Faculty Profiles - NII SHUNSAKU

Information

写真a

NII SHUNSAKU

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）

Profile

Brief description of the research, teaching and direct contribution to the society: Research:The field of research is dynamical-systemic approach with topological methods to problems in applied analysis. This topological and geometric point of view sheds new light on subjects which usually studied by analytical methods. Teaching:There are two kinds of courses in terms of the objectives. Classes in the first category are tought at the faculty of mathematics in the department of science, and the graduate school of mathematics. Their aim is to provide discipline for experts of mathematics. Those in the second one are tought in the department of engineering in order to offer basic mathematical knowledge and advanced tools for applications in technology. Direct contribution to the society:A lecture in the community courses of the faculty of mathematics in Kyushu University in 2003.

Homepage

http://www2.math.kyushu-u.ac.jp/~snii/index.html

External link

Degree

Doctor of Science

Research History

学術振興会特別研究員DC1994年4月〜1995年3月学術振興会特別研究員PD1995年4月〜1996年3月埼玉大学助手1996年4月〜2002年9月

Research Interests・Research Keywords

Research theme： Studies of topological origins of phase transitions

Keyword： phase transition, topology

Research period： 2013.4 - 2024.6
Research theme： Dynamical systems and Stability problem

Keyword： homo/heteroclinic orbit, traveling wave, eigenvalue problem, topological method

Research period： 1992.4 - 2024.3

Awards

日本数学会建部賢弘賞

1998.9 日本数学会

Papers

Genericity of interactions with potentials being Morse functions Reviewed

Shunsaku Nii

Journal of Geometry and Physics 129 233 - 237 2018.7

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

Potential functions defined on a d-dimensional lattice by nearest neighbor coupling are considered. The question is whether the potential functions are Morse functions. It is shown that for generic nearest neighbor couplings the potential functions are Morse functions for any system size.

DOI： 10.1016/j.geomphys.2018.03.013

Repository Public URL： https://hdl.handle.net/2324/7332347
Computer assisted verification of the eigenvalue problem for one-dimensional Schro ̈dinger operator Reviewed International journal

Ayuki Sekisaka, Shunsaku Nii

Mathematical Challenges to a New Phase of Materials Science 145 - 157 2016.1

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

周期的ポテンシャル項を持つシュレーディンガー作用素に指数減衰する摂動を施したものの固有値問題について、Maslov Index のアイディアを用いて計算機援用証明を行った。
Bifurcations of stationary solutions with triple junctions in phase separation problems --A new view of bifurcation analysis-- Reviewed International journal

Shunsaku Nii

Physica D 2009.6

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Language：English Publishing type：Research paper (scientific journal)
An Infinite-dimensional Evans function theory for Elliptic Boundary Value Problems Reviewed International journal

Jian Deng, Shunsaku Nii

Journal of Differential Equations 2008.2

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Language：English Publishing type：Research paper (scientific journal)
Infinite-dimensional Evans function theory for elliptic eigenvalue problems in a channel Reviewed International journal

Jian Deng, Shunsaku Nii

Journal of Differential Equations 2006.6

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Language：English Publishing type：Research paper (scientific journal)
Computer assisted verification of the eigenvalue problem for one-dimensional Schrödinger operator

Ayuki Sekisaka, Shunsaku Nii

International Conference on Mathematical Challenges in a New Phase of Materials Science, 2014 Mathematical Challenges in a New Phase of Materials Science 145 - 157 2016.1

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Language：English Publishing type：Research paper (other academic)

We propose a rigorous computational method for verifying the isolated eigenvalues of one-dimensional Schrödinger operator containing a periodic potential and a perturbation which decays exponentially at ±∞. We show how the original eigenvalue problem can be reformulated as the problem of finding a connecting orbit in a Lagrangian-Grassmanian. Based on the idea of the Maslov theory for Hamiltonian systems, we set up an integer-valued topological measurement, the rotation number of the orbit in the resulting one-dimensional projective space. Combining the interval arithmetic method for dynamical systems, we demonstrate a computer-assisted proof for the existence of isolated eigenvalues within the first spectral gap.

