Updated on 2025/01/31

Information

 

写真a

 
HIKAMI KAZUHIRO
 
Organization
Faculty of Mathematics Division of Analysis Associate Professor
School of Sciences Department of Mathematics(Concurrent)
Graduate School of Mathematics Department of Mathematics(Concurrent)
Joint Graduate School of Mathematics for Innovation (Concurrent)
Title
Associate Professor
External link

Degree

  • Doctor of Science

Research Interests・Research Keywords

  • Research theme: conformal algebra

    Keyword: conformal field theory

    Research period: 2008.1 - 2011.12

  • Research theme: quantum topology

    Keyword: quantum invariant, 3-manifold, knots

    Research period: 1999.8 - 2011.6

  • Research theme: quantum integrable system

    Keyword: quantum many-body system, quantum spin chain, quantum group

    Research period: 1992.4 - 2000.6

Papers

  • A note on double affine Hecke algebra for skein algebra on twice-punctured torus

    Hikami K.

    Journal of Geometry and Physics   209   2025.3   ISSN:03930440

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    Publisher:Journal of Geometry and Physics  

    We construct a generalization of the C∨C1-type double affine Hecke algebra for the skein algebra on the twice-punctured torus Σ1,2 using the Heegaard dual of the Iwahori–Hecke operator recently introduced in our previous article. We show that the automorphisms of our algebra correspond to the Dehn twists about the curves on Σ1,2. We also give the cluster algebraic construction of the classical limit of the skein algebra, where the Dehn twists are given in terms of the cluster mutations.

    DOI: 10.1016/j.geomphys.2024.105408

    Scopus

  • Generalized double affine Hecke algebra for double torus Reviewed International journal

    Hikami, K

    LETTERS IN MATHEMATICAL PHYSICS   114 ( 4 )   2024.8   ISSN:0377-9017 eISSN:1573-0530

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    Language:English   Publishing type:Research paper (scientific journal)   Publisher:Letters in Mathematical Physics  

    We propose a generalization of the double affine Hecke algebra of type-C∨C1 at specific parameters by introducing a “Heegaard dual” of the Hecke operators. Shown is a relationship with the skein algebra on double torus. We give automorphisms of the algebra associated with the Dehn twists on the double torus.

    DOI: 10.1007/s11005-024-01848-2

    Web of Science

    Scopus

  • Torus link T(2s,2t) and (s,t)-log VOA International journal

    Kazuhiro Hikami, Shoma Sugimoto

    arXiv   2023.6

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    Language:English  

    DOI: 10.48550/arXiv.2306.03338

    Repository Public URL: https://hdl.handle.net/2324/7332358

  • Non-semisimple invariants and Habiro's series Invited Reviewed International journal

    @Anna Beliakova, Kazuhiro Hikami

    Topology and Geometry: A Collection of Essays Dedicated to Vladimir G. Turaev   161 - 174   2021.6

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

    DOI: 10.4171/IRMA/33-1/10

  • DAHA and skein algebra on surface: double-torus knots Reviewed International journal

    Kazuhiro Hikami

    Letters in Mathematical Physics   2019.6

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

    DOI: 10.1007/s11005-019-01189-5

  • Note on Character Varieties and Cluster Algebras Reviewed International journal

    Kazuhiro Hikami

    SIGMA   15   003   2019.1

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

    DOI: 10.3842/SIGMA.2019.003

  • Hecke-type formulas for families of unified Witten-Reshetikhin-Turaev invariants Reviewed International journal

    Kazuhiro Hikami, Jeremy Lovejoy

    Commun. Number Theory and Physics   11 ( 2 )   249 - 272   2017.8

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

    DOI: 10.4310/CNTP.2017.v11.n2.a1

  • Braids, complex volume and cluster algebras Reviewed International journal

    Kazuhiro Hikami, R. Inoue

    Algebraic & Geometric Topology   15 ( 4 )   2175 - 2194   2015.8

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

    DOI: 10.2140/agt.2015.15.2175

  • Torus knots and quantum modular forms Reviewed International journal

    Kazuhiro Hikami, Jeremy Lovejoy

    Research in the Mathematical Sciences   2 ( 2 )   2015.1

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

    DOI: 10.1186/s40687-014-0016-3

  • Braiding operator via quantum cluster algebra Reviewed International journal

    Kazuhiro Hikami, R. Inoue

    Journal of Physics A: Mathematical and Theoretical   47   474006   2014.11

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

    DOI: 10.1088/1751-8113/47/47/474006

  • Cluster algebra and complex volume of once-punctured torus bundles and two-bridge links Reviewed International journal

    Kazuhiro Hikami, Rei Inoue

    Journal of Knot Theory and Its Ramifications   23 ( 1 )   2014.3

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

    DOI: 10.1142/S0218216514500060

  • Enriques Moonshine Reviewed International journal

    T. Eguchi, Kazuhiro Hikami

    Journal of Physics A: Mathematical and Theoretical   46 ( 31 )   312001   2013.8

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

    DOI: 10.1088/1751-8113/46/31/312001

  • Twisted elliptic genus for K3 and Borcherds product Reviewed International journal

