Research

My research interests include combinatorial commutative algebra, algebraic geometry, and algebraic topology. Currently I am working on affine semigroup rings, especially those arising in the context of toric geometry.

Publications/Preprints

A Generalization of the Ishida Complex with applications
(with Laura Felicia Matusevich, Erika Ordog.)
arXiv:2212.01511
Submitted.

Graded local cohomology of modules over semigroup rings
(with Laura Felicia Matusevich.)
arXiv:2211.10577
Submitted.

Shape-Preserving Dimensionality Reduction: An Algorithm and Measures of Topological Equivalence
(with Kisung You.)
arXiv:2106.02096
Submitted.

Standard pairs for monomial ideals in semigroup rings
(with Laura Felicia Matusevich.)
J. Pure Appl. Algebra, Vol. 122, no. 9, pp.107036, 2022
Published.

Standard pairs of monomial ideals over non-normal affine semigroups in SageMath
J. Softw. Algebra Geom., Vol. 11, no.1, 11-1, pp.129--142, 2021
Published.

Softwares

StdPairs: Library for symbolic computation over a monomial ideal of an affine (non-normal) semigroup with SageMath

TDAkit: Toolkit for Topological Data Analysis with R
(with Kisung You.)