My research lies in commutative algebra and its connections with combinatorics, particularly focusing on monomial ideals and their minimal free resolutions and Castelnuovo–Mumford regularities. Additionally, I am exploring variants of the Hirsch conjecture, collaborating with others to establish upper bounds in several cases.
Publications/Preprints
Resolutions of pinched power ideals, In preparation. With Jeffrey Mermin.
On the Hirsch diameter of monomial ideals, In preparation. With Hai Long Dao and Quang Minh Nguyen (an undergraduate student of Michigan State University).
Hailong Dao, Hoài Ðào, and Sreehari Suresh Babu, Combinatorics of Linear Resolutions, In preparation.
Hailong Dao, Hoài Ðào, and Ritika Nair, Ideals with regularity three. In preparation.