Rchr
J-GLOBAL ID：201801015026754394
Update date: Jan. 30, 2024
Nakayashiki Atsushi
ナカヤシキ アツシ | Nakayashiki Atsushi
Affiliation and department：
Job title：
Professor
Other affiliations (2)：
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津田塾大学
津田塾大学評議員
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Tsuda University
Research field (2)：
Basic analysis
, Basic analysis
Research keywords (8)：
KP equation
, quasi-periodic solution
, vertex operator
, theta function
, multi-variate sigma function
, tau function
, Soliton equations
, Integrable System
Research theme for competitive and other funds (29)：
- 2019 - 2024 可積分系のタウ関数と代数曲線
- 2015 - 2018 佐藤グラスマンと多変数シグマ関数によるソリトン理論の新展開
- 2011 - 2015 Applied analysis by discrete integrable systems and discrete differential geometry
- 2010 - 2014 Representation theoretical aproach to multi-variate elliptic hypergeometric functions
- 2011 - 2014 高種数代数曲線に関連した差分方程式
- 2007 - 2010 Fusion of geometry and the theory of integrable systems
- 2006 - 2009 Algebraic Analysis of Infinite Symmetry
- 2007 - 2008 Correlation functions and form factors of elliptic integrable systems
- 2005 - 2008 Cohomologies and symmetries in integrable systems
- 2005 - 2008 Method of Algebraic Analysis in Mathematical Physics (with the emphasis on Representation Theory, Combinatorics and Complex Analysis)
- 2004 - 2007 Functional Analysis of Quantum Systems with Infinite Degree ofFir Freedom
- 2004 - 2007 Development and relations between various geometries and integrable systems
- 2003 - 2005 Analysis of elliptic integrable systems on the basis of CTM bootstrap approach
- 2002 - 2005 From Stability, Riemann-Roch to Non-Abelian Zeta Functions
- 2001 - 2004 Physical Combinatorics
- 2000 - 2003 Study of Low Dimensional Quantum Systems with Infinite Degree of Freedom by Non-Commutative Functional Analysis
- 1997 - 2000 Algebraic analysis of representation theory
- 1997 - 1998 Geomatric structure of Solvable Models
- 1996 - 1998 Mathematics of Symmetry
- 1996 - 1996 Selbery型積分と超幾何関数の研究
- 1996 - 1996 可解格子模型とそこに現れる特殊関数
- 1995 - 1995 統計力学及び場の量子論における可解模型
- 1995 - 1995 統計力学と場の量子論における可解模型
- 1994 - 1994 可解格子模型及び可積分な場の量子論の模型の相関関数
- 1994 - 1994 q-Selberg積分の研究
- 1993 - 1993 線型微分方程式の変形理論とその拡張の研究
- 1992 - 1992 確率場の解析的研究
- 1992 - 1992 テーダ関数とその一般化の満たす微分および関数方程式の研究
- 1991 - 1991 超幾何微方変程式系の微分幾何的・代数的・解析的研究
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Papers (47)：
MISC (1)：
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Nakayashiki Atsushi. Crystals and Vertex Models(Algebraic Analysis and Number Theory). RIMS Kokyuroku. 1992. 810. 16-21
Lectures and oral presentations (40)：
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Singular algebraic curves and the vertex operators of the KP hierarchy
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Geometry of vertex operators and solitons on quasi-periodic backgrounds
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On degeneration of algebro-geometric solutions of the KP equation
(2019)
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Sato Grassmannian approach to degenerations of tau functions
(XXXVIIIGeometric Methods in Physics 2019)
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Tau function approach to degeneration of hyperelliptic sigma function
(BIRS workshop:Tau Functions of Integrable Systems and Their Applications 2018)
ｍore...
Work history (5)：
- 2022/04 - 現在 Tsuda University
- 2011/04 - 現在 Tsuda university Department of Mathematics Professor
- 2016/05 - 2021/05 Tsuda University
- 2014/04/01 - 2016/03/31 Tsuda University
- 2012/04 - 2014/03 Tsuda University
Committee career (6)：
Association Membership(s) (1)：
THE MATHEMATICAL SOCIETY OF JAPAN
