Arithmetic Geometry

We focus on weighted heights and arithmetic of the moduli space of algebraic curves.  Here are some of the preprints

• Deep learning and Vojta's conjecture on weighted varieties (in progress)

• Vojta's conjecture on weighted projective varieties and an application on greatest common divisors 

• Local and global heights on weighted projective varieties, Houston J. Math. (2024)

• Weighted greatest common divisors and weighted heights, J. Number Theory  213  319--346  (2020)

• Computing heights on weighted projective spaces, Cont. Math. 724  149--160  (2019)