In preparation

• The Harris—Venkatesh conjecture for derived Hecke operators IV: real dihedral forms.

Preprints

• Mod ℓ gamma factors and a converse theorem for finite general linear groups, with J. Bakeberg, M. Gerbelli-Gauthier, H. Goodson, A. Iyengar, and G. Moss. arXiv:2307.07593.
• The Harris—Venkatesh conjecture for derived Hecke operators III: local constants. arXiv:2301.00612.
• The Harris—Venkatesh conjecture for derived Hecke operators II: a unified Stark conjecture. arXiv:2305.08956.
• The Harris—Venkatesh conjecture for derived Hecke operators I: imaginary dihedral forms. arXiv:2301.00570.

Articles

• The abcd conjecture, uniform boundedness, and dynamical systems.
  Publications Mathématiques de Besançon, 2024(1): 119–134, 2024. arXiv:2206.09725.
• Modular Gelfand pairs and multiplicity-free representations.
  International Mathematics Research Notices, 2024(7): 5490–5523, 2024. arXiv:2111.04058.
• Grupos ortogonales sobre cuerpos de característica positiva.
  Revista de Matemática: Teoría y Aplicaciones, 29(2): 159–176, 2022. arXiv:2206.09700.
• A Galois–dynamics correspondence for unicritical polynomials.
  Arnold Mathematical Journal, 7(3): 467–481, 2021. arXiv:1610.00807.
• Section rings of ℚ-divisors on minimal rational surfaces, with A. Landesman and R. Ruhm.
  Mathematical Research Letters, 25(4): 1329–1357, 2018. arXiv:1508.05080.
• Spin canonical rings of log stacky curves, with A. Landesman and R. Ruhm.
  Annales de l'Institut Fourier, 66(6): 2339–2383, 2016. arXiv:1507.02643.

Books edited

• Made Here: Recipes & Reflections From NYC's Asian Communities,
  New York: Send Chinatown Love, 2023. 352pp. ISBN 9798218247164.
  2024 James Beard Foundation Book Award (U.S. Foodways) Nominee

Theses

• The Harris—Venkatesh conjecture for derived Hecke operators.
  Ph.D. thesis, Columbia University. 2023. 155 pp.
  Split between two preprints above: papers I and III.
• The Grunwald—Wang theorem and isomorphic radical extensions.
  Honors thesis, Stanford University. 2017. 24 pp.

Notes

• Errata to Automorphic Forms and Representations by Daniel Bump
  An expansion of Daniel Bump's list.
• Bernstein center and Scholze's base change (2019)
  A talk in the Seminar on the Proof of Local Langlands at Columbia.
• L-factors and epsilon-factors (2018)
  A talk in the Seminar on the Proof of Local Langlands at Columbia.
• Weil—Deligne representations I (2018)
  A talk in the Local Langlands Seminar at Columbia.
• Baker—Campbell—Hausdorff formula (2017)
  A presentation in the Lie Groups & Representations course taught by Eric Urban at Columbia.
• Poincaré duality theorem (2016)
  An exposition for a reading course with Bruno Klingler at Université Paris–Diderot.

Software & cryptography

• Fully homomorphic encryption using multivariate polynomials, with M. Tamayo-Rios, J.-C. Faugère, L. Perret, and P. H. How. IACR Cryptology ePrint Archive, 458, 2017.
• Lynda.com / LinkedIn Learning: I worked on ratings & recommendations algorithms (2016).
• Honeycomb Word Search: a C++ program that searches for words in hexagonal honeycomb tessellations of letters (2016).
• Kryptnostic: I worked on open-source fully homomorphic encryption algorithms & searchable encryption algorithms (2015).
• Evil Hangman: a hangman game written in Java that cheats against you as you play (2015).