• I am interested in the connections between the algebraic properties and algebraic invariants of a graded family of ideals and the combinatorics and geometry properties of a convex body associated to the family.

• I am also interested in the connections between the algebraic properties and algebraic invariants of a p-family of ideals and the combinatorics and geometry properties of its p-body.

Research Interests

1. Limits of length functions of multi-p-families of ideals (with Thanh Thai Nguyen), submitted, preprint at arXiv:2404.17712

Publications & Preprints

Working Projects

1. Newton polyhedra and limitting body of Newton non-degenerated ideals and monomial ideals (with Huy Tai Ha and Thai Thanh Nguyen).

2. Newton non-degenerate binomial ideals in polynomial rings (with Hibi Takayuki).

3. F-volume of a sequence of filtrations of ideals corresponding to a p-family of ideals in a Noetherian local ring of prime characteristic p (with Thai Thanh Nguyen and Souvik Dey).