004.1

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Responsible for pages：570-590 Language：Japanese Book type：Textbook, survey, introduction
A Garden of Quanta: Essays in Honor of Hiroshi Ezawa Reviewed International journal

Fumio Hiroshima（Role：Joint authorNonrelativistic QED at large momentum of photons）

World Scientific 2003.9

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Total pages：520 Language：English Book type：Scholarly book
Introduction to mathematical physics 4

Fumio Hiroshima（Role：Joint author開放系のスペクトル解析:汎関数積分によるアプローチ）

Yuseisha 2002.1

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Responsible for pages：143-174 Language：Japanese Book type：General book, introductory book for general audience

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Presentations

Analysis of time operators associated with 1D harmonic oscillator Invited International conference

Fumio Hiroshima

Time in Quantum Theory 2025 2025.6 Pavia university

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Event date： 2025.6

Language：English Presentation type：Poster presentation

Venue：Italy Country：Italy
Renormalized spectral zeta function of Rabi model International conference

Fumio Hiroshima

Mathematical Challenges in Quantum Mechanics 2024.2

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Event date： 2024.2

Language：English Presentation type：Oral presentation (general)

Venue：online Country：Japan

We discuss the asymptotic behaviors of the renormalized spectral zeta function of Rabi model and we derive the Riemann zeta function.
Localization of a renormalized Hamiltonian in QFT by a path measure Invited International conference

Fumio Hiroshima

Random Interacting Systems, Scaling Limits, and Universality 2023.12

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Event date： 2023.12

Language：English Presentation type：Oral presentation (general)

Venue：シンガポール国立大学 INS Country：Singapore
Semi-classical analysis in QFT Invited International conference

Fumio Hiroshima

Mathematical Physics in the heart of Germany 2023.7

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Event date： 2023.7

Language：English Presentation type：Oral presentation (general)

Venue：Paderborn大学 Country：Germany
Recent Advancesin Quantum and Statistical Mechanics Invited International conference

Fumui Hiroshima

Hausdorff School in Bon 2023.6

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Event date： 2023.6

Language：English Presentation type：Public lecture, seminar, tutorial, course, or other speech

Venue：Bonn university Country：Germany

博士課程の学生と若い研究者に、多体問題、量子力学、および場の量子理論に重点を置いた、数理物理学の最近の発展の一部を紹介する。近年、これらの分野で新しい解析的および確率的手法が開発され、数理物理学のコミュニティが多粒子系および場＋粒子系の理解を進めることができるようになった。今回、そのような方法を提示し、異なる数学的背景と研究背景をもつ研究者間でアイデアを交換するための環境作りを目的とする。
Semi-classical analysis in quantum field theory, The 43-rd International Conference on Quantum Probability and Infinite Dimensional Analysis Invited International conference

Fumio Hiroshima

43rd International Conference on Quantum Probability and Infinite Dimensional Analysis (QP-43) 2023.1

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Event date： 2023.1

Language：English Presentation type：Oral presentation (general)

Venue：麗水 Country：Korea, Republic of
Asymmetry of non-local discrete Schroedinger operators on a lattice Invited International conference

Fumio Hiroshima

Mathematical Analysis and its Applications in Modern Mathematical Physics 2022.9

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Event date： 2022.9

Language：English

Venue：サマルカンド Country：Uzbekistan
Angle operators and phase operators associated with　1D-harmonic oscillator Invited International conference

Fumio Hiroshima

A quantum two-day meeting with Green talks, Green functions, and threshold behavior 2022.4

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Event date： 2022.4

Language：English Presentation type：Oral presentation (general)

Venue：Aalborg univ Country：Denmark
Semi-classical analysis between Newton-Maxwell equation and non-relativistic QED Invited

廣島文生

解析から設計に向けたオフシェル数理科学, IMI共同利用 2022.2

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Event date： 2022.2

Language：Japanese

Venue：福岡 Country：Japan
Newton Maxwell equation through semi-classical analysis

廣島文生

RIMS研究会,量子場の数理とその周辺 2021.12

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Event date： 2021.12

Language：Japanese Presentation type：Oral presentation (general)

Venue：京都 Country：Japan
Localization of the ground state of the Nelson model Invited International conference

廣島文生

Himeji conference on PDE 2021.3

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Event date： 2021.3

Language：English Presentation type：Oral presentation (general)

Country：Japan
汎関数積分によるくりこみ理論と基底状態の非摂動的解析について Invited

廣島文生

日本数学会 2021.6

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Event date： 2020.9

Language：Japanese Presentation type：Oral presentation (invited, special)

Venue：熊本大学　オンライン Country：Japan
Localizations of bound states of a renormalized Hamiltonian Invited International conference

Fumio Hiroshima

Scattering, microlocal analysis and renormalisation,Mittag-Leffler Institute, Stockholm 2020.6

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Event date： 2020.6

Language：English Presentation type：Oral presentation (general)

Venue：Mittag-Leffler Institute, Stockholm Country：Sweden

Localizations of bound states of a renormalized Hamiltonian, Mittag-Leffler Institute, Stockholm, 2020.06
Semi-classical analysis and Wigner measure for non-relativistic QED Invited International conference

Fumio Hiroshima

NAKAMURA60, Gakushuin univ. 2020.1

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Event date： 2020.1

Language：English Presentation type：Oral presentation (general)

Venue：Gakushuin Univ. Country：Japan
確率解析的くりこみ理論 Invited

廣島文生

日本数学会秋季総合分科会函数解析学分科会特別講演 2019.9

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Event date： 2019.9

Language：Japanese Presentation type：Oral presentation (invited, special)

Venue：日本大 Country：Japan

Fumio Hiroshima, Stochastic renormalization, MSJ, Nippon univ. , special lecture, 2019.09
Hierarchy of CCR representations Invited International conference

Fumio Hiroshima

Aarhus university, seminar, Denmark 2018.10

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Event date： 2018.10

Language：English Presentation type：Oral presentation (general)

Venue：Aarhus university Country：Denmark
Integral kernels of semigroup generated by a model in quantum field theory Invited International conference

Fumio Hiroshima

18th Workshop: Noncommutative Probability, Operator Algebras, Random Matrices and Related Topics, with Applications,Bedlewo, Poland 2018.7

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Event date： 2018.7

Language：English Presentation type：Oral presentation (general)

Venue：Bedlewo, Poland Country：Poland
Ground state of renormalized Nelson model Invited International conference

Fumio Hiroshima

Aarhus university, Math. Phys. seminar, Denmark 2017.12

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Event date： 2017.12

Language：English Presentation type：Oral presentation (general)

Venue：Aarhus university Country：Denmark
Schroedinger operators on lattice Invited International conference

