Atsushi Nakayashiki

Profile Information

Affiliation: Professor, Faculty of Liberal Arts Department of Mathematics, Tsuda College
: (Concurrent)津田塾大学評議員
: Tsuda University

Other name(s) (e.g. nickname): 教授
Researcher number: 10237456
J-GLOBAL ID: 201801015026754394
researchmap Member ID: B000323217

Research Interests

Research Areas

Research History

Apr, 2022 - Present

Tsuda University
Apr, 2011 - Present

Professor, Department of Mathematics, Tsuda university
May, 2016 - May, 2021

Tsuda University
Apr, 2014 - Mar, 2016

Tsuda University
Apr, 2012 - Mar, 2014

Tsuda University

Committee Memberships

Jun, 1991 - Present

会員, 日本数学会
Apr, 2021 - Mar, 2023

Editor of Tokyo Journal of Mathematics, Tokyo Journal of Mathematics
Apr, 2017 - Mar, 2018

理事, Tokyo Journal of Mathematics
Apr, 2016 - Mar, 2017

監事, Tokyo Journal of Mathematics
Apr, 2015 - Mar, 2016

理事, Tokyo Journal of Mathematics
Apr, 2011 - Mar, 2012

編集委員, Tokyo Journal of Mathematics

Papers

Tau functions of (n, 1) curves and soliton solutions on nonzero constant backgrounds

Atsushi Nakayashiki

Letters in Mathematical Physics, 111(3), Jun 28, 2021 Peer-reviewed
One step degeneration of trigonal curves and mixing of solitons and quasi-periodic solutions of the KP equation

Atsushi Nakayashiki

Geometric Methods in Physics XXXVIII, 163-186, Nov, 2020 Peer-reviewedInvitedLead authorLast authorCorresponding author
Sato Grassmannian and degenerate sigma function

Julia Bernatska, Victor Enolski, Atsushi Nakayashiki

Communications in Mathematical Physics, 374 627-660, Feb 19, 2020 Peer-reviewed
On reducible degeneration of hyperelliptic curves and soliton solutions

Atsushi Nakayashiki

Symmetry, Integrability and Geometry: Methods and Applications, 15(009) 1-18, Feb 8, 2019 Peer-reviewed
Degeneration of trigonal curves and solutions of the KP-hierarchy

NAKAYASHIKI ATSUSHI

Nonlinearity, 31 3567-3590, 2018 Peer-reviewed
On the expansion coefficients of KP tau function

Soichi Okada, Atsushi Nakayashiki, Yoko Shigyo

J. Integrable Systems, 2 1-23, 2017 Peer-reviewed
Tau Function Approach to Theta Functions

Atsushi Nakayashiki

INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2016(17) 5202-5248, 2016 Peer-reviewed
Derivatives of schur, tau and sigma functions on abel-jacobi images

Atsushi Nakayashiki, Keijiro Yori

Springer Proceedings in Mathematics and Statistics, 40 429-462, 2013 Peer-reviewed
Discretization of Baker-Akhiezer modules and commuting difference operators in several discrete variables

Andrey Mironov, Atsushi Nakayashiki

Transactions of the Moscow Mathematical Society, 74 261-279, 2013 Peer-reviewed
On Addition Formulae for Sigma Functions of Telescopic Curves

Takanori Ayano, Atsushi Nakayashiki

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 9(046) 1-14, 2013 Peer-reviewed
On hyperelliptic abelian functions of genus 3

Atsushi Nakayashiki

JOURNAL OF GEOMETRY AND PHYSICS, 61(6) 961-985, Jun, 2011 Peer-reviewed
Baker-Akhiezer Modules on the Intersections of Shifted Theta Divisors

Koji Cho, Andrey Mironov, Atsushi Nakayashiki

PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 47(2) 553-567, Jun, 2011 Peer-reviewed
ON ALGEBRAIC EXPRESSIONS OF SIGMA FUNCTIONS FOR (n, s) CURVES

Atsushi Nakayashiki

ASIAN JOURNAL OF MATHEMATICS, 14(2) 175-211, Jun, 2010 Peer-reviewed
Sigma Function as A Tau Function

Atsushi Nakayashiki

INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2010(3) 373-394, 2010 Peer-reviewed
On the Space of KdV Fields

Atsushi Nakayashiki

LETTERS IN MATHEMATICAL PHYSICS, 89(1) 85-100, Jul, 2009 Peer-reviewed
Differential structure of Abelian functions

Koji Cho, Atsushi Nakayashiki

INTERNATIONAL JOURNAL OF MATHEMATICS, 19(2) 145-171, Feb, 2008 Peer-reviewed
Free Field Approach to Solutions of the Quantum Knizhnik-Zamolodchikov Equations

Kazunori Kuroki, Atsushi Nakayashiki

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 4(049) 1-13, 2008 Peer-reviewed
Complete solutions to form factor equations of SU(2) invariant Thirring model

Atsushi Nakayashiki

Proceedings of the 14-th international congress of mathematical physics, 372-378, 2005 Peer-reviewed
The chiral space of local operators in SU(2)-invariant Thirring model

A Nakayashiki

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 245(2) 279-296, Mar, 2004 Peer-reviewed
The space of local fields as a module over the ring of local integrals of motion

A Nakayashiki

INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 52(52) 2797-2822, 2004 Peer-reviewed

Misc.

