My research interests are in the combinatorial aspects of algebraic geometry and related fields.

research articles/preprints

10) On the weight zero compactly supported cohomology of H_g,n (with Madeline Brandt and Melody Chan) Forum Math. Sigma 12 (2024), no. e67 [code]

9) Equivariant Hodge polynomials of heavy/light moduli spaces (with Stefano Serpente and Claudia Yun) Forum Math. Sigma 12 (2024), no. e34 [code]

8) Moduli of relative stable maps to P^1: cut-and-paste invariants Sel. Math. New Ser. 29 (2023), no. 54 [video, slides]

7) Automorphisms of tropical Hassett spaces (with Sam Freedman and Joseph Hlavinka) Port. Math. 79 (2022), no. 1/2

6) Topology of tropical moduli spaces of weighted stable curves in higher genus (with Shiyue Li, Stefano Serpente, and Claudia Yun) Adv. Geom. 23 (2023), no. 3

5) Symmetries of tropical moduli spaces of curves Trans. Amer. Math. Soc. 374 (2021), no. 8 [slides]

4) Chow rings of heavy/light Hassett spaces via tropical geometry (with Dagan Karp and Shiyue Li) J. Combin. Theory Ser. A 178 (2021), no. 10538

3) Frobenius distributions of elliptic curves in short intervals on average (with Anthony Agwu, Phillip Harris, Kevin James, and Huixi Li) Ramanujan J. 58 (2022)

2) Frobenius distributions in short intervals for CM elliptic curves (with Anthony Agwu, Phillip Harris, Kevin James, and Huixi Li) J. Number Theory 188 (2018)

1) On consecutive primitive nth roots of unity modulo q (with Thomas Brazelton, Joshua Harrington, and Matthew Litman) J. Number Theory 174 (2017)

expository

Here is an informal introduction to blow-ups (warning: confusion of normal and conormal bundle)