My research is in the area of arithmetic geometry, which lies in the intersection of number theory and algebraic geometry. More specifically, I am interested in elliptic and hyperelliptic curves (those are curves defined by an equation of the form y^2 = f(x) where f is a polynomial function) over local and global fields, the Jacobian varieties and Galois actions attached to them, their semistable models, and how they may be uniformized when over local fields. Lately I've been dipping my toes in superelliptic curves as well (where y^2 can be replaced by y to any power). My particular angle of focus in recent years has been on describing these things directly from looking at the distances between the roots of the polynomial defining the (hyper/super)elliptic curve, where "distances" are defined in the p-adic sense with respect to a prime of the ground field; this is known as the cluster data of the branch locus.