    T. Eguchi, K. Hikami

    Letters in Mathematical Physics   102 ( 2 )   2012.10

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

    DOI: 10.1007/s11005-012-0569-2

  • N=2 moonshine Reviewed International journal

    T. Eguchi, K. Hikami

    Physics Letters B   717   2012.10

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

    DOI: 10.1016/j.physletb.2012.09.037

  • Decomposition of Witten-Reshetikhin-Turaev Invariant: linking pairing and modular forms Invited Reviewed International journal

    K. Hikami

    Chern-Simons Gauge Theory: 20 Years After   AMS/IP Studies in Advanced Mathematics 50   2011.7

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

  • Representations and the Colored Jones Polynomial of a Torus Knot Invited Reviewed International journal

    K. Hikami, H. Murakami

    Chern-Simons Gauge Theory: 20 Years After   AMS/IP Studies in Advanced Mathematics 50   2011.7

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

  • Note on Twisted Elliptic Genus of K3 Surface Reviewed International journal

    T. Eguchi, K. Hikami

    Physics Letters B   694   2011.3

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

    DOI: 10.1016/j.physletb.2010.10.017

  • On the modularity of the unified WRT invariants of certain Seifert manifolds Reviewed International journal

    K. Bringmann, K. Hikami, J. Lovejoy

    Advances in Applied Mathematics   46   2011.1

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

    DOI: 10.1016/j.aam.2009.12.004

  • One-Dimensional Vertex Models Associated with a Class of Yangian Invariant Haldane-Shastry Like Spin Chains Reviewed International journal

    B. Basu-Mallick, N. Bondyopadhaya, K. Hikami

    Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)   6 ( 91 )   2010.12

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

    DOI: 10.3842/SIGMA.2010.091

  • N=2 Superconformal Algebra and the Entropy of Calabi--Yau Manifolds Reviewed International journal

    T. Eguchi, K. Hikami

    Letters in Mathematical Physics   92   2010.6

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

    DOI: 10.1007/s11005-010-0387-3

  • N=4 superconformal algebra and the entropy of hyperKähler manifolds Reviewed International journal

    T. Eguchi, K. Hikami

    Journal of High Energy Physics   2010 ( 2 )   2010.2

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

    DOI: 10.1007/JHEP02(2010)019

  • Superconformal Algebras and Mock Theta Functions 2. Rademacher Expansion for K3 Surfaces Reviewed International journal

    T. Eguchi, K. Hikami

    Communications in Number Theory and Physics   3   2009.6

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

  • Superconformal Algebras and Mock Theta Functions Invited Reviewed International journal

    T. Eguchi, K. Hikami

    Journal of Physics A: Mathematical and Theoretical   42   2009.1

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

  • Colored Jones Polynomial with Polynomial Growth Reviewed International journal

    K. Hikami, H. Murakami

    Communications in Contemporary Mathematics   10, Suppl. 1   2008.6

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

  • Duality of Linking Pairing in Arnold's Singularities Reviewed International journal

    K. Hikami

    Proceedings of Japan Academy   84 Ser. A   2008.6

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

  • Skein Theory and Topological Quantum Registers: Braiding Matrices and Topological Entanglement Entropy of Non-Abelian Quantum Hall States Reviewed International journal

    K. Hikami

    Annals of Physics   323   2007.12

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

  • Asymptotics of the colored Jones polynomial and the A-polynomial Reviewed International journal

    K. Hikami

    Nuclear Physics B   773   2007.7

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

    DOI: 10.1016/j.nuclphysb.2007.03.022

  • Hecke Type Formula for Unified Witten–Reshetikhin–Turaev Invariants as Higher-Order Mock Theta Functions Reviewed International journal

    K. Hikami

    International Mathematics Research Notices   2007   2007.6

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

    DOI: 10.1093/imrn/rnm022

  • Generalized Volume Conjecture and the A-Polynomial: the Neumann--Zagier Potential Function as a Classical Limit of Partition Function Reviewed International journal

    K. Hikami

    Journal of Geometry and Physics   57   2007.6

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

  • Boson-Fermion Duality in SU(m|n) Supersymmetric Haldane-Shastry Spin Chain Reviewed International journal

    B. Basu-Mallick, N. Bondyopadhaya, K. Hikami, D. Sen

    Nuclear Physics B   782   2007.6

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

  • Quantum invariants, modular forms, and lattice points II Reviewed International journal

    K. Hikami

    Journal of Mathematical Physics   47   2006.10

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

    DOI: 10.1063/1.2349484

  • On the Quantum Invariants for the Spherical Seifert Manifolds Reviewed International journal

    K. Hikami

    Communications in Mathematical Physics   268   2006.6

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

    DOI: 10.1007/s00220-006-0094-1

  • Transformation Formula of the “Second” Order Mock Theta Function Reviewed International journal