DOI： 10.1007/978-4-431-56104-0_8
Bifurcations of stationary solutions with triple junctions in phase separation problems - A new view of bifurcation analysis Reviewed

Shunsaku Nii

Physica D: Nonlinear Phenomena 238 ( 13 ) 1050 - 1055 2009.6

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Investigated here are bifurcations of stationary solutions with triple junctions to the curvature-driven motion of curves, which arises in phase separation problems. We demonstrate that, when seen from a new perspective, typical bifurcations under perturbations of domain shape can be analyzed using only elementary geometry.

DOI： 10.1016/j.physd.2009.02.016
$\pi_1$- and $\pi_2$-theories of operators (Problems in the Calculus of Variations and Related Topics)

Shunsaku Nii

RIMS Kokyuroku 1628 58 - 62 2009.2

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An infinite-dimensional Evans function theory for elliptic boundary value problems Reviewed

Jian Deng, Shunsau Nii

Journal of Differential Equations 244 ( 4 ) 753 - 765 2008.2

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An infinite-dimensional Evans function E (λ) and a stability index theorem are developed for the elliptic eigenvalue problem in a bounded domain Ω ⊂ R^m. The number of zero points of the Evans function in a bounded, simply connected complex domain D is shown to be equal to the number of eigenvalues of the corresponding elliptic operator in D. When the domain Ω is star-shaped, an associated unstable bundle E (D) based on D is constructed, and the first Chern number of E (D) also gives the number of eigenvalues of the elliptic operator inside D.

DOI： 10.1016/j.jde.2007.10.037
力学系におけるヘテロクリニック・ループの分岐と、反応拡散系等の方程式における進行波の分岐について Reviewed

Shunsaku Nii

日本数理生物学会ニュースレター 56 5 - 9 2008

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Language：Japanese Publishing type：Research paper (scientific journal)
Infinite-dimensional Evans function theory for elliptic eigenvalue problems in a channel Reviewed

Jian Deng, Shunsaku Nii

Journal of Differential Equations 225 ( 1 ) 57 - 89 2006.6

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An infinite-dimensional Evans function theory is developed for the elliptic eigenvalue problem associated with the stability of travelling solitary waves in a channel. Also, a bundle is constructed over the complex domain, so that its first Chern number gives the number of eigenvalues inside the domain.

DOI： 10.1016/j.jde.2005.09.007
Bifurcations and Stability of Traveling Waves〔和文〕 (非線形拡散系とその周辺研究集会報告集)

Shunsaku Nii

RIMS Kokyuroku 1258 27 - 35 2002.4

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

BIFURCATIONS AND STABILITY OF TRAVELING WAVES (Nonlinear Diffusive Systems and Related Topics)
Homology と Conley Index 入門

新居　俊作

物性研究 2002.1

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Language：Japanese
HomologyとConley Index 入門

Shunsaku Nii

物性研究 78 144 - 158 2002

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Language：Japanese Publishing type：Research paper (scientific journal)
Topological methods in stability analysis of travelling waves Invited Reviewed International journal

S.Nii

Amer. Math. Soc. Transl 2001.1

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Language：English Publishing type：Research paper (scientific journal)
The accumulation of eigenvalues in a stability problem Reviewed

Shunsaku Nii

Physica D: Nonlinear Phenomena 142 ( 1-2 ) 70 - 86 2000.8

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

When two waves propagating in a one-dimensional medium are locked together as a composite wave, a natural question arises as to whether the new wave is stable. An interesting and novel instability mechanism is exposed here in which a cascade of eigenvalues accumulates at a distinguished point in the unstable half plane. The underlying assumption is that the transition between the two waves occurs at an unstable, homogeneous steady state of the partial differential equations. This causes the individual waves to have an unstable continuous spectrum, but the instability of the full wave cannot be predicted from the configuration of these spectra alone.

