Research

My research interests include commutative algebra, computational algebra, combinatorics, and graph theory.

Here are my publications.

Publications:

Density of f-Ideals and f-Ideals in Mixed Small Degrees (2020), with Huy Tài Hà, Graham Keiper, and Hasan Mahmood (submitted)

Local Cohomology and Degree Complexes of Monomial Ideals (2019). (on arXiv)

Symbolic Powers of Edge Ideals of Graphs (2020), with Yan Gu (Soochow University, Suzhou), Huy Tài Hà, and Joseph Skelton. (Communications in Algebra, Volume 48, Issue 9.)

Additionally, my Macaulay2 code was cited in:

• The v-number of edge ideals by Delio Jaramillo and Rafael H. Villarreal.
• Symbolic powers of monomial ideals and Cohen-Macaulay vertex-weighted digraphs by Philippe Gimenez, Jose Martínez-Bernal, Aron Simis, Rafael H. Villarreal, and Carlos E. Vivares.