Fumio Hiroshima

Second Summer School: Various aspects of mathematical physics,St Petersburg,Russia 2017.7

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Event date： 2017.7

Language：English Presentation type：Public lecture, seminar, tutorial, course, or other speech

Venue：St Petersburg,Russia Country：Russian Federation

Other Link： https://www.youtube.com/watch?v=HN-PAclC0Hw&feature=youtu.be&list=PLQNzZZrXfOqe-dJJtmA3pUKV8YE7pq0FQ
Feynman-Kac formula and its application to quantum physics Invited International conference

Fumio Hiroshima

Mathematical Analysis of Interacting Quantum Systems, Rennes univ., France 2017.3

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Event date： 2017.3

Language：English Presentation type：Oral presentation (general)

Venue：Rennes University Country：France
Analysis of time operators International conference

Fumio Hiroshima

La Sapienza univ. Math. Phys. seminar, Rome 2017.2

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Event date： 2017.2

Language：English Presentation type：Oral presentation (general)

Venue：La Sapienza Univ Country：Italy
Time operator associated with Schroedinger operators International conference

Fumio Hiroshima

QUTIS, Bilbao, Spain 2016.9

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Event date： 2016.9

Language：English Presentation type：Oral presentation (general)

Venue：Basque大学 Country：Spain
Threshold ground state of the semi-relativistic Pauli-Fierz Hamiltonian,Aarhus university International conference

Fumio Hiroshima

Aarhus univ. Seminar, Denmark 2016.2

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Event date： 2016.2

Language：English Presentation type：Oral presentation (general)

Country：Japan
確率解析的場の量子論 Invited

廣島文生

日本数学会秋季総合分科会確率統計学分科会特別講演 2015.9

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Event date： 2015.9

Language：Japanese Presentation type：Oral presentation (invited, special)

Venue：京産大 Country：Japan

Fumio Hiroshima, Stochastic analysis of quantum field theory, MSJ, Kyoto Ind. univ. , special lecture, 2015.09
Analysis of ground state of quantum field theory by Gibbs measures International conference

Fumio Hiroshima

International Congress of Mathematical Physics(ICMP) 2015,Chile 2015.8

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Event date： 2015.7 - 2015.8

Language：English Presentation type：Oral presentation (general)

Venue：サンチャゴ(チリ) Country：Chile
Spectrum of semi-relativistic QED by a Gibbs measure Invited International conference

Fumio Hiroshima

The 51 winter school of theoretical physics (Karpacz Winter Schools in Theoretical Physics), Poland 2015.2

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Event date： 2015.2

Language：English Presentation type：Oral presentation (general)

Venue：ポーランド Country：Poland
Functional integral approach to mathematically rigorous quantum field theory International conference

Fumio Hiroshima

TJASSST2013, Tunisia 2013.11

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Event date： 2013.11 - 2013.10

Language：English Presentation type：Oral presentation (general)

Venue：Hammamet Yasmine (Tunisia) Country：Other
Gibbs measure approach to spin-boson model International conference

Fumio Hiroshima

International conference on stochastic analysis and applications, Tunisia 2013.10

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Event date： 2013.10

Language：English

Venue：Hammamet (Tunisia) Country：Other
非相対論的場の量子論とギブス測度 Invited

廣島文生

2013数理物理サマースクール講師 2013.9

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Event date： 2013.9

Language：Japanese Presentation type：Public lecture, seminar, tutorial, course, or other speech

Venue：東大 Country：Japan

Fumio Hiroshima, Non-relativistic QFT and Gibbs measures, math and phys summer school lecturer, Univ. Tokyo, 2013.09
Gibbs measure approach to properties of ground state in QFT International conference

Fumio Hiroshima

Laboratoire d’Analyse,Topologie,Probabilités seminar, Universite d'Aix Marseilles,Luminy, France 2013.3

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Event date： 2013.3

Language：English

Venue：Marseille Country：France
Removal of UV cutoff of the Nelson model by stochastic analysis International conference

Fumio Hiroshima

量子場の数理とその周辺 2012.11

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Event date： 2012.11

Language：English Presentation type：Oral presentation (general)

Venue：京大数理解析研究所 Country：Japan
Spectral analysis of QFT by functional integrals with jump processes Invited International conference

Fumio Hiroshima

SPA,Osaka 2010.9

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Event date： 2010.9

Language：English Presentation type：Oral presentation (general)

Venue：Osaka Country：Japan
Functional integrations in quantum field theory Invited International conference

Fumio Hiroshima

The 24th Max Born symposium, Wroclaw Univ. 2008.9

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Event date： 2008.9

Language：English Presentation type：Oral presentation (general)

Venue：Wroclaw Univ. Country：Poland
Spectral analysis of Schrodinger operators coupled to a quantum field Invited

廣島文生

日本数学会秋季総合分科会函数解析学分科会特別講演 2004.9

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Event date： 2004.9

Language：Japanese Presentation type：Oral presentation (invited, special)

Venue：北海道大 Country：Japan

Fumio Hiroshima, Spectral analysis of Schrodinger operators coupled to a quantum field, MSJ, Hokkaido univ., special lecture, 2004.09
Spectral analysis of atoms interacting with a quantized radiation field Invited

廣島文生

2000数理物理サマースクール講師 2000.9

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Event date： 2000.9 - 2013.9

Language：Japanese Presentation type：Public lecture, seminar, tutorial, course, or other speech

Venue：学習院大 Country：Japan

Fumio Hiroshima, Spectral analysis of atoms interacting with a quantized radiation field, math and phys summer school lecturer, Gakushuin univ., 2000.09
Spectrum of non-commutative harmonic oscillator and related models International conference

Fumio Hiroshima

Bologna univ. seminar, Italy 2013.9

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Language：English Presentation type：Oral presentation (general)

Venue：Bologna Univ. Country：Italy
Analysis of the Pauli-Fierz model for arbitrary coupling constant Invited International conference

Fumio Hiroshima

Workshop on Open Classical and Quantum Field Theory, Lille univ. ,France 1999.6

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Language：English Presentation type：Oral presentation (general)

Venue：Lille大学 Country：France

Analysis of the Pauli-Fierz model for arbitrary coupling constant
Ground states of a system interacting with a radiation field: existence, uniqueness and expression Invited International conference

Fumio Hiroshima

UAB Mathematical Physics Congress 99, Alabama univ. USA 1999.3

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Language：English Presentation type：Oral presentation (general)

Venue：Alabama大学 Country：United States

Ground states of a system interacting with a radiation field: existence, uniqueness and expression
Self-adjointness of the Pauli-Fierz model for arbitrary coupling constants International conference

Fumio Hiroshima

Relativistic quantum system and quantum electrodynamics, Mathematisches Forschungsinstitut Oberwolfach 2001.8