DOI： 10.1016/S0167-2789(00)00061-0
Pitchfork and Hopf bifurcations of traveling pulses generated by coexisting front and back waves Reviewed International journal

Shunsaku Nii

Methods and Applications of Analysis 2000.1

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Language：English Publishing type：Research paper (scientific journal)
Accumulation of eigenvalues in a stability problem Invited Reviewed International journal

Shunsaku Nii

Physica D 2000.1

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Pitchfork and Hopf bifurcations of traveling pulses generated by coexisting front and back waves Reviewed

Shunsaku Nii

Methods and Applications of Analysis 7 615 - 640 2000

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Language：English Publishing type：Research paper (scientific journal)
A topological approach to stability of pulses bifurcating from an inclination-flip homoclinic orbit Reviewed

Shunsaku Nii

Methods and Applications of Analysis 7 205 - 232 2000

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Language：English Publishing type：Research paper (scientific journal)
A topological proof of stability of N-front solutions of the FitzHugh-Nagumo equations Reviewed International journal

Shunsaku Nii

Jounal of Dynamics and Differential Equations 1999.1

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A topological proof of stability of N-front solutions of the FitzHugh-Nagumo equations Reviewed

Shunsaku Nii

Journal of Dynamics and Differential Equations 11 ( 3 ) 515 - 555 1999.1

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Consideration is devoted to traveling N-front wave solutions of the FitzHugh-Nagumo equations of the bistable type. Especially, stability of the N-front wave is proven. In the proof, the eigenvalue problem for the N-front wave bifurcating from coexisting simple front and back waves is regarded as a bifurcation problem for projectivised eigenvalue equations, and a topological index is employed to detect eigenvalues.

DOI： 10.1023/A:1021965920761
進行波の線型安定性に対する位相的方法 Reviewed

Shunsaku Nii

数学 51 ( 3 ) 241 - 256 1999

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Language：Japanese Publishing type：Research paper (scientific journal)
An extension of the stability index for traveling-wave solutions and its application to bifurcations Reviewed

Shunsaku Nii

SIAM Journal on Mathematical Analysis 28 ( 2 ) 402 - 433 1997.3

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We treat the stability index for traveling-wave solutions of one-dimensional reaction-diffusion equations due to Alexander, Gardner, and Jones [J. Reine Angew. Math., 410(1990), pp. 167-212]. An extension of the stability index which makes the index robust to perturbation is given and, using the extension, an additive formula for a gluing bifurcation of traveling waves is proven. We also consider certain heteroclinic bifurcations as an application, some specific examples of which are discussed.

DOI： 10.1137/S003614109427878X
Stability of travelling multiple-front (multiple-back) wave solutions of the FitzHugh-Nagumo equations Reviewed

Shunsaku Nii

SIAM Journal on Mathematical Analysis 28 1094 - 1112 1997

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進行波に沿った線型化固有値問題へのTOPOLOGICALなアプローチ(函数解析を用いた偏微分方程式の研究)

Shunsaku Nii

RIMS Kokyuroku 969 18 - 28 1996.10

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Language：English Publishing type：Research paper (scientific journal)
N-homoclinic bifurcations for homoclinic orbits changing their twisting Reviewed

Shunsaku Nii

Journal of Dynamics and Differential Equations 8 ( 4 ) 549 - 572 1996.1

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We study bifurcations, called N-homoclinic bifurcations, which produce homoclinic orbits rounding N times (N≥2) in some tubular neighborhood of original homoclinic orbit A family of vector fields undergoes such a bifurcation when it is a perturbation of a vector field with a homoclinic orbit. N-Homoclinic bifurcations are divided into two cases; one is that the linearization at the equilibrium has only real principal eigenvalues, and the other is that it has complex principal eigenvalues. We treat the former case, espcially that linearization has only one unstable eigenvalue. As main tools we use a topological method, namely, Conley index theory, which enables us to treat more degenerate cases than those studied by analytical methods.

DOI： 10.1007/BF02218844

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Presentations

進行波の安定性に対する Stability Index Invited

新居俊作

量子と古典の物理と幾何 2017.11

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Event date： 2018.3

Language：Japanese Presentation type：Oral presentation (general)

Venue：九州大学 Country：Japan
Carathéodory 流熱力学 Invited

新居俊作

QCPG2016 量子と古典の物理と幾何学 2016.5

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Event date： 2018.3

Language：Japanese Presentation type：Oral presentation (general)

Country：Japan
任意のシステムサイズに対しポテンシャルがモース関数になる隣接相互作用の genericity Invited

新居俊作

日本応用数理学科 2012年研究部会連合発表会 2012.3

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Event date： 2012.3

Presentation type：Oral presentation (general)

