Department of Pure and Applied Mathematics, Osaka University, Japan, Associate Professor（准教授）

E-mai：higashitani (atmark) ist.osaka-u.ac.jp

A main topic of my studies is

Key Words :

- Combinatorics
- Ehrhart polynomial, δ-vector (h*-vector), Cayley decomposition, (regular, unimodular) triangulation, reflexive polytope, mutation of lattice polytopes, dimer models, graph theory...

- Toric geometry
- toric (Fano) variety, Fano polytope, Newton-Okounkov body, mutation, mirror symmetry for Fano manifolds, toric Mori theory, primitive collection, primitive relation...

- Commutative or Computational algebra
- toric ring, toric ideal, Gröbner basis, Cohen-Macaulay, Gorenstein, level, Stanley-Reisner ring, divisorial ideals, F-signatures...

and so on...

Current interest :

- Toric degenerations and mutation
- Combinatorial mutation of lattice polytopes
- Hibi rings and their algebraic properties
- Characterization or Universal Inequality of δ-vectors

last updated : 26, Oct, 2022