Papers and Preprints:
2025
• 4-rank of class groups of quad. extensions over global function fields, co-authored with Jordan Ellenberg, Sun Woo Park and Alexander Slamen. (In prepration.)
• Prismatic cohomology of Z_p. (In prepration.)
• Density of algebraic points on products of curves, co-authored with Jen Berg, Evangelia (Valia) Gazaki, Morena Porzio, James Rawson, and Isabel Vogt. (arXiv: 2507.00860, submitted)
• Towards the p-adic nowhere density conjecture of Hecke Orbits. (arXiv: 2506.06932, submitted)
2024
• Non-simple abelian varieties in a family: arithmetic approaches. (arXiv: 2412.11048, submitted)
• Algebraic Independence of Special Points on Shimura Varieties, co-authored with Roy Zhao (arXiv: 2405.14084, submitted )
• Generalized Kloosterman sheaves for symplectic groups, co-authored with Miao (Pam) Gu . (arXiv: 2407.19700, submitted)
• Generalized Eckardt points on del Pezzo surfaces of degree 1, co-authored with Julie Desjardins, Kelly Isham, and Rosa Winter (arXiv: 2401.08800, accepted for publication in Research Directions in Number Theory - Women in Numbers 6)
2023
• Isogenous elliptic curves in a family ordered by height. (arXiv: 2308.11122, Math. Ann.)
• Isogeny classes of non-simple abelian surfaces over finite fields. (arXiv: 2308.11132, submitted)
• Classification of Hilbert modular varieties over finite fields, co-authored with Tejasi Bhatnagar. (arXiv: 2308.11105, to appear, JNT)
• Geometry and Arithmetic in the Moduli of Pairs of Elliptic Curves. (Ph.D. thesis.)