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Language：English Presentation type：Symposium, workshop panel (public)

Venue：Mathematisches Forschungsinstitut Oberwolfach Country：Germany

Self-adjointness of the Pauli-Fierz model for arbitrary coupling constants
Feynman-Kac formula Invited International conference

Fumio Hiroshima

Mini-course on Feynman-Kac formulas and their applications, Wien University, WPI 2006.3

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Language：English Presentation type：Oral presentation (general)

Venue：Wien University, WPI Country：Austria

Other Link： http://www.wpi.ac.at/
Enhanced binding for quantum field models International conference

Fumio Hiroshima

Universite de Rennes 1 seminar, France 2013.3

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Language：English Presentation type：Oral presentation (general)

Venue：Rennes I Univ. Country：France
Gibbs measures associated with quantum Rabi model Invited International coauthorship International conference

Fumio Hiroshima

INTERNATIONAL SCIENTIFIC CONFERENCE “MATHEMATICAL ANALYSIS AND DYNAMICAL SYSTEMS” 2025.5 V.I.Romanovsky Institute of Mathematics

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Event date： 2024.5 - 2025.5

Language：English Presentation type：Oral presentation (invited, special)

Venue：Uzbekistan Country：Uzbekistan
Feynman-Kac type formula with cadlag path and generalized Schroedinger operator with spin

廣島文生

量子科学における双対性とスケール 2011.6

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Event date： 2010.11

Presentation type：Oral presentation (general)

Venue：京大基礎物理研究所 Country：Japan

Feynman-Kac type formula with cadlag path and generalized Schroedinger operator with spin
Relativistic Pauli-Fierz model in QED by path measures International conference

Fumio Hiroshima

数学的場の量子論とくりこみ理論 2009.11

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Event date： 2009.11

Presentation type：Oral presentation (general)

Venue：九大西新プラザ Country：Japan
Spectral analysis of QFT by functional integrations Invited International conference

Fumio Hiroshima

Stochastic analysis and applications, 2008 (福岡) 2008.9

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Event date： 2008.9

Presentation type：Oral presentation (general)

Venue：福岡・西新プラザ Country：Japan
Self-adjointness of the Pauli-Fierz Hamiltonian for arbitrary values of coupling constants International conference

Fumio Hiroshima

Munchen大学 (LMU) 談話会 2001.3

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Presentation type：Oral presentation (general)

Venue：Munchen大学 (LMU) Country：Germany

Self-adjointness of the Pauli-Fierz Hamiltonian for arbitrary values of coupling constants
Effective mass and its mass renormalization of nonrelativistic QED

廣島文生

繰り込み群の数理物理学への応用, RIMS 2003.9

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Presentation type：Oral presentation (general)

Venue：京都大学数理解析研究所 Country：Japan

Effective mass and its mass renormalization of nonrelativistic QED
Degenerate ground states of QED International conference

Fumio Hiroshima

Frontier of noncommutative analysis and mathematical quantum theory（福岡） 2002.8

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Presentation type：Oral presentation (general)

Venue：福岡 Country：Japan

Degenerate ground states of QED
Enhanced binding and mass renormalization of QED

廣島文生

散乱理論とその周辺, RIMS 2003.10

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Presentation type：Oral presentation (general)

Venue：京都大学数理解析研究所 Country：Japan

Enhanced binding and mass renormalization of QED'
Spectral analysis of partcles interacting through quantum fields Invited

廣島文生

微分方程式の総合的研究, 東京大学 2003.12

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Presentation type：Oral presentation (general)

Venue：東京大学 Country：Japan

Spectral analysis of partcles interacting through quantum fields
Asymptotic fields and ground states of quantum field models International conference

Fumio Hiroshima

Open Quantum System, E.Schrodinger Inst. Wien. 2005.3

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Language：English Presentation type：Oral presentation (general)

Venue：ESI Country：Austria

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MISC

Martin Heirer: An Overview of His Achievements Invited

Fumio Hiroshima

Sugaku 68 2016.2

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Language：Japanese Publishing type：Article, review, commentary, editorial, etc. (scientific journal)
Perturbation Problems of Embedded Eigenvalues in Quantum Field Theory Invited

Fumio Hiroshima

Sugaku 57 2005.1

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Language：Japanese Publishing type：Article, review, commentary, editorial, etc. (scientific journal)

Perturbation problems of embedded eigenvalues in quantum field theory
RIMS Kôkyûroku Bessatsu B45 Invited Reviewed International coauthorship

Fumio Hiroshima

RIMS Kôkyûroku Bessatsu B45 B45 2014.4

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Language：English Publishing type：Meeting report
Mathematical quantum field theory and renormalization theory

Takashi Hara, Taku Matsui and Fumio hiroshima

COE Lecture Note 30 2011.1

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Language：English Publishing type：Internal/External technical report, pre-print, etc.

Professional Memberships

The Mathematical Society of Japan

1992.4 - Present

Committee Memberships

Functional Analysis Section, Mathematical Society of Japan Councilor Domestic

2022.4 - 2023.3
Functional Analysis Section, Mathematical Society of Japan Liaison Representative on the Council Domestic

2021.4 - 2022.3

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Committee type：Academic society
Committee for the Analysis Prize, Mathematical Society of Japan Secretariat Domestic

2020.4 - 2022.3

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Committee type：Academic society
Committee for the Analysis Prize, Mathematical Society of Japan Chair Domestic

2020.4 - 2021.3

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Committee type：Academic society
Functional Analysis Section, Mathematical Society of Japan Councilor Domestic

2020.4 - 2021.3

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Committee type：Academic society
Real Function Theory and Functional Analysis Section, Mathematical Society of Japan Local Chair of the Joint Symposium Domestic

2019.4 - 2020.3

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Committee type：Academic society
Functional Analysis Section, Mathematical Society of Japan Committee Member of the PDE Group Domestic

2017.4 - 2020.3

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Committee type：Academic society
Association of Supporters for the Kyushu Young Mathematician Award Secretariat Domestic

2014.4 - Present

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Committee type：Academic society
Editorial Work for the MSJ Newsletter Steering committee member Domestic

2012.4 - 2013.3

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Committee type：Academic society
日本数学会九州支部 Steering committee member Domestic

2012.4 - 2013.3
日本数学会数学通信編集数学通信編集委員 Domestic

2012.4 - 2013.3
Kyushu Branch of the Mathematical Society of Japan Liaison Representative Councilor of the Kyushu Branch Domestic

2012.4 - 2013.3

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Committee type：Academic society

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Academic Activities

the Mathematical Roads to Quantum Field Theory, International contribution

Role(s)： Planning, management, etc.,　Panel moderator, session chair, etc.

RIMS 2026.4

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Type：Competition, symposium, etc.

