Publications

1. Equations involving the modular j-function and its derivatives
   with Vahagn Aslanyan and Vincenzo Mantova (2023), to appear in Journal für die reine und andewandte Mathematik (Crelle).

2. Likely intersections
   with Thomas Scanlon (2022), to appear in Forum of Mathematics, Sigma. 

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

• 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)