I am a number theorist with an interest in group theory. I am interested in rational points on curves, elliptic curves, Galois representations, Belyi maps and arithmetic dynamics. 

Here are my papers/preprints. 

        Submitted/Preprint: 

          10.  Rational isolated j-invariants from X1(pn) and X0(pn) , 2025, with Abbey Bourdon. 

      9. On the Iterated Monodromy Groups of Quadratic Rational functions with periodic critical points, 2024, accepted to Journal of Number Theory.

8. The Monodromy Groups of a Quadratic PCF non-polynomial map,  with Yasemin Kara and Ekin Özman, Manuscripta Mathematica, February 2024.

       7. Isolated Points with rational j-invariant on X_1(p^n),  Research in Number Theory,  January 2022.

       6. Arithmetic Monodromy Groups of dynamical Belyi Maps,  AMS book series Contemporary Mathematics: Proceedings of the 18th Conference on Arithmetic, Geometry, Cryptography, and Coding Theory, 2022.

     5.Dynamical Belyi Maps and Arboreal Galois Groups, with Irene Bouw and Valentijn Karemaker , Manuscripta math. (2020). https://doi.org/10.1007/s00229-020-01204-3

     4.On the Level of Modular Curves that give rise to sporadic points, with Abbey Bourdon, Yuan Liu, Frances Odumodu, and Bianca Viray, Advances in Mathematics, Volume 357, 2019.

    3. Modular Symbols for Fermat Curves, Proceedings of American Mathematical Society, electronically published on March 5, 2019.

    2.Torsion Subgroups of Elliptic Curves over Quadratic Cyclotomic Fields in Maximal Elementary Abelian 2-Extensions, Volume 193, December 2018, Pages 266-301, Journal of Number Theory.

     1. Dynamical Belyi Maps with Jacqueline Anderson, Irene Bouw, Neslihan Girgin, Valentijn Karemaker, Michelle Manes, Women in Numbers Europe 2, Association for Women in Mathematics Series, Springer 2018.