Number of participants：40
NCPRT2025

Role(s)： Planning, management, etc.

2025.10

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Type：Competition, symposium, etc.
Mathematical aspects of quantum ﬁelds and related topics

Role(s)： Planning, management, etc.

RIMS 2023.12

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Type：Competition, symposium, etc.
ICIAM2023

Role(s)： Planning, management, etc.

ICIAM 2023.8

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Type：Academic society, research group, etc.
Mathematical aspects of quantum ﬁelds and related topics International contribution

Role(s)： Planning, management, etc.

RIMS （ Japan ） 2023.1

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Type：Competition, symposium, etc.

Number of participants：50
Rabi model and Spin-Boson model

Role(s)： Planning, management, etc.

WISE Program for Mathematics for Innovation 2023.1

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Type：Competition, symposium, etc.
Mathematical aspects of quantum ﬁelds and related topics

Role(s)： Planning, management, etc.

RIMS （ Japan ） 2022.12

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Type：Competition, symposium, etc.

Number of participants：20
Theory and Experiments of Time, Quantum Measurement, and Semiclassical Approximation — At the Interface between Classical and Quantum Physics

Role(s)： Planning, management, etc.

Institute of Mathematics for Industry, Kyushu University （ Japan ） 2022.7

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Type：Competition, symposium, etc.
Mathematical aspects of quantum ﬁelds and related topics

Role(s)： Planning, management, etc.

RIMS （ Japan ） 2021.12

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Type：Competition, symposium, etc.

Number of participants：50
Mathematical aspects of quantum ﬁelds and related topics

Role(s)： Planning, management, etc.

RIMS （ Japan ） 2021.3

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Type：Competition, symposium, etc.
Spectral and Scattering Theory and Related Topics

Role(s)： Planning, management, etc.

RIMS （ Japan ） 2020.12

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Type：Competition, symposium, etc.
Mathematical aspects of quantum ﬁelds and related topics

Role(s)： Planning, management, etc.

RIMS （ Japan ） 2019.6

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Type：Competition, symposium, etc.
Mathematical aspects of quantum ﬁelds and related topics

Role(s)： Planning, management, etc.

RIMS （ Japan ） 2018.6

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Type：Competition, symposium, etc.
Mathematical aspects of quantum ﬁelds and related topics

Role(s)： Planning, management, etc.

RIMS （ Japan ） 2017.6

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Type：Competition, symposium, etc.
Mathematical aspects of quantum ﬁelds and related topics International contribution

Role(s)： Planning, management, etc.

RIMS （ Japan ） 2016.6

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Type：Competition, symposium, etc.

Number of participants：40
Mathematical aspects of quantum ﬁelds and related topics

Role(s)： Planning, management, etc.

RIMS （ Japan ） 2015.10

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Type：Competition, symposium, etc.

Number of participants：40
Mathematical aspects of quantum ﬁelds and related topics

Role(s)： Planning, management, etc.

RIMS （ Japan ） 2014.10

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Type：Competition, symposium, etc.

Number of participants：40
Mathematical aspects of quantum ﬁelds and related topics International contribution

Role(s)： Planning, management, etc.

RIMS （ Japan ） 2013.10

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Type：Competition, symposium, etc.

Number of participants：50
Spectra of Noncommutative Harmonic Oscillators and the Mathematics of Quantum Devices International contribution

Role(s)： Planning, management, etc.

Institute of Mathematics for Industry, Kyushu University （ Japan ） 2012.11

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Type：Competition, symposium, etc.

Number of participants：50
Mathematical aspects of quantum ﬁelds and related topics International contribution

Role(s)： Planning, management, etc.

RIMS （ Japan ） 2012.11

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Type：Competition, symposium, etc.

Number of participants：80
Study Group Workshop International contribution

Role(s)： Planning, management, etc.

Institute of Mathematics for Industry, Kyushu University （ Japan ） 2012.7

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Type：Competition, symposium, etc.
Avoided? crossing of eigenvalue curves, non-commutative harmonic oscillator, special function and number theory International contribution

Role(s)： Planning, management, etc.

Institute of Mathematics for Industry, Kyushu University （ Japan ） 2012.3

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Type：Competition, symposium, etc.

Number of participants：50
Spectral and Scattering Theory and Related Topics International contribution

Role(s)： Planning, management, etc.

RIMS （ Japan ） 2011.12

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Type：Competition, symposium, etc.
Stochastic Process and their Applications 2010 International contribution

Role(s)： Planning, management, etc.,　Panel moderator, session chair, etc.

（ Japan ） 2010.9

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Type：Competition, symposium, etc.

Number of participants：1,000
Kyushu Probability Theory Study Group International contribution

Role(s)： Planning, management, etc.

（ Japan ） 2009.11

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Type：Competition, symposium, etc.
Mathematical Quantum Field Theory and Statistical Mechanics International contribution

Role(s)： Panel moderator, session chair, etc.

RIMS （ Japan ） 2009.11

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Type：Competition, symposium, etc.
Applications of the Renormalization Group to the Mathematical Sciences

Role(s)： Planning, management, etc.

RIMS （ Japan ） 2007.9

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Type：Competition, symposium, etc.

Number of participants：30
Rigorous Statistical Mechanics and Mathematical Quantum Field Theory International contribution

Role(s)： Planning, management, etc.,　Panel moderator, session chair, etc.

Institute of Mathematics for Industry, Kyushu University （ Japan ） 2006.9

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Type：Competition, symposium, etc.
Applications of the Renormalization Group to the Mathematical Sciences

Role(s)： Planning, management, etc.

RIMS （ Japan ） 2005.9

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Type：Competition, symposium, etc.
Proceedings of RIMS2235

2023.6

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Type：Academic society, research group, etc.
Proceedings of RIMS2187

2023.6

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Type：Academic society, research group, etc.
Proceedings of RIMS2123

2023.6

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Type：Academic society, research group, etc.
Reviewer, Emergent Research Development Division, JST

Role(s)： Review, evaluation

2023.4 - 2024.3

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Type：Scientific advice/Review
Proceedings of RIMS

RIMS 2023.1

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Type：Academic society, research group, etc.

Number of participants：40
Lecture Note of IMI 92

IMI 2022.7

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Type：Academic society, research group, etc.

