Atsushi Nakayashiki

J-GLOBAL         Last updated: Oct 18, 2018 at 16:42
 
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Name
Atsushi Nakayashiki
Affiliation
Tsuda College
Research funding number
10237456

Research Areas

 
 

Academic & Professional Experience

 
Apr 2011
 - 
Today
Professor, Department of Mathematics, Tsuda university
 

Published Papers

 
Degeneration of trigonal curves and solutions of the KP-hierarchy
NAKAYASHIKI ATSUSHI
Nonlinearity   31 3567-3590   2018   [Refereed]
On the expansion coefficients of KP tau function
Soichi Okada, Atsushi Nakayashiki, Yoko Shigyo
J. Integrable Systems   2 1-23   2017   [Refereed]
Atsushi Nakayashiki
IMRN   2016(17) 5202-5248   2016   [Refereed]
Atsushi Nakayashiki
SIGMA   9(046) 1-14   2013   [Refereed]
Andrey Mironov, Atsushi Nakayashiki
Transactions of the Moscow Mathematical Society   74 261-279   2013   [Refereed]
Atsushi Nakayashiki, Keijiro Yori
Springer Proceedings in Mathematics &Statistics   40 429-462   2013   [Refereed]
Koji Cho, Andrey Mironov, Atsushi Nakayashiki
Publ. RIMS   47(2) 553-567   2011   [Refereed]
Atsushi Nakayashiki
61 961-985   2011   [Refereed]
On Algebraic expressions of sigma functions for (n,s) curves
Atsushi Nakayashiki
Asian J. Math   14(2) 175-212   2010   [Refereed]
Atsushi Nakayashiki
IMRN   2010(3) 373-394   2009   [Refereed]
Atsushi Nakayashiki
Lett. Math. Phys.   89 85-100   2009   [Refereed]
Kazunori Kuroki, Atsushi Nakayashiki
SIGMA   4(049) 1-13   2008   [Refereed]
Koji Cho, Atsushi Nakayashiki
Int. J. of Math.   19(2) 145-171   2008   [Refereed]
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   [Refereed]
The space of local fields as a module over the ring of local integrals of motion
Atsushi Nakayashiki
52 2797-2822   2004   [Refereed]
Atsushi Nakayashiki
Comm. Math. Phys.   245 279-296   2004   [Refereed]
Atsushi Nakayashiki
Comm. Math. Phys.   240 197-241   2003   [Refereed]
On form factors of SU(2) invariant Thirring model
Atsushi Nakayashiki, Yoshihiro Takeyama
Progress in Mathematical Physics   23 357-390   2002   [Refereed]
Euler characteristics of theta divisors of Jacobians for spectral curves
Atsushi Nakayashiki, Fedor Smirnov
CRM Proceedings and Lecture Notes   32 239-246   2002   [Refereed]
On the cohomologies of theta divisors of hyperelliptic Jacobians
Atsushi Nakayashiki
Contemporary Math.   309 177-183   2002   [Refereed]
Atsushi Nakayashiki, Fedor Smirnov
Comm. Math. Phys.   217 623-652   2001   [Refereed]
Trace construction of a basis for the solution space of slN qKZ equation
Atsushi Nakayashiki
Comm. Math. Phys.   212 29-61   2000   [Refereed]
On solutions of the KZ and qKZ equations at level zero
Atsushi Nakayashiki,Stanislav Pakuliak, Vitaly Tarasov
Ann. Inst. Henri Poincare   71 459-496   1999   [Refereed]
Integral and theta formulas for the solutions of Tex Knizhnik-Zamolodchikov equation on level 0
Atsushi Nakayashiki
Publ. RIMS   33 987-1015   1997   [Refereed]
Kostka polynomials and energy functions in solvable lattice models
Atsushi Nakayashiki, Yasuhiko Yamada
Selecta Math. New Ser.   3 547-599   1997   [Refereed]
Atsushi Nakayashiki
Publ. RIMS   33 987-1015   1997   [Refereed]
Atsushi Nakayashiki
Comm. Math. Phys.   177 27-62   1996   [Refereed]
On spinon character formulas
Atsushi Nakayashiki, Yasuhiko Yamada
Frontiers in quantum field theory, World Scientific   367-371   1996   [Refereed]
Atsushi Nakayashiki, Yasuhiko Yamada
Comm. Math. Phys.   178 179-200   1996   [Refereed]
Quasi-particle structure in solvable vertex models
Atsushi Nakayashiki
Contemporary Math.   194 219-232   1996   [Refereed]
Atsushi Nakayashiki, Yasuhiko Yamada
Int. J. of Mod. Phys. A   11(2) 395-408   1996   [Refereed]
Atsushi Nakayashiki
Int. J. of Mod. Phys. A   9(32) 5673-5687   1994   [Refereed]
Omar Foda, Michio Jimbo, Kei Miki, Tesuji Miwa, Atsushi Nakayashiki
J. of Math. Phys.   35(1) 13-46   1994   [Refereed]
Commuting partial differential operators and vector bundles over abelian varieties
Atsushi Nakayashiki
Amer. J. Math.   116(1) 65-100   1994   [Refereed]
Brian Davis, Omar Foda, Michio Jimbo, Tetsuji Miwa, Atsushi Nakayashiki
Comm. Math. Phys.   151 89-153   1993   [Refereed]
Michio Jimbo, Tetsuji Miwa, Atsushi Nakayashiki
J. of Phys. A   26 2199-2209   1993   [Refereed]
Michio Jimbo, Kei Miki, Tetsuji Miwa,Atsushi Nakayashiki
Phys. Lett. A   168 256-263   1992   [Refereed]
Perfect crystals of quantum affine Lie algebras
Seok Jing Kang , Masaki Kashiwara, Kailash Misra, Tetsuji Miwa, Toshiki Nakashima, Atsushi Nakayashiki
Duke Math. J   68(3) 499-607   1992   [Refereed]
Vertex mdels and crystals
Seok Jing Kang, Masaki Kashiwara, Kailash Misra, Tetsuji Miwa, Toshiki Nakashima, Atsushi Nakayashiki
Comptes Rendus de l'Acad. des Sciences   315(I-4) 375-380   1992   [Refereed]
Toshikazu Miyazima, Atsushi Nakayashiki,Kanehisa Takasaki
J. of Math. Soc. Japan   43(4) 751-773   1991   [Refereed]
Structure of Baker-Akhiezer modules of principally polarized abelian varieties, commuting partial differential operators and associated integrable systems
Atsushi Nakayashiki
Duke Math. J.   62(2) 315-358   1991   [Refereed]

