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. 

Below are preprints submitted for publication:


Below are my published articles

Transactions of the American Mathematical Society (to appear): arXiv version

Michigan Mathematical Journal (to appear): arXiv version

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.)