Number of participants：40
Proceedings of RIMS 2089 International contribution

2022.6

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Type：Academic society, research group, etc.
Screening of academic papers

Role(s)： Peer review

2022

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Type：Peer review

Number of peer-reviewed articles in foreign language journals：11
Screening of academic papers

Role(s)： Peer review

2021

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Type：Peer review

Number of peer-reviewed articles in foreign language journals：11
Screening of academic papers

Role(s)： Peer review

2020

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Type：Peer review

Number of peer-reviewed articles in foreign language journals：2
Screening of academic papers

Role(s)： Peer review

2019

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Type：Peer review

Number of peer-reviewed articles in foreign language journals：3
Screening of academic papers

Role(s)： Peer review

2018

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Type：Peer review

Number of peer-reviewed articles in foreign language journals：10
Screening of academic papers

Role(s)： Peer review

2017

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Type：Peer review

Number of peer-reviewed articles in foreign language journals：6
Screening of academic papers

Role(s)： Peer review

2016

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Type：Peer review

Number of peer-reviewed articles in foreign language journals：7
Screening of academic papers

Role(s)： Peer review

2015

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Type：Peer review

Number of peer-reviewed articles in foreign language journals：4
Screening of academic papers

Role(s)： Peer review

2014

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Type：Peer review

Number of peer-reviewed articles in foreign language journals：5
Screening of academic papers

Role(s)： Peer review

2013

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Type：Peer review

Number of peer-reviewed articles in foreign language journals：5
Screening of academic papers

Role(s)： Peer review

2012

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Type：Peer review

Number of peer-reviewed articles in foreign language journals：3
Screening of academic papers

Role(s)： Peer review

2011

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Type：Peer review

Number of peer-reviewed articles in foreign language journals：3
Ground States of the Nonlinear Schrödinger Equation

Role(s)： Planning, management, etc.

Institute of Mathematics for Industry, Kyushu University （ Japan ） 2010.3

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Type：Competition, symposium, etc.

Number of participants：30
Screening of academic papers

Role(s)： Peer review

2009

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Type：Peer review

Number of peer-reviewed articles in foreign language journals：4
Screening of academic papers

Role(s)： Peer review

2008

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Type：Peer review

Number of peer-reviewed articles in foreign language journals：3
Mathematical Society of Japan

Role(s)： Panel moderator, session chair, etc.

Mathematical Society of Japan （ Japan ） 2007.9

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Type：Competition, symposium, etc.
Screening of academic papers

Role(s)： Peer review

2007

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Type：Peer review

Number of peer-reviewed articles in foreign language journals：3
Screening of academic papers

Role(s)： Peer review

2005

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Type：Peer review

Number of peer-reviewed articles in foreign language journals：7

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Research Projects

Mathematics of Uncertainty Relations and Time Operators, and Their Experimental Verification in Physics International coauthorship

Grant number：25H00595 2025 - 2029

JSPS Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (A)

Fumio Hiroshima

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Grant type：Scientific research funding

CiNii Research
Non-Perturbative Spectral Analysis and Semiclassical Approximation in Quantum Field Theory via Stochastic Analytic Methods International coauthorship

Grant number：20H01808 2020 - 2024

Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)

Fumio Hiroshima

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Authorship：Principal investigator Grant type：Scientific research funding
Non-perturbative spectral analysis of quantum field theory by stochastic analysis and semi-classical approximation

Grant number：23K20217 2020 - 2024

JSPS Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)

Fumio Hiroshima

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Authorship：Principal investigator Grant type：Scientific research funding

佐々木格 (信州大),Z. Ammari (Rennes I 大, 仏), M. Falconi (Rome 大, 伊), M. Gubinelli (Bonn 大, 独), J. L orinczi (Loughborough大, 英), O. Matte (Aalborg 大, デンマーク) らと共同で, 以下の研究を行う.
1. 確率解析的手法によって場の量子論のハミルトニアンのスペクトルを非摂動的に解析する.
2. 拡張されたWigner測度による場の量子論の準古典近似解析を行う.
また研究会を開催し, 国内・海外の研究者と情報交換・意見交換し, 国内の若手研究者にも発表の機会を与える.

CiNii Research
Mathematical and experimental verification of time operators

Grant number：20K20886 2020 - 2021

Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Challenging Research(Exploratory)

Hiroshima Fumio

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Authorship：Principal investigator Grant type：Scientific research funding

This research is an experimental verification and theoretical study of the existence of the so-called "time operators". Let H be the Hamiltonian of the system. T is called a strong time operator iff there exists a pair (H,T) satisfying the weak Weil relation. This study is an extremely challenging research to experimentally confirm the existence of time operators, which is a concept in pure mathematics. Although the research did not proceed as originally planned due to COVID 2019, we were able to hold a workshop on the time operator, publish lecture notes, and present our results both in Japan and abroad. We also verified Arai's inequality in simulations.

CiNii Research
Infinite-Dimensional Analysis via Measure-Theoretic Methods and Its Applications to Spectral Analysis in Quantum Field Theory International coauthorship

Grant number：16H03942 2016 - 2019

Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)

Fumio Hiroshima

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Authorship：Principal investigator Grant type：Scientific research funding
Algebraic Properties of Spectral Curves for the Noncommutative Harmonic Oscillator and the Rabi Model

Grant number：15K13445 2015 - 2016

JSPS Grants-in-Aid for Scientific Research Grant-in-Aid for challenging Exploratory Research

Fumio Hiroshima

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Authorship：Principal investigator Grant type：Scientific research funding
Non-Perturbative Spectral Analysis of Infinite-Dimensional Quantum Systems via Stochastic Analytic Methods International coauthorship

Grant number：23340032 2011 - 2013

Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)

Fumio Hiroshima

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Authorship：Principal investigator Grant type：Scientific research funding
Spectral Analysis of Quantum Field Theory via Functional Integrals

Grant number：22654018 2010 - 2011

JSPS Grants-in-Aid for Scientific Research Grant-in-Aid for challenging Exploratory Research

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Authorship：Principal investigator Grant type：Scientific research funding
Non-Perturbative Spectral Analysis of Interacting Quantum Field Systems International coauthorship

Grant number：20340032 2008 - 2010

Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)

Fumio Hiroshima

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Authorship：Principal investigator Grant type：Scientific research funding
Spectral and Effective Mass Analysis of Schrödinger Operators Coupled to Quantum Fields International coauthorship

Grant number：17540181 2005 - 2007

Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)

Fumio Hiroshima

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Authorship：Principal investigator Grant type：Scientific research funding
Non-Perturbative Analysis of Systems with Interactions between Quantum Fields and Charged Particles International coauthorship

Grant number：15540191 2003 - 2004

Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)

Fumio Hiroshima

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Authorship：Principal investigator Grant type：Scientific research funding
Study of Schrödinger Operators Coupled to Quantized Radiation Fields International coauthorship

Grant number：13740106 2001 - 2002

JSPS Grants-in-Aid for Scientific Research Grant-in-Aid for Young Scientists (S)or(A)or(B)

Fumio Hiroshima

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Authorship：Principal investigator Grant type：Scientific research funding
Mathematical Modeling of Quantum Devices under the Influence of Phonons International coauthorship

