Research keywords (5)：
rapid decay homology group
, computational algebraic analysis
, (co)homology intersection theory
, GKZ hypergeometric functions
, system of linear partial differential equations
Research theme for competitive and other funds (4)：
2022 - 2026 Global analysis of GKZ systems and new development of intersection theory
2019 - 2022 Studies on integral representations of GKZ hypergeometric functions
2019 - 2022 Studies on integral representations of GKZ hypergeometric functions
2017 - 2019 Gauss-Manin系の代数解析学の深化
Papers (18)：
Saiei-Jaeyeong Matsubara-Heo, Toshio Oshima. Generalized hypergeometric functions with several variables. Indagationes Mathematicae. 2024
Vsevolod Chestnov, Saiei J. Matsubara-Heo, Henrik J. Munch, Nobuki Takayama. Restrictions of Pfaffian systems for Feynman integrals. Journal of High Energy Physics. 2023
Saiei-Jaeyeong Matsubara-Heo, Sebastian Mizera, Simon Telen. Four lectures on Euler integrals. SciPost Physics Lecture Notes. 2023
Saiei-Jaeyeong Matsubara-Heo, Simon Telen. Twisted cohomology and likelihood ideals. 2023
Vsevolod Chestnov, Federico Gasparotto, Manoj K. Mandal, Pierpaolo Mastrolia, Saiei J. Matsubara-Heo, Henrik J. Munch, Nobuki Takayama. Macaulay matrix for Feynman integrals: linear relations and intersection numbers. Journal of High Energy Physics. 2022. 2022. 9
Generalized hypergeometric functions with several variables
Hypergeometric study of Feynman (Euler) integrals
(Positive Geometry in Particle Physics and Cosmology, Max Planck Institute for Mathematics in the Sciences)
Non-rigid and globally analyzable hypergeometric system
代数方程式系と超幾何系
(日本数学会2023年度秋季総合分科会・無限可積分系セッション)
Towards Algebraic Analysis of Hypergeometric Systems
(ICIAM10)
TCLI.jl
Simon Telen, Saiei-Jaeyeong Matsubara-Heo 2024 - 現在
mt_gkz.rr, a Risa/Asir package for computing cohomology intersection numbers of GKZ hypergeometric systems
Saiei-Jaeyeong Matsubara-Heo, Nobuki Takayama 2021 - 現在
Education (3)：
2015 - 2018 The University of Tokyo Graduate School of Mathematical Sciences
2013 - 2015 The University of Tokyo Graduate School of Mathematical Sciences
2011 - 2013 The University of Tokyo Faculty of Science