    K. Hikami

    Letters in Mathematical Physics   75   2006.1

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

  • Mock (false) theta functions as quantum invariants Invited Reviewed International journal

    K. Hikami

    Regular & Chaotic Dynamics   10   2005.6

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

  • Quantum invariant, modular form, and lattice points Reviewed International journal

    K. Hikami

    International Mathematics Research Notices   2005   2005.6

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

    DOI: 10.1155/IMRN.2005.121

  • Hypergeometric Generating Function for L-Functions, Slater's Identities, and Quantum Knot Invariant Invited Reviewed International journal

    K. Hikami, A. N. Kirillov

    Algebra and Analysis   17 ( 1 )   2005.1

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

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Presentations

  • 二重アフィンHecke代数とスケイン代数 Invited

    樋上和弘

    スケイン代数とその周辺  2024.10 

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    Event date: 2024.10

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

    Venue:大阪公立大学 I-site なんば   Country:Japan  

  • Skein algebra, cluster algebra, DAHA Invited

    樋上和弘

    東北クラスターセミナー  2023.6 

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    Event date: 2023.6

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

    Venue:東北大学   Country:Japan  

  • 入門:モックテータ関数とムーンシャイン Invited

    樋上和弘

    早稲田整数論セミナー  2022.12 

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    Event date: 2022.12

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

    Venue:Zoom   Country:Japan  

  • 3-manifodls and quantum modular forms Invited International conference

    Kazuhiro Hikami

    AMS spring western virtual sectional meeting: special session "q-series, number theory, and quantum topology"  2022.5 

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    Event date: 2022.5

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Zoom (hosted by American Mathematical Society)   Country:Japan  

  • モックモジュラー形式と量子モジュラー形式 Invited

    樋上和弘

    東北大学理学部数学科 談話会  2021.6 

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    Event date: 2021.6

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Zoom   Country:Japan  

  • Quantum invariants, q-series, DAHA Invited International conference

    Kazuhiro Hikami

    Number Theory, Strings, and Quantum Physics  2021.6 

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    Event date: 2021.5 - 2021.6

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Zoom (host: University of Tokyo)   Country:Japan  

  • Braid Group and Cluster Algebra Invited International conference

    Kazuhiro Hikami

    GeMAT Seminar (Geometric Methods in Algebra and Topology)  2020.7 

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    Event date: 2020.7

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

    Venue:Skype (organizer: Institute of Mathematics of the Romanian Academy)   Country:Japan  

  • DAHA and skein algebra on surfaces Invited International conference

    Kazuhiro Hikami

    Zoom Cluster Seminar  2020.6 

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    Event date: 2020.6

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

    Venue:Zoom (host: Michigan State University)   Country:Japan  

  • DAHA and skein algebra of surfaces Invited International conference

    Kazuhiro Hikami

    Quiver Hecke algebra and its applications to topology  2019.7 

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    Event date: 2019.7

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Inuyama International Youth Hostel   Country:Japan  

  • On Kauffman bracket skein algebra and DAHA Invited International conference

    Kazuhiro Hikami

    Volume Conjecture in Tokyo  2018.8 

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    Event date: 2018.8

    Language:English   Presentation type:Oral presentation (general)  

    Venue:University of Tokyo   Country:Japan  

  • Quantum invariants of knots/3-manifolds and modular forms Invited International conference

    Kazuhiro Hikami

    Trends in Modular Forms  2017.12 

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    Event date: 2017.12

    Language:English   Presentation type:Oral presentation (general)  

    Venue:National Institute for Mathematical Sciences, Daejeon   Country:Korea, Republic of  

  • Quantum Modular Forms I, II Invited International conference

    Kazuhiro Hikami

    Indefinite Theta Functions and Applications in Physics & Geometry  2017.6 

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    Event date: 2017.6

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

    Venue:Hamilton Mathematics Institute, Trinity College Dublin   Country:Ireland  

  • q-series and quantum invariants Invited International conference

    Kazuhiro Hikami

    Frontiers in Mathematical Physics  2017.1 

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    Event date: 2017.1

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Rikkyo University   Country:Japan  

  • Quantum Modular Form from Knots and 3-manifolds Invited International conference

    Kazuhiro Hikami

    Number Theory and Physics  2016.5 

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    Event date: 2016.5

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Institut Henri Poincaré   Country:France  

  • Quantum modular form from torus knots Invited International conference

    Kazuhiro Hikami

    Low-Dimensional Topology and Number Theory  2014.8 

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    Event date: 2014.8

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Mathematisches Forschungsinstitut Oberwolfach   Country:Germany  

  • (mock) modular form and quantum invariant Invited International conference

    Kazuhiro Hikami

    Mock Modular Forms and Physics: Black Holes, Moonshine, and Conformal Field Theory  2014.4 

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    Event date: 2014.4

    Language:English   Presentation type:Oral presentation (general)  

