Research

Publications and preprints

• A Generalization of the Ishida Complex with applications

  with Laura Felicia Matusevich and Erika Ordog

  arXiv:2212.01511 · Submitted

• Shape-Preserving Dimensionality Reduction: An Algorithm and Measures of Topological Equivalence

  with Kisung You

  arXiv:2106.02096 · Submitted

• Graded local cohomology of modules over semigroup rings

  with Laura Felicia Matusevich

  J. Algebra, Vol. 641, pp. 147–172, 2024 · arXiv:2211.10577 · Published

• 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, pp. 129–142, 2021 · Published

Talks and posters

• When is the multi-graded module over an affine semigroup ring Cohen–Macaulay?PDF

  Poster · with Laura Matusevich

• Monomial ideals in affine semigroup ringsPDF

  Slides, October 24, 2020 · with Laura Matusevich

• Monomial ideals in affine semigroup ringsPDF

  Poster · with Laura Matusevich

Software

• 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