Conference Activities & Talks

 
Tau function approach to degeneration of hyperelliptic sigma functions [Invited]
Atsushi Nakayashiki
BIRS workshop "Tau Functions of Integrable Systems and Their Applications   Sep 2018   
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 IST   Jun 2017   
Singular rational curves and solutions of the KP hierarchy [Invited]
Atsushi Nakayashiki
Infinite Analysis 16 summer school   Aug 2016   
On the character formula of the D-module associated to KdV hierarchy [Invited]
Atsushi Nakayashiki
KIAS workshop on Integrable Systems and Related Topics   Jun 2016   
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   5 Aug 2015   
Character formulae of some D-modules on hyperelliptic Jacobians [Invited]
Atsushi Nakayashiki
Geometry Days in Novosibirsk   Jun 2015   
On series expansions of higher genus sigma functions [Invited]
Atsushi Nakayashiki
Curves, Moduli, Integrable Systems   Feb 2015   
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   
An application of the theory of tau function to Riemann's theta functions
Atsushi Nakayashiki
Algebraic Curves with Symmetries, Their Jacobians and Integrable Dynamical Systems   Jul 2014   
Riemann surfaces and Schur functions [Invited]
Atsushi Nakayashiki
Geometry Day in Novosibirsk   Aug 2013   
Riemann surfaces and Schur functions [Invited]
Atsushi Nakayashiki
String Theory, Integrable Systems and Representation Theory in honor of A. Tsuchiya's 70th birthday   Jul 2013   
A refined Riemann's singularity theorem for sigma functions [Invited]
Atsushi Nakayashiki
Algebraic Topology and Abelian functions in honor of V. Buchstaber's 70th birthday   Jun 2013   

Association Memberships

 
 

Research Grants & Projects

 
JSPS: KAKENHI
Project Year: 2015 - 2018    Investigator(s): Atsushi Nakayashiki
JSPS: KAKENHI
Project Year: 2011 - 2014    Investigator(s): Atsushi Nakayashiki