Research

My research is in mixed characteristic commutative algebra, with a combinatorial flavor. In particular, I am developing the theory of “p-monomials,” an original framework for defining and studying concrete examples of mixed characteristic rings.

Current results:

• Content and Q-sequences in Mixed Characteristic Local Rings (Journal of Algebra).

• Adaptation of Hochster's formula for Betti numbers of p-Stanley-Reisner rings (IV.4 of my thesis)

Coming soon:

• Adaptations of Hochster's formula for local cohomology and Terai's theorem for Serre conditions of p-Stanley-Reisner rings