Crystals and Vertex Models(Algebraic Analysis and Number Theory)

Nakayashiki Atsushi

RIMS Kokyuroku, 810 16-21, Sep, 1992

Presentations

Singular algebraic curves and the vertex operators of the KP hierarchy

Atsushi Nakayashiki
Geometry of vertex operators and solitons on quasi-periodic backgrounds

Atsushi Nakayashiki

Invited
On degeneration of algebro-geometric solutions of the KP equation

Oct 31, 2019
Sato Grassmannian approach to degenerations of tau functions

Atsushi Nakayashiki

XXXVIIIGeometric Methods in Physics, Jun 30, 2019, Institute of Mathematics, University of Bialystock
Tau function approach to degeneration of hyperelliptic sigma function

Atsushi Nakayashiki

BIRS workshop:Tau Functions of Integrable Systems and Their Applications, Sep 2, 2018, Banff International Research Station
Tau function approach to degeneration of hyperelliptic sigma functions

Atsushi Nakayashiki

BIRS workshop "Tau Functions of Integrable Systems and Their Applications, Sep, 2018 Invited
Degeneration of trigonal curves and corresponding solutions of the KP-hierarchy

Atsushi Nakayashiki

Workshop on Calabi-Yau manifolds, arithmetic, geometry and physics, Aug, 2017
Solutions of the KP hierarchy corresponding to degenerate trigonal curves

Atsushi Nakayashiki

Physics and Mathematics of Nonlinear Phenomena, 50 years of I.S.T., Jun 17, 2017, B. Konopelchenko, G. Landolfi, L. Martina, R. Vitolo
Solutions of the KP-hierarchy corresponding to degenerate trigonal curves

Atsushi Nakayashiki

Physics and Mathematics of Nonlinear Phenomena, 50 years of IST, Jun, 2017
特異有理曲線から構成されるKP階層の解について

中屋敷厚

可積分系数理の現状と展望, Sep, 2016 Invited
Singular rational curves and solutions of the KP hierarchy

Atsushi Nakayashiki

Infinite Analysis 16 summer school, Aug, 2016 Invited
On the character formula of the D module associated to KdV hierarchy

Atsushi Nakayashiki

Integrable Systems and Related Topics, Jun 21, 2016, Korea Institute for Advanced Study
On the character formula of the D-module associated to KdV hierarchy

Atsushi Nakayashiki

KIAS workshop on Integrable Systems and Related Topics, Jun, 2016 Invited
Character formulae of some D-modules on hyperelliptic Jacobians

Atsushi Nakayashiki

Geometry Days in Novosibirsk, Aug 26, 2015, Sobolev Institute of Mathematics
On a combinatorial structure of some D-modules on Abelian varieties

Atsushi Nakayashiki

Tsuda College mini-workshop on Calabi-Yau varieties:Arithmetic, Geometry and Physics, Aug 5, 2015
Character formulae of some D-modules on hyperelliptic Jacobians

Atsushi Nakayashiki

Geometry Days in Novosibirsk, Jun, 2015 Invited
On series expansions of higher genus sigma functions

Atsushi Nakayashiki

Curves, Moduli, Integrable Systems, Feb, 2015 Invited
An application of the theory of tau function to Riemann's theta function

Atsushi Nakayashiki

Tsuda-College mini-workshop on Calabi Yau varieties: Arithmetic Geometry and Physics, Aug 7, 2014, Noriko Yui
An application of the theory of tau functions to theta functions

Atsushi Nakayashiki

Tsuda College mini-workshop on Calabi-Yau varieties:Arithmetic, Geometry and Physics, Aug, 2014
リーマンの特異点定理の精密化について

中屋敷厚

リーマン面に関連する位相幾何学, Aug, 2014 Invited

Professional Memberships

THE MATHEMATICAL SOCIETY OF JAPAN

Research Projects

可積分系のタウ関数と代数曲線

科学研究費助成事業, 基盤研究(C), 日本学術振興会, Apr, 2019 - Mar, 2024

中屋敷厚
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

科研費, 日本学術振興会, 2015 - 2018

中屋敷厚
Applied analysis by discrete integrable systems and discrete differential geometry

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, Apr, 2011 - Mar, 2015

KAJIWARA Kenji, INOGUCHI Jun-ichi, NAKAYASHIKI Atsushi, MASUDA Tetsu, OHTA Yasuhiro, MATSUURA Nozomu
Representation theoretical aproach to multi-variate elliptic hypergeometric functions