    Venue:The Institute of Mathematical Sciences, Chennai   Country:India  

  • Quantum modular form and quantum invariant Invited International conference

    Kazuhiro Hikami

    Modular functions and Quadratic forms -- number theoretic delights  2013.12 

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    Event date: 2013.12

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Nakanoshima Center, Osaka University   Country:Japan  

  • Hyperbolic Geometry and Dilogarithm Invited International conference

    Kazuhiro Hikami

    Quantum Dilogarithm, Modular Double, and Representation Theory (Infinite Analysis 13 Autumn School)  2013.11 

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    Event date: 2013.11

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

    Venue:Osaka City University   Country:Japan  

  • Moonshine and N=2/4 Superconformal Algebra Invited International conference

    Kazuhiro Hikami

    Mock Modular Forms, Moonshine, and String Theory  2013.8 

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    Event date: 2013.8

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Simons Center for Geometry and Physics, Stony Brook   Country:United States  

  • Mock Theta Functions and Moonshine Invited International conference

    Kazuhiro Hikami

    Lectures on q-series and Modular Forms  2013.7 

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    Event date: 2013.7

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

    Venue:Korea Institute for Advanced Study   Country:Korea, Republic of  

  • Cluster Algebra and Complex Volume Invited International conference

    Kazuhiro Hikami

    Intelligence of Low-dimensional Topology  2013.5 

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    Event date: 2013.5

    Language:English   Presentation type:Oral presentation (general)  

    Venue:RIMS, Kyoto University   Country:Japan  

  • On the Complex Volume of Knots Invited International conference

    K. Hikami

    Bethe Ansatz, Quantum Groups and Beyond  2013.3 

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    Event date: 2013.3

    Presentation type:Oral presentation (general)  

    Venue:RIMS   Country:Japan  

  • Cluster algebra and complex volume of 2-bridge knots Invited International conference

    K. Hikami

    Facets of Integrability: Random Patterns, Stochastic Processes, Hydrodynamics, Gauge Theories and Condensed Matter Systems  2013.1 

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    Event date: 2013.1

    Presentation type:Oral presentation (general)  

    Venue:Simons Center for Geometry and Physics, Stony Brook   Country:United States  

  • Decomposition of elliptic genera in terms of superconformal characters Invited International conference

    K. Hikami

    Low-Dimensional Topology and Number Theory  2012.8 

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    Event date: 2012.8

    Presentation type:Oral presentation (general)  

    Venue:Mathematisches Forschungsinstitut Oberwolfach   Country:Germany  

  • Superconformal algebras, mock theta functions, and moonshine Invited International conference

    K. Hikami

    Hypergeometric series and their generalizations in algebra, geometry, number theory and physics  2012.5 

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    Event date: 2012.5 - 2012.6

    Presentation type:Oral presentation (general)  

    Venue:Institut Henri Poincare   Country:France  

  • Moonshine from Character Decompositions of Elliptic Genera Invited International conference

    K. Hikami

    Workshop on Modular Forms  2012.5 

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    Event date: 2012.5

    Presentation type:Oral presentation (general)  

    Venue:Kyushu University   Country:Japan  

  • Ramanujan擬テータ函数とMathieu Moonshine Invited

    樋上

    福岡数論  2011.8 

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    Event date: 2011.8

    Presentation type:Oral presentation (general)  

    Venue:九州大学   Country:Japan  

  • Volume Conjecture and Quantum Dilogarithm Function Invited International conference

    K. Hikami

    Integrable Structure and Low Dimensional Geometries (Simons Summer Workshop in Mathematics and Physics 2011)  2011.8 

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    Event date: 2011.7 - 2011.8

    Presentation type:Oral presentation (general)  

    Venue:Simons Center for Geometry and Physics, Stony Brook   Country:United States  

  • Character Decomposition of Elliptic Genus Invited International conference

    K. Hikami

    Workshop on Mathieu Moonshine  2011.7 

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    Event date: 2011.7

    Presentation type:Oral presentation (general)  

    Venue:ETH Zurich   Country:Switzerland  

  • Superconformal Algebras, Mock Theta Functions, and Mathieu Moonshine Invited International conference

    K. Hikami

    Low Dimensional Topology and Number Theory III  2011.3 

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    Event date: 2011.3

    Presentation type:Oral presentation (general)  

    Venue:Nishijin Plaza, Kyushu University   Country:Japan  

  • Mock Theta Functions and Applications to Elliptic Genus Invited

    K. Hikami

    Elliptic Genus of K3 Surfaces and the Mathieu Group M24  2011.2 

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    Event date: 2011.2

    Presentation type:Oral presentation (general)  

    Venue:名古屋大学   Country:Japan  

  • Asymptotics of Quantum Invariants Invited International conference

    K. Hikami

    Low-Dimensional Topology and Number Theory  2010.8 

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    Event date: 2010.8

    Presentation type:Oral presentation (general)  

