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)