Profile

プロフィール

Affiliation

Professor, Department of Mathematics, Faculty of Science Division I, Tokyo University of Science
Division of Joint Research of Geometry and Natural Science, Research Institute for Science and Technology, Tokyo University of Science

Research Fields

Differential geometry, topology, geometric analysis
Submanifold theory in symmetric spaces; mean curvature flow and inverse mean curvature flow; topology of hypersurfaces via mean curvature flow with surgery

Researcher Profiles

Laboratory Pages (in Japanese)

Research Grants

JSPS KAKENHI

As principal investigator

PeriodCategoryProject
2026–2029Scientific Research (C)Research of submanifolds by using Lie group actions and curvature flows and its applications to theoretical physics
2022–2025Scientific Research (C)Research of submanifolds by using the mean curvature flow and Lie group actions, and its application to theoretical physics
2018–2021Scientific Research (C)Research of submanifolds in symmetric spaces and their time evolution along various curvature flows
2013–2016Scientific Research (C)Research of submanifolds and mean curvature flows in symmetric spaces by using the infinite dimensional geometry and the complexification
2009–2012Scientific Research (C)Research of submanifolds in symmetric spaces by using the infinite dimensional geometry and the complexification
2006–2007Scientific Research (C)Research of submanifolds in a symmetric space by using infinite dimensional geometry

As co-investigator

PeriodCategoryProject
2014–2018Scientific Research (A)Promotion of the study of curves, surfaces and hypersurfaces with singularities from the view point of differential geometryPI: Masaaki Umehara
2013–2017Scientific Research (A)Variational analysis on dynamic geometric problemsPI: Yoshihiro Tonegawa
2012–2014Scientific Research (C)Research on submanifold geometry and harmonic map theory in symmetric spacesPI: Yoshihiro Ohnita
2007–2008Scientific Research (C)A research on functional identities and noncommutative geometry by deformation quantizationPI: Akira Yoshioka
2005–2006Scientific Research (C)Research on noncommutative geometry by deformation quantizationPI: Akira Yoshioka
2005–2009Scientific Research (A)Research on submanifold theory via infinite dimensional methodsPI: Yoshihiro Ohnita
2001–2003Scientific Research (B)Differential geometry of harmonic maps, minimal submanifolds and Yang–Mills–Higgs equationsPI: Yoshihiro Ohnita

Project titles as registered in the KAKEN database.