Venue：九州大学 Country：Japan
三重接合点を持つ定常解の分岐 Invited

新居俊作

屋久島非線形問題若手ワークショップ２～非線形科学と情報通信科学のフロンティア開拓～ 2010.11

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Event date： 2010.11

Presentation type：Oral presentation (general)

Venue：屋久島環境文化研修センター Country：Japan
Infinite dimensional Evans function and Stability Index Invited International conference

Shunsaku Nii

SIAM Conference on nonlinear waves and coherent structures 2010.8

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Event date： 2010.8

Presentation type：Oral presentation (general)

Venue：Sheraton Society Hill Hotel, Philadelphia, Pennsylvania Country：United States
有限次元蔵本モデル

新居俊作

日本数学会年会 2010.3

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Event date： 2010.3

Presentation type：Oral presentation (general)

Venue：慶応大学 Country：Japan
平衡点の局所安定化による超臨界分岐の亜臨界化

新居俊作

日本数学会年会 2010.3

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Event date： 2010.3

Presentation type：Oral presentation (general)

Venue：慶応大学 Country：Japan
Stability of traveling waves - a topological approach Invited International conference

Shunsaku Nii

Recent advancements in the stability of nonlinear waves 1998.5

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Presentation type：Oral presentation (general)

Venue：Little Compton, Rhode Island Country：United States
Accumulation of eigenvalues of linearized operator along unstable pulses Invited International conference

Shunsaku Nii

Dynamics of Nonlinear PDE 1999.9

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Presentation type：Oral presentation (general)

Venue：関西セミナーハウス (京都) Country：Japan
A topological method for stability problem of travelling waves Invited International conference

Shunsaku Nii

SIAM Pacific Rim Dynamical Systems Conference 2000.8

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Presentation type：Oral presentation (general)

Venue：Maui Marriott Resort, Lahaina Maui, Hawaii Country：United States
Pitchfork and Hopf bifurcations of traveling pulses Invited

新居俊作

非線形系における解の空間構造とダイナミクス 2001.1

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Presentation type：Oral presentation (general)

Venue：東京大学 Country：Japan
進行波の Pitchfork 分岐及び Hopf 分岐

新居俊作

日本数学会年会 2001.3

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Presentation type：Oral presentation (general)

Venue：慶應義塾大学 Country：Japan
インクリネーション・フリップホモクリニック軌道から分岐するパルス解の安定性

新居俊作

日本数学会年会 2001.3

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Presentation type：Oral presentation (general)

Venue：慶應義塾大学 Country：Japan
Bifurcations and Stability of Traveling waves Invited International conference

Shunsaku Nii

Workshop on Traveling waves 2001.10

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Presentation type：Oral presentation (general)

Venue：オックスフォード大学セントキャサリンズカレッジ神戸インスティテュート Country：Japan
Bifurcations and Stability of Traveling waves Invited

新居俊作

非線形拡散系とその周辺 2001.10

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Presentation type：Oral presentation (general)

Venue：京都大学数理解析研究所 Country：Japan
Homology と Conley Index 入門 Invited

新居俊作

応用解析チュートリアル・冬の学校 2002.1

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

Venue：京都府立ゼミナールハウス Country：Japan
Evans' function for infinite dimensional systems Invited International conference

Shunsaku Nii

Miniworkshop:Dynamics of nonlinear waves 2003.1

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Presentation type：Oral presentation (general)

Venue：Mathematishes Forschungsinstitut Oberwolfach Country：Germany
進行波の分岐と安定性 Invited

新居俊作

日本数学会年会 2003.3

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Presentation type：Oral presentation (invited, special)

Venue：東京大学 Country：Japan
Infinite-dimensional Evans function theorem Invited International conference

Shunsaku Nii

US-Japan workshop on Dynamics and Computations 2004.3

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Presentation type：Oral presentation (general)

Venue：湘南国際村 Country：Japan
三重接合点を持つ定常解の分岐 Invited

新居俊作

非線形数理・秋の学校 2007.9

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Presentation type：Oral presentation (general)

Venue：中央大学 Country：Japan
三重接合点を持つ定常解の分岐

新居俊作

日本数学会秋期総合分科会 2007.9

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Presentation type：Oral presentation (general)

Venue：東北大学 Country：Japan
Maslov Index の無限次元非自己共役拡張

新居俊作 Jian Deng

日本数学会秋期総合分科会 2007.9

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Presentation type：Oral presentation (general)

