Research

Work is roughly in reverse chronological order

Preprints and submitted work:
(with Anand Deopurkar and Anand Patel) A Universal Formula For Counting Cubic Surfaces  (arXiv, 53 pages)
(with Anand Patel and Eric Riedl) Moduli of linear slices of high degree hypersurfaces (arXiv, 22 pages)

Published work:
(with Andrew Berget, Christopher Eur, and Hunter Spink) Tautological classes of matroids (arXiv, 71 pages) (Inventiones Mathematicae, to appear)
(with Andrew Berget and Hunter Spink) Log-concavity of matroid h-vectors and mixed Eulerian numbers (arXiv, 37 pages) (Duke Math Journal, to appear)
(with Mitchell Lee and Anand Patel) Equivariant Degenerations of Plane Curve Orbits (arXiv, 51 pages) (Transactions of the American Math Society, to appear)
Divisors on the moduli space of curves from divisorial conditions on hypersurfaces (arXiv, 15 pages) (Experimental Mathematics, to appear)
(with Hunter Spink) PGL2-equivariant strata of point configurations in P1 (arXiv, 39 pages) (Annali della Scuola Normale Superiore di Pisa, to appear)
(with Joseph Knight and Ashvin Swaminathan) On the A1-Degree of a Weyl Cover (arXiv, 13 pages) (Journal of Algebra, to appear)
(with Mitchell Lee, Anand Patel, and Hunter Spink) Orbits in (Pr)n and equivariant quantum cohomology (arXiv, 59 pages) (Advances in Math, 2020)
Complete families of immersed curves (arXiv, 13 pages) (Math Research Letters, 2020)
On degenerate sections of vector bundles (arXiv, 18 pages) (Mathematische Zeitschrift, 2020)
Collections of hypersurfaces containing a curve (arXiv, 37 pages) (IMRN, 2020)
A note on rational curves on general Fano hypersurfaces (arXiv, 18 pages) (Michigan Math Journal, 2019)
(with Victor Reiner) Critical groups of covering, voltage, and signed graphs (arXiv, 33 pages) (Discrete Mathematics, 2014)
(with Eric Chen) The Splitting Subspace Conjecture (arXiv, 12 pages) (Finite Fields and Their Applications, 2013)
Generalized Nonaveraging Integer Sequences (arXiv, 25 pages) (Integers, 2012)

Other work:
(with Borys Kadets, Padmavathi Srinivasan, Ashvin Swaminathan, and Libby Taylor) Enriched local indices for non-rational sections, an appendix to an article by Padmavathi Srinivasan and Kirsten Wickelgren (2 pages) (Transactions of the AMS, to appear)
On the slope of the moduli space of genus 15 and 16 curves (arXiv, 3 pages) (2019)
A note on r hypersurfaces intersecting in Pr (arXiv, 6 pages)
(with Hunter Spink) Incidence strata of affine varieties with complex multiplicities (arXiv, 27 pages)

Talks

Boston College, Moduli Across the Pandemic (September 2020) (video)
Harvard-MIT Algebraic Geometry Seminar (March 2020)
UNC Chapel Hill, Geometric Methods in Representation Theory Seminar (February 2020)
The Ohio State University, Algebraic Geometry Seminar (April 2019)
University of Cincinnati (January 2018)
Florida State University (December 2017)

Short CV