Ongoing
Together with Kiran S. Kedlaya and Jun Bo Lau, we are making an effort to make a census of genus 7 curves over F2. The census of all strata other than the Brill-Noether generic stratum is now completed.
The census of trigonal curves of genus 5 over F3 is complete and available here; census of the generic stratum is ongoing.
Preprints and Publications
A census of genus 6 curves over F2 (w/ Kiran S. Kedlaya and Jun Bo Lau), accepted to LuCaNT 2025, to appear in Contemporary Mathematics. (repo)
Newton strata realization for hypersurfaces via explicit p-adic cohomology (w/ Ryan Batubara, Jack Garzella, and Maximus Mellberg), submitted, draft available upon request.
Research Talks
July 2025: Census of genus 6 curves over F2 (LuCaNT 2025) (20 minutes) slides
April 2025: Census of genus 6 curves over F2 (UCSD Number Theory Seminar)
July 2024: Census of genus 6 curves over F2 (ANTS XVI) Lightning Talk (5 minutes) slides
July 2023: Model-free Chabauty-Coleman integration on modular curves (LuCaNT 2023) Lightning Talk (5 minutes)
Workshops/Conferences Attended
LMFDB, Computation, and Number Theory (LuCaNT) - July 7-11, 2025; ICERM, Providence, RI.
Annual Meeting of the Simons Collaboration on Arithmetic Geometry, Number Theory, and Computation - January 15-16; NYC, NY
ANTS XVI - July 15-19, 2024; MIT, Cambridge, MA.
The Mordell conjecture 100 years later - July 8-12, 2024; MIT, Cambridge, MA.
Hypergeometric Motives in the LMFDB - April 22-26, 2024; MIT, Cambridge, MA.
Modular Curves in the LMFDB III - March 11-15, 2024; MIT, Cambridge, MA.
Arizona Winter School 2024: Abelian Varieties - March 2-6, 2024; University of Arizona, Tucson, AZ.
Shimura Curves in the LMFDB - February 5-9, 2024; Dartmouth College, Hanover, NH.
LMFDB, Computation, and Number Theory (LuCaNT) - July 10-14, 2023; ICERM, Providence, RI.
Arizona Winter Semester 2021 - Spring 2021; online.
Connecticut Summer School in Number Theory (CTNT) - June 8-14, 2020; online.