Research

Articles

1. Indecomposable Ekedahl-Oort strata of Unitary Shimura varieties
   with Emerald Andrews, Maria Fox, Heidi Goodson, Steven R. Groen, and Sandra Nair
   (in preparation)
2. The Ekedahl-Oort and Newton stratification of the GU(3,2) Shimura variety
   with Emerald Andrews, Maria Fox, Heidi Goodson, Steven R. Groen, and Sandra Nair
    arXiv:2510.01090 
3. Traverso's Isogeny Conjecture for Some Unitary p-Divisible Groups
   with Emerald Andrews, Maria Fox, Heidi Goodson, Steven R. Groen, and Sandra Nair
    arXiv:2507.19708 
4. Ekedahl-Oort strata in the GU(q — 2, 2) Shimura variety
   with Emerald Andrews, Maria Fox, Heidi Goodson, Steven R. Groen, and Sandra Nair
    arXiv:2405.04464 
5. The Brauer Group of 𝒴₀(2)
   with Niven Achenjang, Aashraya Jha, Caleb Ji, and Rose Lopez
    arXiv:2311.18132 
6. Frobenius distributions of low dimensional abelian varieties over finite fields
   with Santiago Arango-Pineros and Soumya Sankar
   International Mathematics Research Notices (2024), no. 16, 11989–12020   DOI 
    arXiv:2306.02237 

Math Education Projects

• Proofs and Proof-writing at UC Santa Cruz (with Jennifer Guerrero)
• Developing Online Courses at UC Santa Cruz (with Sophie Aiken, Malachi Alexander, Cheyenne Dowd, and Pedro Morales-Almazan)
• Redesigning the Calculus for Life Sciences Courses at UC Santa Cruz (with Sophie Aiken, Malachi Alexander, Jennifer Guerrero, Ryan Pugh, David Rubinstein, and Nandini Bhattacharya and Pedro Morales-Almazan)

Theses

• A p-adic Analytic Brauer group
  PhD Thesis, UC Santa Cruz
• Motivic Integrals of Orbifolds
  Master's Thesis, Higher School of Economics