Publications
Totally real algebraic integers in short intervals, Jacobi polynomials, and unicritical families in arithmetic dynamics (with Clayton Petsche).
Bulletin of the London Mathematical Society. 56 (2024), 364--379.
This work was featured on Quanta Magazine in part of the topic "Entropy Bagels and Other Complex Structures Emerge From Simple Rule".
Preperiodic points with local rationality conditions in the quadratic unicritical family.
Acta Arithmetica. 212 (2024), 99--113.
On non-Zariski density of (D,S)-integral points in forward orbits and the subspace theorem (with Nathan Grieve).
Journal of Number Theory. 265 (2024), 36--47.
On relative fields of definition for log pairs, Vojta's height inequalities and asymptotic coordinate size dynamics (with Nathan Grieve).
Taiwanese Journal of Mathematics, to appear.
A finiteness result for common zeros of iterates of rational functions (with Xiao Zhong).
International Mathematics Research Notices. 2025 (2025), no. 11, 1--29. pdf(updated June 2025).
Preprints
Totally real algebraic numbers in generalized Mandelbrot set (with Kevin Hare).
Preprint available at ArXiv (comments are welcome!)
A revision version available upon request.
Towards common zeros of iterated morphisms (with Xiao Zhong).
Preprint available at ArXiv (comments are welcome!)
Some unlikely intersection results of polynomial skew products (with Xiao Zhong). In progress.