My research interests fall primarily within commutative algebra and algebraic geometry, with connections to combinatorics. In particular, I'm interested in homological properties and invariants of nonstandard graded and multigraded rings and modules. Recently, I've been thinking about the multigraded regularity of some combinatorial algebraic varieties.
Multigraded Regularity of the Complete Flag Variety
The Koszul Property for Truncations of Nonstandard Graded Polynomial Rings (with Boyana Martinova)
Rational Normal Curves in Weighted Projective Space (with Aleksandra Sobieska), Bulletin of the London Mathematical Society (2025)
Geodesic Interpolation on Sierpinski Gaskets (with Laura LeGare, Cory McCartan, and Luke Rogers), Journal of Fractal Geometry (2021)
Regularity in Algebra, Combinatorics, and Geometry Workshop, BIRS, April 20-24, 2026
AMS Spring Eastern Sectional Meeting, Boston College, March 28-29, 2026
JMM 2026 in Washington D.C., January 4-7, 2026
AZ-NM Symposium on Commutative Algebra and its Interactions at NMSU, December 8-12, 2025
Homological mirror symmetry and multigraded commutative algebra workshop at AIM, August 18-22, 2025
Minisymposium on (Multi)graded Structures: Castelnuovo-Mumford Regularity and Applications, SIAM AG25 at UW-Madison, July 7-11, 2025
Macaulay2 Workshop: Madison 2025 at UW-Madison, June 30-July 4, 2025