Research

My research is in commutative algebra, with a focus on its homological aspects. I have a particular interest in studying properties of commutative rings using theories of cohomological support and structures on resolutions. I often work with triangulated categories as they are well-suited to study such data, and it allows me to draw on ideas from a variety of other areas such as homotopy theory and representation theory. I am interested in continuing this research program with an emphasis on understanding ring theoretic properties in terms of cohomological support and triangulated categories, as well as other homological invariants.

Below are preprints submitted for publication:


Below are my published articles

Mathematische Zeitschrift (2023): arXiv version, journal version

Proceedings of the American Mathematical Society (2023): arXiv version, journal version 

Pacific Journal of Mathematics (2022): arXiv version, journal version 

 Below is my PhD thesis: (Advisors: Lucho Avramov and Mark Walker)

Thesis (2019), Digital Commons PDF


Software:

I am a coauthor of the ThickSubcategories package for Macaulay2 with Eloísa Grifo and Janina Letz. (Note: This is still under construction but available for use, click the first link.)