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2010 - Mar, 2014

KONNO Hitoshi, JIMBO Michio, NOUMI Masatoshi, NAKAYASHIKI Atsushi, OSHIMA Kazuyuki
高種数代数曲線に関連した差分方程式

科研費, 日本学術振興会, 2011 - 2014

中屋敷厚
Fusion of geometry and the theory of integrable systems

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (A), Japan Society for the Promotion of Science, 2007 - 2010

MIYAOKA Reiko, OHNITA Yoshihiro, MOTOKO Kotani, SASAKI Takeshi, IWASAKI Katsunori, OYSU Yukio, KAJIWARA Kenji, NAGATOMO Yasuyuki, NAKAYAAHIKI Atsushi, YAMADA Kotaro, FUTAKI Akito, MARTIN Guest, WAYNE Rossman, SHODA Toshihiro, IRITANI Hiroshi, ISHIKAWA Goo, UMEHARA Masaaki, KAWAKUBO Satoshi, TAMARU Hiroshi, FUJIOKA Atsushi, MATSUURA Nozomu, NISHINOU Takeo
Algebraic Analysis of Infinite Symmetry

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, 2006 - 2009

KASHIWARA Masaki, ARIKI Susumu, KIRILLOV Anatol, MIWA Tetsuji, NAKAJIMA Hiraku, NAITO Satoshi, KANEDA Masaharu, TANISAKI Toshiyuki, NAKASHIMA Toshiki, NAKAYASHIKI Tasushi, SUZUKI Takeshi
Correlation functions and form factors of elliptic integrable systems

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2007 - 2008

QUANO Yas-hiro, SHIRAISHI Un'ichi, HASEGAWA Koji, NAKAYASHIKI Atsushi, SHIRAISHI Jun'ichi, HASEGAWA Koji
Cohomologies and symmetries in integrable systems

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, 2005 - 2008

NAKAYASHIKI Atsushi, CHO Koji, KUWANO Yasuhiro, KONNO Hitoshi, KANEKO Jouichi
Method of Algebraic Analysis in Mathematical Physics (with the emphasis on Representation Theory, Combinatorics and Complex Analysis)

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, 2005 - 2008

MIWA Tetsuji, JIMBO Michio, OKADO Masato, NAKAYASHIKI Atsushi, TAKEYAMA Yoshihiro, IOHARA Kenji, SUZUKI Takeshi, TAKEMURA Kouichi
Functional Analysis of Quantum Systems with Infinite Degree ofFir Freedom

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, 2004 - 2007

MATSUI Taku, TASAKI Shuichi, HIROKAWA Masako, NAKAYASHIKI Atsushi, UEDA Yoshimichi, HIROSHIMA Fumio
Development and relations between various geometries and integrable systems

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (A), Japan Society for the Promotion of Science, 2004 - 2007

MIYAOKA Reiko, YAMADA Kotaro, IWASAKII Katunori, KAJIWARA Kenji, NAKAYASHIKI Atsushi, NAGATOMO Yasuyuki
Analysis of elliptic integrable systems on the basis of CTM bootstrap approach

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2003 - 2005

QUANO Yas-Hiro, NAKAYASHIKI Atsushi
From Stability, Riemann-Roch to Non-Abelian Zeta Functions

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, 2002 - 2005

WENG Lin, SATO Eiichi, KAJIWARA Kenji, NAKAYASHIKI Atsushi, KOBAYASHI Ryoichi
Physical Combinatorics

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (A), Japan Society for the Promotion of Science, 2001 - 2004

MIWA Tetsuji, KASHIWARA Masaki, JIMBO Michio, NAKAYASHIKI Atsushi, OKADO Masato, OOYAMA Yosuke
Study of Low Dimensional Quantum Systems with Infinite Degree of Freedom by Non-Commutative Functional Analysis

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, 2000 - 2003

MATSUI Taku, NAKAYASHIKI Atsushi, WATATANI Yasuo, KOSAKI Hideki
Algebraic analysis of representation theory

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (A)., Japan Society for the Promotion of Science, 1997 - 2000

KASHIWARA Masaki, NISHIYAMA Kyo, GYOJA Akihiko, MIWA Tetsuji, OKADA Soichi, KUROKI Gen
Geomatric structure of Solvable Models

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, 1997 - 1998

CHO Koji, NAKAYASHIKI Atsushi, SATO Eiichi
Mathematics of Symmetry

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (A), Japan Society for the Promotion of Science, 1996 - 1998

MIWA Tetsuji, KONNO Hitoshi, OKADO Masato, HASEGAWA Koji, SHIRAISHI Junichi, KUNIBA Atsuo
Selbery型積分と超幾何関数の研究

科学研究費助成事業, 基盤研究(C), 日本学術振興会, 1996 - 1996

金子譲一, 中屋敷厚

Profile Information

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Papers

Misc.

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