Publications

1. Generic solutions of equations involving the modular j-function
   to appear in Math. Ann. (2022).
   DOI: 10.1007/s00208-024-03082-6

2. Multiplicative relations among differences of singular moduli
   with Vahagn Aslanyan and Guy Fowler, to appear in Ann. Sc. Norm. Super. Pisa Cl. Sci. (2023).
   DOI: 10.2422/2036-2145.202309_020

3. Some equations involving the Gamma function
   with Adele Padgett, to appear in Trans. Amer. Math. Soc. (2024).
   DOI: 10.1090/tran/9361

4. A closure operator respecting the modular j-function
   with Vahagn Aslanyan and Jonathan Kirby, Israel J. Math. 253, (2023), 321—357.
   DOI: 10.1007/s11856-022-2362-y

5. Schanuel type conjectures and disjointness
   with Isaac A. Broudy, Ramanujan J. 62 (2023), 781—795.
   DOI: 10.1007/s11139-023-00707-3

6. On the Geography of Line Arrangements
   with Fernando Figueroa and Giancarlo Urzúa, Advances in Geometry, vol. 22, no. 2 (2022), 269—276.
   DOI: 10.1515/advgeom-2021-0025

7. Differential Existential Closedness of the j-Function
   with Vahagn Aslanyan and Jonathan Kirby, Proc. Amer. Math. Soc. 149 (2021), 1417—1429.
   DOI: 10.1090/proc/15333

8. Solutions of Equations Involving the Modular j Function
   with Sebastián Herrero, Trans. Amer. Math. Soc.  347, (2021), 3971—3998.
   DOI: 10.1090/tran/8244

9. A Schanuel Property for j
   Bull. Lond. Math. Soc. 50 (2018), 293—315.
   DOI: 10.1112/blms.12135

Preprints

• Equations involving the modular j-function and its derivatives
  with Vahagn Aslanyan and Vincenzo Mantova (2023)

• Likely Intersections
  with Thomas Scanlon (2022)

• Algebraic varieties and automorphic functions
  with Roy Zhao (2021)

• Categoricity of Shimura Varieties (2018)