    Venue:Mathematisches Forschungsinstitut Oberwolfach   Country:Germany  

  • Superconformal Algebras and the Entropy of HyperKahler Manifolds Invited

    K. Hikami

    Prospects in q-series and Modular Forms  2010.7 

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    Event date: 2010.7

    Presentation type:Oral presentation (general)  

    Venue:University College Dublin   Country:Ireland  

  • Cluster Algebra and Complex Volume Invited International conference

    Kazuhiro Hikami

    KIAS Topology Seminar  2013.7 

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

    Venue:Korean Institute for Advanced Study   Country:Korea, Republic of  

  • Mock Modular Form Invited

    樋上 和弘

    名古屋大学 多元数理 談話会  2013.11 

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    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:名古屋大学 多元数理   Country:Japan  

  • Mock theta函数の周辺 Invited

    樋上 和弘

    東北大学 情報科学研究科 談話会  2015.1 

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    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  • Quantum modular forms and quantum invariants Invited

    Kazuhiro Hikami

    2015.12 

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

    Venue:Kyushu University   Country:Japan  

  • Quantum Dilogarithm and Quantum Invariant Invited International conference

    Kazuhiro Hikami

    Quantum Topology Seminar  2016.3 

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

    Venue:Pohang University of Science and Technology   Country:Korea, Republic of  

  • Quantum Modular Form Invited International conference

    Kazuhiro Hikami

    Number Theory Seminar  2016.3 

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

    Venue:Pohang University of Science and Technology   Country:Korea, Republic of  

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MISC

  • モックテータ関数

    樋上 和弘

    数理科学(サイエンス社)   2020.8

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

Professional Memberships

  • 日本物理学会

  • American Mathematical Society

Academic Activities

  • Organizer

    q級数とその周辺  ( Japan ) 2024.3

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    Type:Competition, symposium, etc. 

    Number of participants:31

  • Organizer International contribution

    q-series, quantum modular forms and representation theory  ( Online (http://www.kurims.kyoto-u.ac.jp/~tshun/q2020/) Japan ) 2020.10

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    Type:Competition, symposium, etc. 

    Number of participants:126

  • Organizer International contribution

    Modular Forms and Quantum Knot Invariants  ( Banff International Research Station Canada ) 2018.3

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    Type:Competition, symposium, etc. 

  • Organizer International contribution

    School on Mock Modular Forms and Related Topics  ( Momochi Office Japan ) 2016.11

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    Type:Competition, symposium, etc. 

    Number of participants:48

  • Organizer International contribution

    String, Lattice, and Moonshine  ( Japan ) 2014.12

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    Type:Competition, symposium, etc. 

    Number of participants:40

  • Organizer International contribution

    Quantum Topology and Physics  ( Japan ) 2014.9

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    Type:Competition, symposium, etc. 

  • 世話人

    頂点作用素代数と超弦理論  ( Japan ) 2014.1 - 2014.2

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    Type:Competition, symposium, etc. 

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Research Projects

  • 量子モジュラー形式の深化と展開

    Grant number:22K01117  2024 - 2026

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

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    Authorship:Principal investigator  Grant type:Scientific research funding

  • Quantum Modular Forms and their Applications

    Grant number:23K22388  2022.4 - 2027.3

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

    樋上 和弘, 村上 斉, 藤 博之, 寺嶋 郁二

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    Authorship:Principal investigator  Grant type:Scientific research funding

    結び目や3次元多様体の量子不変量の背景にある幾何学的性質を明らかにしようとする過程において生まれたものが量子モジュラー形式である。2010年頃に提唱された新しい研究対象であり、数学だけでなく超弦理論など物理においてもその重要性が増している。数学・物理のさまざまな手法を取り入れて量子モジュラー形式の数理・幾何構造を確立しその応用研究を目指す。

    CiNii Research

  • 量子モジュラー形式の深化と展開

    Grant number:22H01117  2022 - 2023

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

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    Authorship:Principal investigator  Grant type:Scientific research funding

  • 幾何的漸化式に基づく量子トポロジーと弦の場の量子構造の数理の究明

    Grant number:20K03931  2020 - 2024

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

    藤 博之, 樋上 和弘, 村上 斉, 真鍋 征秀

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    Authorship:Coinvestigator(s)  Grant type:Scientific research funding

    本研究課題では,幾何的漸化式が記述する理論を,行列模型や位相的漸化式,さらに非臨界弦の場の理論の立場から理解を深め,量子トポロジーや結び目の量子不変量などへの新たな応用を探る予定である.
    位相的漸化式は行列模型の解析を超えて,ミラー対称性や超対称ゲージ理論,Kontsevich-Witten理論,体積予想など様々な幾何学や物理学の量子的側面を浮き彫りにし,新たな発展をもたらしてきた.
    この位相的漸化式の発展形として導入された幾何的漸化式もまた新たな幾何学や物理学の背後に潜む量子的側面を明らかにできることが期待され,その中でも弦の場の理論は最も興味深い応用例の一つとなるものと考えている.

