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

Here are my papers/preprints. 

        Submitted/Preprint: 

12. Arboreal Galois Groups of a PCF Map with Strictly Pre-periodic Critical Points, 2026, with  Zofia Gołaska, Yasemin Kara, Leonie Nienhaus, Özge Ülkem.

 11. Settled Elements in Arboreal Galois Groups of Quadratic PCF Polynomials,  2026, with  Dilber Kocak Benli.


  10.  Rational isolated j-invariants from X1(pn) and X0(pn) , Research in Number Theory, 2025,

 with Abbey Bourdon. 

   9. Galois theory of quadratic rational functions with periodic critical points, Journal of Number Theory, August 2024.

 8. The Monodromy Groups of a Quadratic PCF non-polynomial map,  Manuscripta Mathematica, February 2024.

with Yasemin Kara and Ekin Özman.

   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,  Manuscripta math. (2020),

with Irene Bouw and Valentijn Karemaker ,.

     4.On the Level of Modular Curves that give rise to sporadic points, Advances in Mathematics, Volume 357, 2019.

with Abbey Bourdon, Yuan Liu, Frances Odumodu, and Bianca Viray.

    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 , Women in Numbers Europe 2, Association for Women in Mathematics Series, Springer 2018.

with Jacqueline Anderson, Irene Bouw, Neslihan Girgin, Valentijn Karemaker, Michelle Manes.