I am interested in height functions on the space of algebraic numbers and equidistribution.
Areal Weil Heights. Preprint available at https://arxiv.org/abs/2512.16007.
I construct and study a family of adelic heights inspired by the areal Mahler measure. For this family of adelic heights I prove an analog of Kronecker's theorem and equidistribution theorems.
I participated in the CSUSB REU during the summer of 2022. Here is the paper that I wrote for it: