シュレーディンガー方程式, とくに現在は磁場中のシュレーディンガー方程式をモジュレーション空間上で解く問題を中心に研究しています.
(with Masaki Kawamoto) Asymptotic behavior of solutions to nonlinear Schrödinger equations with time-dependent harmonic potentials, Journal of Evolution Equations 21(1), 699-723, 2020, https://doi.org/10.1007/s00028-020-00597-8.
(with Keiichi Kato) Estimates on modulation spaces for Schrödinger operators with time-dependent sub-linear vector potentials, Hokkaido Mathematical Journal 53(1), 51-69, 2024, https://doi.org/10.14492/hokmj/2022-610.
Estimates on modulation spaces for Schrödinger operators with first order magnetic fields, SUT Journal of Mathematics 57(2), 201-209, 2021, https://doi.org/10.55937/sut/1641859476.