2017.4 - 2019.3

JSPS Japan–Denmark Bilateral Collaborative Research Project

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Authorship：Collaborating Investigator(s) (not designated on Grant-in-Aid) Grant type：Competitive funding other than Grants-in-Aid for Scientific Research
CREST Cryptographic Mathematics: Mathematical Modeling, Quantum Interaction, and Next-Generation Cryptography Inspired by L-Functions International coauthorship

2016.4 - 2020.3

JSPS CREST

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Authorship：Coinvestigator(s) Grant type：Competitive funding other than Grants-in-Aid for Scientific Research
International Network Program for bilateral network activities (Denmark-Japan) International coauthorship

2016.4 - 2017.3

Aarhus university Danish Govt. Grants Opportunity for Bilateral Network Activities in R&D with China, India, Israel, Japan, USA, Brazil and the Republic of Korea

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Authorship：Collaborating Investigator(s) (not designated on Grant-in-Aid) Grant type：Competitive funding other than Grants-in-Aid for Scientific Research
Research-in-Group ICMS Edinburgh International coauthorship

2011.8

Research-in-Group

J.Lorinczi

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Authorship：Research collaborator Grant type：Competitive funding other than Grants-in-Aid for Scientific Research
Graduiertenkolleg "Mathematik in ihrer Wechselbzeihung zur Physik" International coauthorship

2001

Muenchen Technical University Graduiertenkolleg "Mathematik in ihrer Wechselbzeihung zur Physik"

Fumio Hiroshima

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Authorship：Principal investigator Grant type：Competitive funding other than Grants-in-Aid for Scientific Research

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Educational Activities

2005年前期微積分A担当(工学部)
2005年後期微積分B担当(工学部)
2006年前期線形代数A(数学科), 微積分続論(工学部)担当
2006年後期確率論基礎演習(数学科）, 線形代数B(数学科)担当
2007年前期線形代数A(数学科), 微分積分A(工学部)担当
2007年後期線形代数B(数学科),微分積分B(工学部)担当
2008年前期微分方程式大意(数学科4年生，修士), 確率論大意(数学科4年生，修士)担当
2008年後期解析学Ｃ・フーリエ解析(数学科3年生)担当
2009年前期線形代数A，微分積分A，確率論大意担当
2009年後期線形代数B，微分積分B，微分方程式大意担当
2010年前期微分積分Ａ, 確率論基礎・応用　
2010年後期微分積分B, 無限解析大意，数学IB
2011年前期微分積分Ａ, 確率論大意，数学展望，数学演習III(位相空間論)
2011年後期微分積分B, 無限解析大意，数学IB
2012年前期数学演習III(位相空間論)
2013年前期解析III（測度論）
2014年前期解析III（測度論）
2015前期無限解析大意
2016前期無限解析大意
2017前期無限解析大意
2018前期無限解析大意
2019前期無限解析大意
2020前期無限解析大意
2021前期無限解析大意
2022前期無限解析大意
2022前期解析II(フーリエ解析)
2023前期解析II(フーリエ解析)
2025前期無限解析大意

Class subject

無限解析大意

2025.4 - 2025.9 First semester
解析学II

2023.10 - 2024.3 Second semester
解析学II

2022.10 - 2023.3 Second semester
無限解析大意

2022.10 - 2023.3 Second semester
微分積分続論I

2022.4 - 2022.9 First semester
微分積分III

2021.4 - 2021.9 First semester
無限次元解析大意

2021.4 - 2021.9 First semester
微分積分I

2021.4 - 2021.9 First semester
微分積分学・同演習Ⅲ

2020.12 - 2021.2 Winter quarter
数理科学特論１２

2020.10 - 2021.3 Second semester
数理科学特別講義ⅩⅡ

2020.10 - 2021.3 Second semester
数学演習ⅠＢ

2020.10 - 2021.3 Second semester
微分積分学・同演習Ⅱ

2020.10 - 2020.12 Fall quarter
数学特論６

2020.4 - 2020.9 First semester
数学特論６

2020.4 - 2020.9 First semester
無限解析大意

2020.4 - 2020.9 First semester
数学演習ⅠＡ

2020.4 - 2020.9 First semester
微分積分学・同演習Ⅰ

2020.4 - 2020.9 First semester
数学特論６

2020.4 - 2020.9 First semester
無限解析大意

2020.4 - 2020.9 First semester
数学演習ⅠＡ

2020.4 - 2020.9 First semester
微分積分学・同演習Ⅰ

2020.4 - 2020.9 First semester
微分積分学・同演習Ⅲ

2019.12 - 2020.2 Winter quarter
線形代数学・同演習Ｂ

2019.10 - 2020.3 Second semester
ＭＭＡ講究Ｂ

2019.10 - 2020.3 Second semester
微分積分学・同演習Ⅱ

2019.10 - 2019.12 Fall quarter
数学特論６

2019.4 - 2019.9 First semester
数学特論６

2019.4 - 2019.9 First semester
無限解析大意

2019.4 - 2019.9 First semester
線形代数

2019.4 - 2019.9 First semester
微分積分学・同演習Ⅰ

2019.4 - 2019.9 First semester
線形代数学・同演習Ａ

2019.4 - 2019.9 First semester
微分積分学・同演習Ⅲ

2018.12 - 2019.2 Winter quarter
数学特論６

2018.10 - 2019.3 Second semester
無限解析大意

2018.10 - 2019.3 Second semester
MMA講究D

2018.10 - 2019.3 Second semester
微分積分学・同演習Ⅱ

2018.10 - 2018.12 Fall quarter
数学特論６

2018.4 - 2018.9 First semester
微分積分学・同演習Ⅰ

2018.4 - 2018.9 First semester
線形代数

2018.4 - 2018.9 First semester
数理学講究第Ⅰ

2017.10 - 2018.3 Second semester
数理学講究第Ⅱ

2017.4 - 2018.3 Full year
数理学基礎論究

2017.4 - 2018.3 Full year
数理学基礎講究Ⅱ

2017.4 - 2018.3 Full year
数理学基礎講究Ⅰ

2017.4 - 2018.3 Full year
数学特論６

2017.4 - 2017.9 First semester
無限解析大意

2017.4 - 2017.9 First semester
数学演習ⅠA

2017.4 - 2017.9 First semester
ルベーク積分

2017.4 - 2017.9 First semester
積分論の基礎

2017.4 - 2017.9 First semester
数学IB

2013.10 - 2014.3 Second semester
数学概論III(位相空間論)

2013.10 - 2014.3 Second semester
応用数学III

2013.10 - 2014.3 Second semester
微分積分続論

2013.4 - 2013.9 First semester
無限次元解析大意

2013.4 - 2013.9 First semester
数学IB(関数論)

2012.10 - 2013.3 Second semester
数学概論III(位相空間論)