Venue：東北大学 Country：Japan
A Theory of Infinite-Dimensional Evans Function and the Associated Bundle International conference

Shunsaku Nii Jian Deng

SIAM Conference on Analysis of Partial Differential Equations 2007.12

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Presentation type：Oral presentation (general)

Venue：Hilton Phoenix East/Mesa, Arizona Country：United States
π1 and π2 theories of operators Invited International conference

Shunsaku NII

変分問題とその周辺 2008.6

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Presentation type：Oral presentation (general)

Venue：京都大学数理解析研究所 Country：Japan
A topological index for eigenvalue problems:a π2-theory of operators. Invited International conference

Shunsaku NII

第33回札幌シンポジウム 2008.8

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Presentation type：Oral presentation (general)

Venue：北海道大学 Country：Japan
A π2-theory of operators. Invited International conference

Shunsaku NII

SNPセミナー 2008.12

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Presentation type：Oral presentation (general)

Venue：関西ゼミナールハウス Country：Japan

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MISC

力学系におけるヘテロクリニック・ループの分岐と、反応拡散系等の方程式における進行波の分岐について

新居俊作

日本数理生物学会ニュースレター 2008.5

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Language：Japanese Publishing type：Article, review, commentary, editorial, etc. (scientific journal)
Homology と Conley Index 入門

新居俊作

物性研究 2002.5

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Language：Japanese Publishing type：Article, review, commentary, editorial, etc. (scientific journal)
進行波の線型安定性に対する位相的方法

新居俊作

数学 1999.1

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

Works

プロジェクターを用いた授業の為の視聴覚教材

新居俊作

2007.4

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プロジェクターを用いた授業の為の視聴覚教材
数学と出会った頃--貴方は誰ですか？--

新居俊作

2000.9

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数学セミナー掲載記事

Professional Memberships

日本数学会
Society for Industrial and Applied Mathematics
アメリカ応用数理学会

Academic Activities

座長（Chairmanship）

冬の力学系研究集会（ Japan ） 2020.1 - 2019.1

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Type：Competition, symposium, etc.

Number of participants：30
座長

力学系研究集会（ Japan ） 2019.6

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Type：Competition, symposium, etc.

Number of participants：100
座長（Chairmanship） International contribution

Workshop on Applied Topology 2019 （ Japan ） 2019.1

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Type：Competition, symposium, etc.

Number of participants：120
座長（Chairmanship）

冬の力学系研究集会（ Japan ） 2019.1

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

Role(s)： Peer review

2019

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Type：Peer review

Proceedings of domestic conference Number of peer-reviewed papers：2
座長（Chairmanship）

冬の力学系研究集会（ Japan ） 2018.1

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Type：Competition, symposium, etc.
世話人

量子と古典の物理と幾何（ Japan ） 2017.11

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Type：Competition, symposium, etc.

Number of participants：24
座長（Chairmanship） International contribution

Forum "Math-math-for-Industry" 2015 （ IMI Auditorium Japan ） 2015.10

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Type：Competition, symposium, etc.
司会（Moderator）

日本数学会秋期総合分科会（ Japan ） 2012.9

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Type：Competition, symposium, etc.
座長（Chairmanship） International contribution

The 4-th Mathematical Society of Japan Seasonal Institute Nonlinear Dynamics in Partial Differential Equations （ Japan ） 2011.9

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Type：Competition, symposium, etc.
Scientific commitee International contribution

The 4-th Mathematical Society of Japan Seasonal Institute Nonlinear Dynamics in Partial Differential Equations （ Japan ） 2011.9

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Type：Competition, symposium, etc.
Scientific committee International contribution

The 4-th Mathematical Society of Japan Seasonal Institute Nonlinear Dynamics in Partial Differential Equations （ Japan ） 2011.9

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Type：Competition, symposium, etc.

Number of participants：180
主催者 International contribution

Workshop on Applied Topology & Dynamical Systems （ Japan ） 2011.9

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Type：Competition, symposium, etc.
主催者 International contribution

Workshop on Applied Topology & Dynamical Systems （ Japan ） 2011.9

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Type：Competition, symposium, etc.

