I am an Associate Professor in the Department of Mathematics at Niigata University. My research interests include Hamiltonian dynamics in Symplectic Geometry.
Interests
- Morse theory and Floer theory
- Persistence modules
- Topological complexity
Education
Ph.D. in Mathematical Sciences, 2017
The University of Tokyo
Master of Mathematical Sciences, 2014
The University of Tokyo
Bachelor of Science, 2012
Kyushu University
Latest
- Floer-type bipersistence modules and rectangle barcodes
- Relative simplicity of the universal coverings of transformation groups and Tsuboi's metric
- Morse bipersistence modules and rectangle barcodes
- 2-parameter persistence modules and rectangle barcodes
- Topological complexity of monotone symplectic manifolds
- Topological complexity of monotone symplectic manifolds
- Floer-type bipersistence modules and rectangle barcodes
- Topological complexity of monotone symplectic manifolds
- Rigid fibers of integrable systems on cotangent bundles
- Linear Mathematics, Third Edition (Japanese)
- A hierarchy of rigid subsets of symplectic manifolds
- A hierarchy of rigid subsets of symplectic manifolds
- Rigid fibers of integrable systems on cotangent bundles
- Pseudoheavy subsets in symplectic manifolds
- Existence of pseudoheavy fibers of moment maps
- Rigid fibers of spinning tops
- Rigid fibers of spinning tops
- On the existence of infinitely many non-contractible periodic orbits of Hamiltonian diffeomorphisms of closed symplectic manifolds
- Rigid fibers of spinning tops
- Existence of pseudo-heavy fibers of moment maps
- Disjoint superheavy subsets and fragmentation norms
- Existence of pseudo-heavy fibers of moment maps
- The number of fixed points of Hamiltonian diffeomorphisms
- From Morse homology to Floer homology II
- From Morse homology to Floer homology I
- Periodic orbits of Hamiltonian systems and Floer theory II
- Periodic orbits of Hamiltonian systems and Floer theory I
- Application of fragmentation norms to transported points by Hamiltonian isotopies
- Disjoint superheavy subsets and fragmentation norms
- Morse–Bott inequalities for manifolds with boundary
- The number of fixed points of Hamiltonian diffeomorphisms
- Asphericity, Eilenberg–MacLane spaces and periodic orbits in Hamiltonian dynamics
- Asphericity and non-contractible periodic orbits in Hamiltonian dynamics
- Floer theory and non-contractible periodic orbits
- Floer–Novikov theory and non-contractible periodic orbits
- On the existence of infinitely many non-contractible periodic orbits in Hamiltonian dynamics on closed symplectic manifolds
- Floer–Novikov theory and non-contractible periodic trajectories
- Floer–Novikov theory and non-contractible periodic trajectories
- Non-contractible periodic orbits in Hamiltonian dynamics on tori
- Computation of annular capacity by Hamiltonian Floer theory of non-contractible periodic trajectories
- On the existence of infinitely many non-contractible periodic trajectories in Hamiltonian dynamics on closed symplectic manifolds
- On the existence of infinitely many non-contractible periodic trajectories in Hamiltonian dynamics on closed symplectic manifolds
- Non-contractible periodic orbits in Hamiltonian dynamics on tori
- Non-contractible periodic orbits in Hamiltonian dynamics on tori
- Morse theory for manifolds with boundary
- Morse–Bott inequalities for manifolds with boundary
- Morse–Bott inequalities for manifolds with boundary
- Applications of Morse Theory
- Morse homology of Grassmann manifolds