Publications

1. Equations involving the modular j-function and its derivatives
   with Vahagn Aslanyan and Vincenzo Mantova,  J. reine angew Math. (Crelle), vol. 2025, n. 829, 2025, p. 1—36.
   DOI: 10.1515/crelle-2025-0067

2. Likely intersections
   with Thomas Scanlon, Forum of Mathematics, Sigma, vol. 13, 2025, e199.
   DOI: 10.1017/fms.2025.10114 

3. Generic solutions of equations involving the modular j-function
   Math. Ann. 391 (2025), no. 4, 6401—6449.  
   DOI: 10.1007/s00208-024-03082-6

4. Algebraic varieties and automorphic functions
   with Roy Zhao, Int. Math. Res. Not. IMRN 2025, no. 4, Paper No. rnaf029, 13 pp.
   DOI: 10.1093/imrn/rnaf029

5. 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

6. Some equations involving the Gamma function
   with Adele Padgett, Trans. Amer. Math. Soc. 378 (2025), no. 5, 3445—3469.
   DOI: 10.1090/tran/9361

7. 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

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

9. 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

10. 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

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

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

Preprints

• Hensel minimality, p-adic exponentiation and Tate uniformization
  with Floris Vermeulen (2026)

• Bialgebraic varieties of the Gamma function
  with Adele Padgett and Roy Zhao (2025)

• Modular Zilber—Pink for geometrically generic varieties
  with Vahagn Aslanyan and Guy Fowler (2025)

• Categoricity of Shimura Varieties (2018)