Research

Publications

• Sean Gonzales. Strata Hasse Invariants on Proper Abelian Type Shimura Varieties and Applications to Galois Representations. In preparation.
• Sean Gonzales and Theresa Migler. “The Densest k Subgraph Problem in b-Outerplanar Graphs”. In: Complex Networks and Their Applications VIII. Ed. by Hocine Cherifi et al. Cham: Springer International Publishing, 2020, pp. 116–127. isbn: 978-3-030-36687-2.

Write-ups

• Galois Representations Attached to Weight 1 Modular Forms

Selected Talks

• A Few Attempts at Visualizing Shimura Varieties, Integrating Research and Illustration in Number Theory, Institut Henri Poincaré. (March 2026) PDF GitHub
• Generalized Hasse Invariants and Applications to the Langlands Correspondence, Student Number Theory Seminar, UC Berkeley. (September 2025)
• Mazur’s Appendix on the Alexander Polynomial, Arithmetic Topology Seminar, UC Berkeley. (February 2025)
• Stratifications from Filtered F -Crystals, Student Number Theory Seminar, UC Berkeley. (February 2025)
• Galois Representations Attached to Weight 1 Modular Forms, Student Number Theory Seminar, UC Berkeley. (December 2024)
• A Crash Course on Shimura Varieties, Cohomology of Locally Symmetric Spaces Seminar, UC Berkeley. (October 2024)
• The image of inertia argument and applications to the generalized Fermat equation, Student Number Theory Seminar, UC Berkeley. (November 2022)
• Canonical heights on abelian varieties, Number Theory Learning Seminar, UC Berkeley. (January 2022)