Number of participants：10
座長（Chairmanship） International contribution

応用トポロジー研究集会（ Japan ） 2011.8 - 2011.9

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Type：Competition, symposium, etc.
組織委員 International contribution

Far-From-Equilibrium Dynamics 2011 （ Japan ） 2011.1 - 2014.1

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Type：Competition, symposium, etc.

Number of participants：50
座長（Chairmanship）

応用数学合同研究集会（ Japan ） 2010.12

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Type：Competition, symposium, etc.
座長（Chairmanship）

屋久島非線形問題若手ワークショップ２～非線形科学と情報通信科学のフロンティア開拓～（ Japan ） 2010.11

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Type：Competition, symposium, etc.
研究代表者

力学系研究集会（ Japan ） 2010.9

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Type：Competition, symposium, etc.
研究代表者

力学系研究集会 -- 理論から応用へ、応用から理論へ -- （ Japan ） 2010.9

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Type：Competition, symposium, etc.

Number of participants：83
座長（Chairmanship）

日本数学会秋季総合分科会（ Japan ） 2010.9

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Type：Competition, symposium, etc.
研究代表者

力学系研究集会（ Japan ） 2009.8

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Type：Competition, symposium, etc.
研究代表者 International contribution

力学系研究集会 -- 双曲型力学系から大自由度力学系へ -- （ Japan ） 2009.8

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Type：Competition, symposium, etc.

Number of participants：60
主催者、講師

非線形数理秋の学校「パターン形成の数理とその周辺」 - 反応拡散方程式理論による時・空間パターンの解析を中心に - （ Japan ） 2007.9 - 2009.9

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Type：Competition, symposium, etc.

Number of participants：40
座長（Chairmanship）

非線形数理・秋の学校（ Japan ） 2007.9

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Type：Competition, symposium, etc.

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Research Projects

無限次元力学系における位相的方法の研究

Grant number：19K03567 2019 - 2023

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

新居俊作

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Authorship：Principal investigator Grant type：Scientific research funding

無限次元の微分方程式について力学系の視点から位相幾何学的な手法の研究を行う。
無限次元Maslov Indexの理論を用いて熱方程式のHot Spot予想に関連した解の形状の研究を行う、又、反応拡散方程式等に対し無限次元Stability Indexの理論を用いて分岐問題等の解析を行う。
更に相転移現象の数学的モデルとしての無限格子上で定義された常微分方程式について、そのエネルギー曲面の位相構造の変化を解析することにより相転移現象の位相幾何学的な起源を探る。

CiNii Research
双曲力学系における転送作用素のスペクトルの研究

2016 - 2020

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：Coinvestigator(s) Grant type：Scientific research funding
微分方程式の力学系的研究における幾何学的および位相的方法の研究

Grant number：21540221 2009 - 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：Principal investigator Grant type：Scientific research funding
力学系における関数解析的方法の研究

2006 - 2009

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：Coinvestigator(s) Grant type：Scientific research funding
微分方程式の解の分岐及び安定性の理論における位相的方法の研究

Grant number：14740112 2002 - 2004

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

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Authorship：Principal investigator Grant type：Scientific research funding

Educational Activities

Commitments to education:

My teaching duty consists of four kinds of courses:

1.Lectures and exercise courses for freshmen in the faculty of mathematics:
Teaching foundation of mathematical way of thinking, and attitude and the
methods of study to the students who will study mathematics as an academic.

2.Lectures for seniors and graduate students in the faculty of mathematics:
Introducing advanced topics from specific areas in order to provide
good perspectives of the academic to students who finished standard course
of mathematics.

3.Lectures and exercise courses for freshmen and sophomores in the department
of engineering e.t.c.:
Teaching basic knowledge of mathematics such as calculus and liner algebra
to students who will use mathematics as a tool.

4.Lectures for juniors and seniors in the department of engineering:
Providing mathematical tools used in engineering e.t.c. such as differential
equations, Fourier analysis and so on to students who need theses tools.