2012.10 - 2013.3 Second semester
応用数学III(確率解析)

2012.10 - 2013.3 Second semester
無限解析大意

2012.4 - 2012.9 First semester
微分積分続論

2012.4 - 2012.9 First semester
無限解析大意

2011.10 - 2012.3 Second semester
微分積分・同演習A

2011.4 - 2011.9 First semester
微分積分・同演習B

2010.10 - 2011.3 Second semester
無限解析大意

2010.10 - 2011.3 Second semester
数学IB

2010.10 - 2011.3 Second semester
無限解析大意

2010.10 - 2011.3 Second semester
微分積分・同演習A

2010.4 - 2010.9 First semester
確率論大意

2010.4 - 2010.9 First semester
確率論大意

2010.4 - 2010.9 First semester
線形代数・同演習B

2009.10 - 2010.3 Second semester
微分積分・同演習B

2009.10 - 2010.3 Second semester
線形代数・同演習A

2009.4 - 2009.9 First semester
微分積分・同演習B

2009.4 - 2009.9 First semester
解析学Ｃ

2008.10 - 2009.3 Second semester
微分方程式大意

2008.4 - 2008.9 First semester
確率論大意

2008.4 - 2008.9 First semester
微分積分B

2007.10 - 2008.3 Second semester
線形代数B

2007.10 - 2008.3 Second semester
微分積分A

2007.4 - 2007.9 First semester
線形代数A

2007.4 - 2007.9 First semester
確率論基礎・演習

2006.10 - 2007.3 Second semester
線形代数Ｂ

2006.10 - 2007.3 Second semester
微分積分続論

2006.4 - 2006.9 First semester
線形代数Ａ

2006.4 - 2006.9 First semester
微分積分B

2005.10 - 2006.3 Second semester
微分積分A

2005.4 - 2005.9 First semester

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FD Participation

2025.4 Role：Speech Title：教員会議

Organizer：[Undergraduate school/graduate school/graduate faculty]
2024.5 Role：Speech Title：数理学学府教員会議

Organizer：Undergraduate school department
2017.3 Title：教室会議

Organizer：Undergraduate school department
2011.4 Role：Participation Title：教室会議

Organizer：Undergraduate school department
2010.6 Role：Participation Title：教室会議

Organizer：Undergraduate school department
2005.4 Role：Participation Title：不明

Organizer：University-wide

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Visiting, concurrent, or part-time lecturers at other universities, institutions, etc.

2019 Rennes I univeristy Classification:Intensive course Domestic/International Classification:Overseas
2017 Busan univeristy Classification:Intensive course Domestic/International Classification:Overseas
2014 北海道大学・理学部 Classification:Intensive course Domestic/International Classification:Japan

Semester, Day Time or Duration：11月
2009 信州大学 Classification:Intensive course Domestic/International Classification:Japan
2006 東京大学大学院数理科学研究科 Classification:Intensive course Domestic/International Classification:Japan

Semester, Day Time or Duration：6月
2002 金沢大学理学部 Classification:Intensive course Domestic/International Classification:Japan

Semester, Day Time or Duration：7月
2001 岡山大学理学部 Classification:Intensive course Domestic/International Classification:Japan

Semester, Day Time or Duration：7月
2001 京都繊維工芸大学 Classification:Part-time lecturer Domestic/International Classification:Japan

Semester, Day Time or Duration：2001年度から2004年度まで

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Participation in international educational events, etc.

2024.9

亜州大学，九州大学，NIMS

Ajou-Kyushu-NIMS Jpint Workshop

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Venue：韓国スオン市

Number of participants：100

Other educational activity and Special note

2025 Coaching of Students' Association 女子バスケット部

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顧問
2024 Coaching of Students' Association 女子バスケット部

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顧問
2023 Coaching of Students' Association 女子バスケット部

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顧問
2022 Coaching of Students' Association 女子バスケット部

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顧問
2021 Coaching of Students' Association 女子バスケット部

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顧問
2020 Class Teacher 学部
2005 Class Teacher 学部

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Outline of Social Contribution and International Cooperation activities

Lecturer of Hausdorff School for Mathematics, Bonn, 2023

Social Activities

2024九大オープンキャンパス

Role(s)：Lecturer

九大 2024.8
PTA福岡市大会実行委員

Role(s)：Organizing member

九州PTA 2024.6 - Present
福岡市立多々良中学校PTA会長

2024.4 - 2025.3

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Type：Other

福岡市立多々良中学校PTA会長
数列のお話

伝習館高校 2019.11

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Audience：Infants,　Schoolchildren,　Junior students,　High school students

Type：Seminar, workshop
バーゼル問題

香住丘高校 2018.11

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Audience：Infants,　Schoolchildren,　Junior students,　High school students

Type：Seminar, workshop
バーゼル問題

西南高校 2018.9

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Audience：Infants,　Schoolchildren,　Junior students,　High school students

Type：Seminar, workshop
バーゼル問題

高校出前授業 2015.10

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Audience：Infants,　Schoolchildren,　Junior students,　High school students

Type：Seminar, workshop
指数の拡大

オープンキャンパス 2013.8

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Audience：Infants,　Schoolchildren,　Junior students,　High school students

Type：Seminar, workshop
四則演算

高校出前授業 2012.6

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Audience：Infants,　Schoolchildren,　Junior students,　High school students

Type：Seminar, workshop
時間の数理

九大・数理九大・数理 2010.8

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Audience：General,　Scientific,　Company,　Civic organization,　Governmental agency

Type：Lecture
フェルマー、リーマン、ポアンカレ

九大オープンキャンパス 2009.8

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Audience：Infants,　Schoolchildren,　Junior students,　High school students

Type：Seminar, workshop
シュレディンガー方程式と経路積分

九大・数理九大・数理 2007.8

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Audience：General,　Scientific,　Company,　Civic organization,　Governmental agency

Type：Lecture
数の拡大

九大オープンキャンパス 2007.8

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Audience：Infants,　Schoolchildren,　Junior students,　High school students

Type：Seminar, workshop

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Media Coverage

Introduction of the MSJ 2019 Analysis Prize Winner Promotional material

MSJ 数学通信 2019.10

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Author：Myself

2019年度解析学賞受賞者紹介
学科紹介 Newspaper, magazine

数学セミナー 1994.12

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学科紹介
学科紹介 Newspaper, magazine

数学セミナー 1994.6

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学科紹介

Activities contributing to policy formation, academic promotion, etc.