    CiNii Research

  • Asymptotic behaviors of quantum invariants of knots and three-manifolds

    Grant number:20K03601  2020 - 2023

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

    村上 斉, 樋上 和弘, 藤 博之

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    Authorship:Coinvestigator(s)  Grant type:Scientific research funding

    結び目や3次元多様体の量子不変量は,作用素環論や理論物理を契機に導入されたものであり,20世紀末から盛んに研究されている.特に,近年体積予想を初めとして,量子不変量の漸近挙動と,位相的な性質を結びつける試みが注目を集めている.
    本研究では,量子不変量の典型的な例である,結び目の色付きJones多項式や,3次元多様体のWitten-Reshetikhin-Turaev不変量の漸近挙動を考察し,それを位相的な観点から調べる.

    CiNii Research

  • 行列模型に基づくファットグラフの分子生物学への応用

    Grant number:17K18781  2017 - 2019

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

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    Authorship:Coinvestigator(s)  Grant type:Scientific research funding

  • 結び目群の表現と量子不変量の漸近挙動

    Grant number:17K05239  2017 - 2019

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

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    Authorship:Coinvestigator(s)  Grant type:Scientific research funding

  • モックモジュラー形式と量子不変量の研究とその応用

    Grant number:16H03927  2016 - 2021

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

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    Authorship:Principal investigator  Grant type:Scientific research funding

  • 多重ゼータの深化と新展開

    Grant number:16H06336  2016 - 2020

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

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    Authorship:Collaborating Investigator(s) (not designated on Grant-in-Aid)  Grant type:Scientific research funding

  • 結び目の量子不変量と基本群の表現

    Grant number:26400079  2014 - 2016

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

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    Authorship:Coinvestigator(s)  Grant type:Scientific research funding

  • 量子二重対数関数の幾何学

    Grant number:24654041  2012 - 2014

    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

  • 数理物理学における量子トポロジーとモジュラー形式の総合的研究

    Grant number:23340115  2011 - 2014

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

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    Authorship:Principal investigator  Grant type:Scientific research funding

  • 体積予想とその一般化

    Grant number:22540069  2010 - 2013

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

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    Authorship:Coinvestigator(s)  Grant type:Scientific research funding

  • 位相的量子計算の研究

    Grant number:21654053  2009 - 2011

    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

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Class subject

  • 微分積分学 II

    2024.10 - 2025.2   Second semester

  • 微分積分学II

    2024.10 - 2025.2   Second semester

  • 数学特論B3

    2024.10 - 2024.11   Fall quarter

  • 微分積分学I

    2024.4 - 2024.9   First semester

  • 微分積分学I (工学)

    2024.4 - 2024.9   First semester

  • 入門 微分積分 II(経済)

    2023.12 - 2024.2   Winter quarter

  • 入門 微分積分 II

    2023.12 - 2024.2   Winter quarter

  • 入門 微分積分 I(経済)

    2023.10 - 2023.12   Fall quarter

  • 入門 微分積分 I

    2023.10 - 2023.12   Fall quarter

  • 入門 線形代数 II

    2023.6 - 2023.8   Summer quarter

  • 表現論大意 / 数学特論

    2023.4 - 2023.9   First semester

  • 入門 線形代数 I

    2023.4 - 2023.6   Spring quarter

  • 入門 微分積分 II

    2022.12 - 2023.2   Winter quarter

  • 入門 微分積分 II(経済)

    2022.12 - 2023.2   Winter quarter

  • 入門 微分積分 I

    2022.10 - 2022.12   Fall quarter

  • 入門 微分積分 I (経済)

    2022.10 - 2022.12   Fall quarter

  • 入門 線形代数 II

    2022.6 - 2022.8   Summer quarter

  • 数学展望 II (1コマ分)

