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 my published articles (listed by journal publication date)

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

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


Below are preprints submitted for publication:


Below is interesting work in progress:

 Below is my PhD thesis:

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.)

Utah Research Group:
  1. 2022 Group (see also selfie)
  2. 2019 Group (see also selfie)