Research

Here are my preprints and publications:

1. Uniform boundedness of small points on abelian varieties over function fields (joint with Nicole Looper).

2. On the pointwise convergence of the number of abelian varieties over Fp with fixed trace (joint with Ma Zhao Yu, Jeff Achter and Julia Gordon).

3. A quantitative dynamical Zhang fundamental inequality and Bogomolov-type problems (joint with Niki Myrto Mavraki).

4. Lower Bounds for Galois Orbits of Periodic Points for Polarized Endomorphisms (joint with Tien-Cuong Dinh).

5. On the Number of Small Points for Rational Maps.

6. Quantitative Equidistribution of Small Points for Canonical Heights.

7. S-Integral Points in Orbits on P1.

8. Shared Dynamically-Small Points for Polynomials on Average (joint with Yan Sheng Ang), Ergodic Theory and Dynamical Systems. Published online 2025:1-44. doi:10.1017/etds.2025.10213.

9. Uniform Bounds on S-Integral Torsion Points for Gm and Elliptic Curves, International Journal of Number Theory 21, No. 7, 1609-1639 (2025).

10. Nilpotent Orbits of Orthogonal Groups over p-adic fields and the DeBacker Parametrization (joint with Tobias Bernstein, Jia-Jun Ma and Monica Nevins). Algebras and Representation Theory, Vol 23 (2020)