    2022.4 - 2022.9   First semester

  • 表現論大意/数学特論8

    2022.4 - 2022.9   First semester

  • 入門 線形代数 I

    2022.4 - 2022.6   Spring quarter

  • 微分積分学 II

    2021.10 - 2022.3   Second semester

  • 数学特論12 / 複素解析学大意

    2021.4 - 2021.9   First semester

  • 微分積分学 I

    2021.4 - 2021.9   First semester

  • 微分積分学・同演習II

    2020.10 - 2021.3   Second semester

  • 数学特論B2

    2020.10 - 2021.3   Second semester

  • 微分積分学

    2020.10 - 2021.3   Second semester

  • 微分積分学・同演習B

    2020.10 - 2021.3   Second semester

  • 数学特論12/複素解析学大意

    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A

    2020.4 - 2020.9   First semester

  • 数学特論B2

    2019.10 - 2020.3   Second semester

  • 線形代数・同演習B

    2019.10 - 2020.3   Second semester

  • 線形代数学・同演習B

    2019.10 - 2020.3   Second semester

  • 微分積分学・同演習II

    2019.10 - 2020.3   Second semester

  • 微分積分学・同演習I

    2019.4 - 2019.9   First semester

  • 数学演習1A

    2019.4 - 2019.9   First semester

  • 線形代数学・同演習A

    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B

    2018.10 - 2019.3   Second semester

  • 数学特論B2

    2018.10 - 2019.3   Second semester

  • 線型代数学・同演習B

    2018.10 - 2019.3   Second semester

  • 数学基礎 / コアセミナー

    2018.4 - 2018.9   First semester

  • 微分積分学・同演習A

    2018.4 - 2018.9   First semester

  • 線形代数学・同演習A

    2018.4 - 2018.9   First semester

  • 数学演習II

    2018.4 - 2018.9   First semester

  • 数学特論B2

    2017.10 - 2018.3   Second semester

  • 微分積分学・同演習B

    2017.10 - 2018.3   Second semester

  • 線形代数学・同演習B

    2017.10 - 2018.3   Second semester

  • 数学演習II

    2017.4 - 2017.9   First semester

  • 数学基礎I / コアセミナー

    2017.4 - 2017.9   First semester

  • 微分積分学・同演習A

    2017.4 - 2017.9   First semester

  • 線形代数学・同演習A

    2017.4 - 2017.9   First semester

  • 数学特論B2

    2016.10 - 2017.3   Second semester

  • 微分積分学・同演習II

    2016.10 - 2017.3   Second semester

  • 微分積分学

    2016.10 - 2017.3   Second semester

  • 微分積分学・同演習II

    2016.10 - 2017.3   Second semester

  • 微分積分学・同演習I

    2016.4 - 2016.9   First semester

  • 微分積分学・同演習I

    2016.4 - 2016.9   First semester

  • 数学演習II

    2016.4 - 2016.9   First semester

  • 数学特論B2

    2015.10 - 2016.3   Second semester

  • 微分積分学・同演習II

    2015.10 - 2016.3   Second semester

  • 線形代数学・同演習B

    2015.10 - 2016.3   Second semester

  • MMA講究D

    2015.10 - 2016.3   Second semester

  • フーリエ解析と偏微分方程式

    2015.10 - 2016.3   Second semester

  • 位相幾何学基礎・演習

    2015.4 - 2015.9   First semester

  • 微分積分学・同演習I

    2015.4 - 2015.9   First semester

  • 線形代数学・同演習A

    2015.4 - 2015.9   First semester

  • MMA講究D

    2014.10 - 2015.3   Second semester

  • 微分積分学

    2014.10 - 2015.3   Second semester

  • 線形代数学・同演習B

    2014.10 - 2015.3   Second semester

  • 数学IIC

    2014.4 - 2014.9   First semester

  • 微分積分学

    2014.4 - 2014.9   First semester

  • 線形代数学・同演習A

    2014.4 - 2014.9   First semester

  • 微分積分学続論

    2014.4 - 2014.9   First semester

  • 基礎数学演習II

    2013.10 - 2014.3   Second semester

  • 数学IC

    2013.10 - 2014.3   Second semester

  • 基礎数学演習II

    2013.10 - 2014.3   Second semester

  • 数学展望

    2013.4 - 2013.9   First semester

  • 数学特論(数論大意)

    2013.4 - 2013.9   First semester

  • 線形代数

    2013.4 - 2013.9   First semester

  • 微分積分続論

    2013.4 - 2013.9   First semester

  • 基礎数学演習1

    2013.4 - 2013.9   First semester

  • 数学1C

    2012.10 - 2013.3   Second semester

  • 微分積分学

    2012.10 - 2013.3   Second semester

  • 基礎数学演習2

    2012.10 - 2013.3   Second semester

  • 数学IIC

    2012.4 - 2012.9   First semester

  • 微分積分学

    2012.4 - 2012.9   First semester

  • 線形代数

    2012.4 - 2012.9   First semester

  • 数学展望

    2012.4 - 2012.9   First semester

  • 線形代数・同演習B

    2011.10 - 2012.3   Second semester

  • 線形代数

    2011.10 - 2012.3   Second semester

  • 微分積分学

    2011.10 - 2012.3   Second semester

  • 線形代数・同演習A

    2011.4 - 2011.9   First semester

  • 微分積分学

    2011.4 - 2011.9   First semester

  • 微分積分続論

    2011.4 - 2011.9   First semester

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FD Participation

  • 2011.4   Role:Participation   Title:平成23年度第1回全学FD(新任教員研修)

    Organizer:University-wide

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

  • 2021  東北大学 理学研究科  Classification:Intensive course 

    Semester, Day Time or Duration:6月28日〜7月2日

  • 2014  東北大学 情報科学研究科  Classification:Intensive course  Domestic/International Classification:Japan 

    Semester, Day Time or Duration:2015年1月13日~16日

Social Activities

  • モックテータ関数

    2021年新春特別講義「ラマヌジャンと宇宙」 数学協会、東京大学素粒子物理国際研究センター、四日市大学関孝和数学研究所  オンライン(Zoom)  2021.1

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

    Type:Lecture

  • ラマヌジャン:母関数とタクシー数

    九州大学オープンキャンパス  2018.8

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

    Type:Seminar, workshop

  • ラマヌジャンの最後の手紙

    九州大学「現代数学入門」  西新プラザ  2015.7

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

    Type:Lecture

  • 量子計算のはなし

    九州大学オープンキャンパス  2014.8

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

    Type:Seminar, workshop

  • 出張講義

    北筑高等学校  2012.8

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

    Type:Seminar, workshop

  • 出前講義

    西南学院高等学校  2011.11

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

    Type:Seminar, workshop

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Acceptance of Foreign Researchers, etc.

