Research theme for competitive and other funds (22)：
2021 - 2024 対称関数を基軸とした表現論,組合せ論の研究
2020 - 2023 Expansion of the research on alternating sign matrices, plane partitions and tilings in the aspect of distributive lattice
2018 - 2021 Algebraic combinatorics of symmetric functions and its expansion to representation theory and enumerative combinatorics
2016 - 2019 Study of enumeration of plane partitions and tilings, symmetric functions, determinants and Pfaffians
2014 - 2018 A generalization of carries process
2012 - 2017 Study of algebraic combinatorics of plane partitions and alternating sign matrices and related representation theory and theoretical physics
2013 - 2016 Combinatorics of Schubert calculus and its application
2013 - 2016 Study of combinatorics of alternating sign matrices and plane partitions, determinants and Pfaffians
2009 - 2012 Determinants and Pfaffians appearing in enumeration of plane partitions and theoretical physics
2010 - 2012 Lie theory for alternating sign matrices
2007 - 2009 Study of determinants, Pfaffians and q-series appearing in enumeration problems
2006 - 2009 Combinatorics of alternating sign matrix and symmetric functions and their applications to representation theory and integrable system
2005 - 2007 Study of enumeration of plane partitions and associated determinants and Pfaffians with hyper geometric identities
2001 - 2003 Study of character type formula for d-complete posets with the symmetric functions
1997 - 2000 Littlewood type identity and its applications
1997 - 1999 Study of duality and "infinite sum=infinite product" type formula from the aspect of the trace formula
1996 - 1997 Multi-aspect study of G-function
1995 - 1996 Minor summation formula of Pfaffians and applications to the characters of the classical groups
1995 - 1996 Harmonic analysis in symmetric space and its applications
1994 - 1995 Minor summation formula of Pfaffians and applications to the representation theory and combinatorics
1993 - 1994 Harmonic analysis based on quantum symmetry and its applications
1992 - 1993 Study of second differential form in Riemannian space
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Papers (33)：
Masao Ishikawa, Toshiyuki Mano, Teruhisa Tsuda. Determinant Structure for τ -Function of Holonomic Deformation of Linear Differential Equations. Communications in Mathematical Physics. 2018. 363. 3. 1081-1101
Takahiro Hayata, Masao Ishikawa. A binomial-coefficient identity arising from the middle discrete series of SU(2,2). Mathematical Journal of Okayama University. 2018. 60. 221-231
Masao Ishikawa, Jiang Zeng. Selberg integrals and Catalan-Pfaffian Hankel determinants. Proceedings of the 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC'14), (Discrete Math. Theor. Comput. Sci. Proc., AT). 2014. 549-560
Masao Ishikawa, Soichi Okada. Identities for determinants and Pfaffians, and their applications. Sugaku Expositions. 2014. 27. 85-116
Masao Ishikawa. Hankel type hyperpfaffians and the Selberg integrals. The 37th Algebraic Combinatorics Symposium Report. 2022. 1-13
Masao Ishikawa. Hankel type Pfaffians and the associated Jacobi polynomials (Recent advances in combinatorial representation theory). RIMS Kôkyûroku. 2021. 2183
Masao Ishikawa. Several classes of plane partitions with the same generating function (Representation Theory and its Combinatorial Aspects). RIMS Kôkyûroku. 2020. 2161. 73-80
Masao Ishikawa. Generating function on a certain class of plane partitions. RIMS Kôkyûroku. 2019. 2127. 105-115
Certain conjectures on domino plane partitions
(Séminaire de Combinatoire et Théorie des Nombres Institut Camille Jordan Université Claude Bernard Lyon 1, France 2022)
Evaluation of determinants and Pfaffians arising from combinatorial enumeration problems
(Séminaire d’algèbrede de l'Institut Camille Jordan, Université Claude Bernard Lyon 1, France 2022)
Hankel type Pfaffians and the associated Jacobi polynomials
(Symposium on Algebraic Combinatorics 2021)
Hankel type Pfaffians and the associated Jacobi polynomials
(Recent advances in combinatorial representation theory 2020)
Enumeration of alternating sign matrices and plane partitions and Hankel determinants
(JCCA2020-DMIA2020-SGT9 2020)
