Department of Mathematics, Kyoto Sangyo University, Japan, Associate Professor（准教授）

E-mai：ahigashi (atmark) cc.kyoto-su.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 Fano polytopes, dimer models...

- Toric geometry
- toric variety, toric Fano variety, Fano polytope, mutation, normality, toric Mori theory, primitive collection, primitive relation, mirror symmetry for Fano manifolds...

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

and so on...

Current interest :

- Mutation of Fano polytopes
- dimer models
- Characterization or Universal Inequality of δ-vectors
- toric rings arising from graphs

last updated : 5, March, 2019