2013 - 2015 A new development of studies on stochastic process, statistical distributions and representation theory
2009 - 2013 Mathematics for Non-commutative Harmonic Oscillators and Representation Theory of alpha-determinants
2007 - 2010 Integrals and special functions in representation theory
2006 - 2009 Geometric Harmonic Analysis on Homogeneous Cones and Homogeneous Siegel Domains
2006 - 2008 α行列式と行列変数ゼータ関数の不変式論
2006 - 2007 Zeta functions and multiple sine functions
2004 - 2007 Representation Theory and Duality associated with Non-commutative Special Functions
2003 - 2006 Study of zeta functions and duality - "infinite sum=infinite product" based on the trace formulas viewpoint
2003 - 2004 絶対数論の基礎研究
2001 - 2003 カシミール効果のカシミール元と素元分布による研究
1999 - 2002 Study of dualities - "infinite sum = infinite product" and representations from the trace formulas viewpoint
1999 - 2001 Study of special functions based on representation and invariant theories
1999 - 2000 Comprehensive Study of Real Analysis and Functional Analysis
1997 - 1998 Study of dualities and of "infinite sum=infinite product" identities from the trace formula viewpoint
1996 - 1996 A study on idenities of the form "infinite sum=infinite product" by an evaluation of determinants.
1994 - 1995 Geometric study of linear differential equations in complex variables
1994 - 1994 ホロノミック系からの量子群・可解格子模型・共形場
1994 - 1994 ファノ多様体と超幾何函数の代数幾何的研究
1993 - 1993 量子群対称性に基づく双対性の研究
1993 - 1993 量子群対称性に基づく調和解析とその応用に関する研究
1992 - 1992 リーマン空間の2重微分形式の研究
1991 - 1991 関数解析の超準解析的研究
1990 - 1990 擬リ-マン空間上の大域解析学
微分方程式系のスペクトルの研究
表現論の数論,ゼータ間数論への応用
群対称性に基づく不変式論と解析学
Spectral problems of system of differential equations
Application of representation theory to number theory
Analysis and invariant theory based on group symmetries
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Papers (18)：
Kazufumi Kimoto, Masato Wakayama. Partition functions for non-commutative harmonic oscillators and related divergent series. Indagationes Mathematicae. 2024
Kazufumi Kimoto, Masato Wakayama. Apéry-like numbers for non-commutative harmonic oscillators and automorphic integrals. Annales de l’Institut Henri Poincaré D. 2022
Cid Reyes-Bustos, Masato Wakayama. Heat kernel for the quantum Rabi model: II. Propagators and spectral determinants. Journal of Physics A: Mathematical and Theoretical. 2021. 54. 11
Kazufumi Kimoto, Cid Reyes-Bustos, Masato Wakayama. Determinant Expressions of Constraint Polynomials and the Spectrum of the Asymmetric Quantum Rabi Model. International Mathematics Research Notices. 2020
Cid Reyes-Bustos, Masato Wakayama. Spectral Degeneracies in the Asymmetric Quantum Rabi Model. Mathematical Modelling for Next-Generation Cryptography. 2017. 117-137
2007 - Nice-Step-Researcher Award 2007(by MEXT) * MEXT: Ministry of Education, Culture, Sports, Science and Technology
Association Membership(s) (6)：
THE JAPAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
, Australian Mathematical Society
, American Mathematical Society
, 日本数学会
, American Mathematical Society
, Mathematical Society of Japan
