My research focuses on the interaction of arithmetic and analytic aspects on curves, abelian varieties and their moduli spaces.

Keywords and themes are: theta divisor, Faltings height, self-intersection of the relative dualising sheaf, Weierstrass points, admissible pairing, Gross-Schoen cycles, Mahler measure, equidistribution, local heights, Bogomolov conjecture, Arakelov intersection theory, Berkovich spaces.