1997.9 - 2020.3 Americal Mathematical Society

論文紹介(Mathematical Review)。2010年現在120本。

Educational Activities for Highly-Specialized Professionals in Other Countries

2023.6 Hausdorff School for Mathematics 講師

Main countries of student/trainee affiliation：Germany
2020.3 集中講義

Main countries of student/trainee affiliation：France
2018.10 学位副査

Main countries of student/trainee affiliation：Denmark
2017.10 集中講義

Main countries of student/trainee affiliation：Korea, Republic of
2006.3 Feynman-Kac formula (集中講義)

Main countries of student/trainee affiliation：Austria

Acceptance of Foreign Researchers, etc.

Rennes I大学

Acceptance period： 2025.3 （Period）：Less than 2 weeks

Nationality：France
Aalborg University

Acceptance period： 2024.11 （Period）：Less than 2 weeks

Nationality：Denmark
ミラノ工科大学

Acceptance period： 2024.3 （Period）：Less than 2 weeks

Nationality：Italy
Acceptance period： 2022.1 （Period）：Less than 2 weeks

Nationality：Germany
Aarhus 大学

Acceptance period： 2017.4 - 2017.9 （Period）：1 month or more

Nationality：Denmark

Business entity：Foreign governments, foreign research institutes, international organizations
Acceptance period： 2016.11 （Period）：Less than 2 weeks

Nationality：Poland
Acceptance period： 2016.10

Nationality：Denmark
Acceptance period： 2016.6 （Period）：Less than 2 weeks

Nationality：France
Acceptance period： 2016.6

Nationality：Germany
Acceptance period： 2016.6

Nationality：Italy
Tunis Univesity

Acceptance period： 2014.2 （Period）：Less than 2 weeks

Nationality：Other

Business entity：Japan Society for the Promotion of Science
Acceptance period： 2012.7 - 2014.6 （Period）：1 month or more

Nationality：Germany

Business entity：Foreign governments, foreign research institutes, international organizations
Orsay大学(パリ11大学)

Acceptance period： 2011.2 （Period）：Less than 2 weeks

Nationality：France

Business entity：Japan Society for the Promotion of Science
Loughborough大学

Acceptance period： 2010.9 - 2010.10 （Period）：2weeks to less than 1 month

Nationality：Netherlands

Business entity：Foreign governments, foreign research institutes, international organizations
Munchen 工科大学

Acceptance period： 2009.10 - 2010.1 （Period）：1 month or more

Nationality：Germany

Business entity：On-campus funds
Loughborough大学

Acceptance period： 2009.4 （Period）：2weeks to less than 1 month

Nationality：Netherlands

Business entity：Foreign governments, foreign research institutes, international organizations
Princeton 大学

Acceptance period： 2007.6 （Period）：Less than 2 weeks

Nationality：Switzerland
Munchen 工科大学

Acceptance period： 2007.5 - 2007.6 （Period）：2weeks to less than 1 month

Nationality：Netherlands
Warwick 大学

Acceptance period： 2006.8 - 2006.9 （Period）：2weeks to less than 1 month

Nationality：Germany
Wien 大学

Acceptance period： 2005.9 （Period）：Less than 2 weeks

Nationality：Netherlands

Business entity：Ministry of education

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Travel Abroad

2025.6

Staying countory name 1：Italy Staying institution name 1：Genoa
2024.6

Staying countory name 1：Korea, Republic of Staying institution name 1：Ajou university
2023.6

Staying countory name 1：Germany Staying institution name 1：HCM
2023.3

Staying countory name 1：France Staying institution name 1：Rennes I
2022.9

Staying countory name 1：Germany Staying institution name 1：Munster大学
2022.9

Staying countory name 1：Uzbekistan Staying institution name 1：Samarkand 州立大
2022.5

Staying countory name 1：Denmark Staying institution name 1：Aalborg大学
2022.4

Staying countory name 1：Italy Staying institution name 1：Milano工科大
2020.6

Staying countory name 1：Sweden Staying institution name 1：Mittag-Leffler
2018.8

Staying countory name 1：Poland Staying institution name 1：Bedlewo
2017.7

Staying countory name 1：Korea, Republic of Staying institution name 1：釜山大学
2017.7

Staying countory name 1：Russian Federation Staying institution name 1：Euler Institue
2016.9

Staying countory name 1：Spain Staying institution name 1：Basque 大学
2016.2

Staying countory name 1：Denmark Staying institution name 1：Aarhus大学
2015.9

Staying countory name 1：Chile Staying institution name 1：ICMP 2015
2015.2

Staying countory name 1：Poland Staying institution name 1：Karpacz Winter Schools in Theoretical Physics
2014.3 - 2014.4

Staying countory name 1：France Staying institution name 1：Rennes I Univesity
2013.11

Staying countory name 1：Other Staying institution name 1：Hammamet Yasmine (Tunisia)
2013.10

Staying countory name 1：Other Staying institution name 1：Hammamet(Tunisia)
2013.9

Staying countory name 1：Italy Staying institution name 1：Bologna大学
2013.7 - 2013.8

Staying countory name 1：Sweden Staying institution name 1：Mittag-Leffler 研究所
2013.3

Staying countory name 1：France Staying institution name 1：Marseille

Staying institution name 2：Rennes
2012.3

Staying countory name 1：France Staying institution name 1：Orsay 大学
2011.9 - 2011.10

Staying countory name 1：United Kingdom Staying institution name 1：Edinburgh 大学
2010.11

Staying countory name 1：France Staying institution name 1：Orsay 大学
2010.9

Staying countory name 1：United Kingdom Staying institution name 1：Loughborough 大学
2009.2

Staying countory name 1：Germany Staying institution name 1：Berlin大学
2008.10 - 2008.11

Staying countory name 1：France Staying institution name 1：IHES及びOrsay大学
2008.9

Staying countory name 1：United Kingdom Staying institution name 1：Laughboroug 大学

Staying countory name 2：Poland Staying institution name 2：Wroclaw 大学
2007.3

Staying countory name 1：Austria Staying institution name 1：Schroedinger Institute
2007.2 - 2007.3

Staying countory name 1：United Kingdom Staying institution name 1：Warwick 大学
2006.3

Staying countory name 1：Austria Staying institution name 1：Wien 大学 Pauli Institute
2005.3

Staying countory name 1：Austria Staying institution name 1：Schroedinger Institute
2003.2 - 2003.4

Staying countory name 1：Germany Staying institution name 1：Muenchen 工科大学
2001.8 - 2001.9

Staying countory name 1：Germany Staying institution name 1：Muenchen 工科大学
2001.2 - 2001.4

Staying countory name 1：Germany Staying institution name 1：Muenchen 工科大学
1999.2 - 2000.2

Staying countory name 1：Germany Staying institution name 1：Munchen 工科大学
1998.2 - 1999.1

Staying countory name 1：Germany Staying institution name 1：Bonn 大学応用数学研究所
1997.9 - 1998.1

Staying countory name 1：Germany Staying institution name 1：Ruhr 大学

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