  • University College Dublin

    Acceptance period: 2022.7   (Period):Less than 2 weeks

    Nationality:United States

    Business entity:Japan Society for the Promotion of Science

  • Emory University

    Acceptance period: 2019.11   (Period):Less than 2 weeks

    Nationality:New Zealand

    Business entity:Japan Society for the Promotion of Science

  • University of Hawaii

    Acceptance period: 2016.11  

    Nationality:Canada

    Business entity:Japan Society for the Promotion of Science

  • Trinity College Dublin

    Acceptance period: 2016.11   (Period):Less than 2 weeks

    Nationality:United States

    Business entity:Japan Society for the Promotion of Science

  • University of Hong Kong

    Acceptance period: 2016.11   (Period):Less than 2 weeks

    Nationality:United States

    Business entity:Japan Society for the Promotion of Science

  • Institut de Mathématique de Jussieu

    Acceptance period: 2014.9  

    Nationality:France

    Business entity:Japan Society for the Promotion of Science

  • KdV Institute for Mathematics

    Acceptance period: 2014.9   (Period):Less than 2 weeks

    Nationality:Netherlands

    Business entity:Japan Society for the Promotion of Science

  • RIMS, Kyoto University

    Acceptance period: 2013.8   (Period):Less than 2 weeks

    Nationality:Russian Federation

    Business entity:Japan Society for the Promotion of Science

  • Georgia Institute of Technology

    Acceptance period: 2012.3   (Period):Less than 2 weeks

    Nationality:United States

    Business entity:Japan Society for the Promotion of Science

  • Insitute for Advanced Study

    Acceptance period: 2012.3   (Period):Less than 2 weeks

    Nationality:United States

    Business entity:Japan Society for the Promotion of Science

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Travel Abroad

  • 2019.11

    Staying countory name 1:Germany   Staying institution name 1:DESY

  • 2019.3

    Staying countory name 1:United States   Staying institution name 1:ICERM, Brown University

  • 2019.1

    Staying countory name 1:Austria   Staying institution name 1:Erwin Schrödinger Institute

  • 2018.3

    Staying countory name 1:Canada   Staying institution name 1:Banff International Research Station

  • 2017.12

    Staying countory name 1:Korea, Republic of   Staying institution name 1:National Institute for Mathematical Sciences, Daejeon

  • 2017.8

    Staying countory name 1:Germany   Staying institution name 1:Mathematisches Forschungsinstitut Oberwolfach

  • 2017.6

    Staying countory name 1:Ireland   Staying institution name 1:Hamilton Mathematics Institute, Trinity College Dublin

  • 2016.5

    Staying countory name 1:France   Staying institution name 1:Institut Henri Poincaré

    Staying institution name 2:University Denis Diderot - Paris 7

  • 2016.3

    Staying countory name 1:Korea, Republic of   Staying institution name 1:Pohang University of Science and Technology

  • 2015.5

    Staying countory name 1:France   Staying institution name 1:Centre international de rencontres mathématiques

  • 2015.3

    Staying countory name 1:Germany   Staying institution name 1:Max Planck Institute for Mathematics

  • 2014.8

    Staying countory name 1:Germany   Staying institution name 1:Mathematisches Forschungsinstitut Oberwolfach

  • 2014.4

    Staying countory name 1:India   Staying institution name 1:The Institute of Mathematical Sciences

  • 2013.8 - 2013.9

    Staying countory name 1:United States   Staying institution name 1:Simons Center for Geometry and Physics

  • 2013.7

    Staying countory name 1:Korea, Republic of   Staying institution name 1:Korea Institute for Advanced Study

  • 2013.1

    Staying countory name 1:United States   Staying institution name 1:Simons Center for Geometry and Physics

  • 2012.8 - 2012.9

    Staying countory name 1:Germany   Staying institution name 1:Mathematisches Forschungsinstitut Oberwolfach

  • 2012.5 - 2012.6

    Staying countory name 1:France   Staying institution name 1:Institut Henri Poincare

  • 2011.8

    Staying countory name 1:United States   Staying institution name 1:Simons Center for Geometry and Physics

  • 2011.7

    Staying countory name 1:Switzerland   Staying institution name 1:ETH Zurich

  • 2010.8

    Staying countory name 1:Germany   Staying institution name 1:Mathematisches Forschungsinstitut Oberwolfach

  • 2010.7

    Staying countory name 1:Ireland   Staying institution name 1:University College Dublin

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