Class subject

社会と数理科学

2023.12 - 2024.2 Winter quarter
社会と数理科学

2023.12 - 2024.2 Winter quarter
微分積分続論Ⅱ

2023.10 - 2024.3 Second semester
数理科学特別講義XⅣ

2023.10 - 2024.3 Second semester
微分方程式大意

2023.10 - 2024.3 Second semester
微分積分続論Ⅱ

2023.10 - 2024.3 Second semester
社会と数理科学

2023.6 - 2023.8 Summer quarter
数学Ⅲ

2023.4 - 2023.9 First semester
社会と数理科学

2022.12 - 2023.2 Winter quarter
社会と数理科学

2022.12 - 2023.2 Winter quarter
微分積分続論Ⅱ

2022.10 - 2023.3 Second semester
力学系大意

2022.10 - 2023.3 Second semester
数学特論１３（力学系）

2022.10 - 2023.3 Second semester
Dynamical Systems

2022.10 - 2023.3 Second semester
社会と数理科学

2022.6 - 2022.8 Summer quarter
コアセミナーⅠ

2022.4 - 2022.9 First semester
数学Ⅲ

2022.4 - 2022.9 First semester
社会と数理科学

2021.12 - 2022.2 Winter quarter
社会と数理科学

2021.6 - 2021.8 Summer quarter
コアセミナーⅠ

2021.4 - 2021.9 First semester
数学Ⅲ

2021.4 - 2021.9 First semester
社会と数理科学

2020.12 - 2021.2 Winter quarter
社会と数理科学

2020.6 - 2020.8 Summer quarter
数学Ⅲ

2020.4 - 2020.9 First semester
社会と数理科学

2019.12 - 2020.2 Winter quarter
微分方程式基礎・演習

2019.10 - 2020.3 Second semester
社会と数理科学

2019.6 - 2019.8 Summer quarter
数学Ⅲ

2019.4 - 2019.9 First semester
機能数理学概論Ⅰ

2019.4 - 2019.9 First semester
社会と数理科学

2018.12 - 2019.2 Winter quarter
数理科学特論２

2018.10 - 2019.3 Second semester
数理科学特別講義Ⅱ

2018.10 - 2019.3 Second semester
複素解析

2018.10 - 2019.3 Second semester
数学ⅡＣ

2018.4 - 2018.9 First semester
機能数理学概論Ⅰ

2018.4 - 2018.9 First semester
応用数理解析

2018.4 - 2018.9 First semester
数学III

2018.4 - 2018.9 First semester
社会と数理科学

2018.4 - 2018.6 Spring quarter
社会と数理科学

2017.12 - 2018.2 Winter quarter
線形代数学･同演習B

2017.10 - 2018.3 Second semester
線形代数学･同演習A

2017.4 - 2017.9 First semester
微分方程式基礎・演習

2017.4 - 2017.9 First semester
数学III

2017.4 - 2017.9 First semester
社会と数理科学

2017.4 - 2017.6 Spring quarter
社会と数理科学

2016.10 - 2017.3 Second semester
複素解析

2016.10 - 2017.3 Second semester
社会と数理科学

2016.4 - 2016.9 First semester
応用数理解析

2016.4 - 2016.9 First semester
微分方程式基礎・演習

2016.4 - 2016.9 First semester
数学III

2016.4 - 2016.9 First semester
社会と数理科学

2015.10 - 2016.3 Second semester
社会と数理科学

2015.10 - 2016.3 Second semester
微分積分学

2015.10 - 2016.3 Second semester
線形代数・同演習B

2015.10 - 2016.3 Second semester
社会と数理科学

2015.4 - 2015.9 First semester
社会と数理科学

2015.4 - 2015.9 First semester
数学特論5

2015.4 - 2015.9 First semester
微分方程式大意

2015.4 - 2015.9 First semester
線形代数・同演習A

2015.4 - 2015.9 First semester
数学III

2015.4 - 2015.9 First semester
数学IA

2012.10 - 2013.3 Second semester
理系コア

2012.4 - 2012.9 First semester
数学展望

2012.4 - 2012.9 First semester
微分積分続論

2012.4 - 2012.9 First semester
微分積分学・同演習A

2012.4 - 2012.9 First semester
微分積分学・同演習A

2012.4 - 2012.9 First semester
数学IA

2011.10 - 2012.3 Second semester
線形代数・同演習B

2011.10 - 2012.3 Second semester
微分方程式大意

2011.10 - 2012.3 Second semester
数学特論5

2011.10 - 2012.3 Second semester
微分積分続論

2011.4 - 2011.9 First semester
数学特論13

2011.4 - 2011.9 First semester
力学系大意

2011.4 - 2011.9 First semester
線形代数・同演習A

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

2010.10 - 2011.3 Second semester
数学IA

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

2010.4 - 2010.9 First semester
数学IIC

2010.4 - 2010.9 First semester
数学特論13

2010.4 - 2010.9 First semester
力学系大意

2010.4 - 2010.9 First semester
微分積分学

