SaieiJaeyeong MATSUBARAHEO 
SaieiJaeyeong MATSUBARAHEO
Department of Mathematics,
Graduate School of Science, Kobe University 
Division : Applied Mathematics
Assistant Professor 
Building B, Room 309

Research Field :
Systems of linear partial differential (difference) equations in the complex domain, hypergeometric functions in several variables


Research Summary :
I study the theory of hypergeometric functions in several variables in the complex domain from the viewpoint of the theory of partial differential (difference) equations. Recently, I focus on GelfandKapranovZelevinsky system and study its monodromy representation, connection problem, and asymptotic analysis. I also introduce and study a combinatorial structure on the intersection theory of a rapid decay (co)homology group with local system coefficients associated to an integral representation of GKZ system.


Primary Publications : 

S.J. MatsubaraHeo, N. Takayama,
An algorithm of computing cohomology intersection number of hypergeometric integrals,
arXiv:1904.01253.

S.J. MatsubaraHeo,
Euler and Laplace integral representations of GKZ hypergeometric functions,
arXiv:1904.0056.

S.J. MatsubaraHeo, On MellinBarnes integral representations for GKZ hypergeometric functions,
Kyushu Journal of Mathematics, 74 (2020), 109125.

S.J. MatsubaraHeo, Residue current approach to EhrenpreisMalgrange type theorem for linear differential equations with constant coefficients and commensurate time lags,
Advances in Mathematics, 331 (2018), 170208.


