Research Interests
My research interests lie in the intersection of commutative algebra and homological algebra. Recently I've been interested in studying singularities via cohomological support varieties and homotopical tools such as the homotopy lie algebra and André-Quilln homology.
Papers
- 5. Cohomological support varieties for monomial ideals (joint w/ Kara Fagerstrom, Julianne Faur, Benjamin Katz, Kesavan Mohana Sundaram, Stephen Stern)
(preprint, submitted) - 4. Large homomorphisms on the homotopy lie coalgebra (joint w/ Andrew J. Soto Levins)
(preprint, submitted) - 3. Quasi-Gorenstein morphisms of commutative local dg-algebras (joint w/ Zachary Nason, Andrew J. Soto Levins)
(preprint, submitted) - 2. Lifting systems for finite length modules (joint w/ Benjamin Katz, Nawaj KC, Kesavan Mohana Sundaram, Andrew J. Soto Levins)
(preprint, submitted) - 1. Cohomological support varieties under local homomorphisms
(preprint, submitted)