Akihiro Higashitani （東谷 章弘）
Department of Pure and Applied Mathematics, Osaka University, Japan, Associate Professor（准教授）
Office:
Graduate School of Information Science and Technology
, Building C, C315
E-mai：higashitani (atmark) ist.osaka-u.ac.jp
Research
A main topic of my studies is
Lattice Polytope
. I'm also interested in other related combinatorial objects.
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 of Grassmannians
Combinatorial mutation of lattice polytopes
Hibi rings and their algebraic properties
Characterization of h*-vectors
Equivariant Ehrhart theory
CV
Papers & Publications
Talks & Activities
Lectures(Japanese)
Pictures
Links
last updated : 18, October, 2023