2010.4 - 2010.9 First semester
微分積分学・同演習B

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

2009.10 - 2010.3 Second semester
線形代数

2009.10 - 2010.3 Second semester
微分積分学・同演習A

2009.4 - 2009.9 First semester
線形代数・同演習A

2009.4 - 2009.9 First semester
微分積分学

2008.4 - 2008.9 First semester
微分積分続論

2008.4 - 2008.9 First semester
数学入門・演習

2007.4 - 2007.9 First semester
微分積分学・同演習A

2007.4 - 2007.9 First semester
微分積分続論

2007.4 - 2007.9 First semester
コアセミナー

2007.4 - 2007.9 First semester
線形代数・同演習B

2006.10 - 2007.3 Second semester
数学IIC

2006.4 - 2006.9 First semester
数学入門・演習

2006.4 - 2006.9 First semester
コアセミナー

2006.4 - 2006.9 First semester
微分積分続論

2006.4 - 2006.9 First semester
線形代数・同演習A

2006.4 - 2006.9 First semester
微分方程式大意

2005.10 - 2006.3 Second semester
数学入門・演習

2005.4 - 2005.9 First semester
微分方程式大意

2004.10 - 2005.3 Second semester
数学持論1,5

2004.10 - 2005.3 Second semester
数学特論18

2003.10 - 2004.3 Second semester
線形代数B

2003.10 - 2004.3 Second semester

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

2011 東京工業大学 Classification:Intensive course Domestic/International Classification:Japan

Semester, Day Time or Duration：後期

Outline of Social Contribution and International Cooperation activities

平成15年度九州大学数理学研究院公開講座における講義

平成25年度 Le Centre de Physique Théorique at Aix-Marseille Université 客員研究員

令和3年度九州大学オープンキャンパスにおける講義動画
令和４年度九州大学オープンキャンパスにおける講義動画

Social Activities

令和４年度九州大学オープンキャンパスにおける講義動画

九州大学 2022.8

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

Type：Seminar, workshop
令和3年度九州大学オープンキャンパスにおける講義動画

九州大学 2021.8

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

Type：Seminar, workshop
音楽の数学--ドレミファソラシドはどの様に決まっているか。

九州大学オープンキャンパス 2017.8

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

Type：Seminar, workshop
現代数学入門

熊本県立済々黌高校 2016.11

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

Type：Seminar, workshop

Travel Abroad

2019.7

Staying countory name 1：Netherlands Staying institution name 1：Leiden University
2013.8

Staying countory name 1：Czech Republic Staying institution name 1：Charles University in Prague
2013.7

Staying countory name 1：Italy Staying institution name 1：l'Universita' di Camerino
2013.7

Staying countory name 1：Italy Staying institution name 1：Osservatorio Astrofisico di Arcetri
2013.5

Staying countory name 1：United States Staying institution name 1：Snowbird Ski and Summer Resort Snowbird, UT 84092-9000
2013.4 - 2014.4

Staying countory name 1：France Staying institution name 1：Centre de Physiaue Theorique
2013.4

Staying countory name 1：Italy Staying institution name 1：ISI Foundation
2012.2

Staying countory name 1：France Staying institution name 1：Centre de Physiaue Theorique
2011.11

Staying countory name 1：United States Staying institution name 1：Brown University
2011.5

Staying countory name 1：United States Staying institution name 1：Snowbird Ski and Summer Resort Snowbird, UT 84092-9000
2010.8

Staying countory name 1：United States Staying institution name 1：Sheraton Society Hill Hotel,Philadelphia
2009.9

Staying countory name 1：Philippines Staying institution name 1：Ateneo de Manila University
2009.5

Staying countory name 1：United States Staying institution name 1：Snowbird Ski and Summer Resort Snowbird, UT 84092-9000

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