Email: ziyang.gao AT math.ucla.edu
Office: MS 6925.
Mailing Address:
UCLA Department of Mathematics,
520 Portola Plaza, Box 951555,
Los Angeles, CA 90095-1555.
Research Interests
My research interests focus on arithmetic geometry. I work on Shimura varieties (both pure and mixed), abelian varieties, cycles, height theory (including the Beilinson-Bloch height), adelic line bundles, and diophantine geometry.
(with Vesselin Dimitrov and Philipp Habegger) A consequence of the relative Bogomolov conjecture, Journal of Number Theory (JNT Prime), vol. 230 (Proceedings of the First JNT Biennial Conference 2019), p. 146-160, 2022.
(with Serge Cantat, Philipp Habegger and Junyi Xie) The Geometric Bogomolov Conjecture, Duke Math. J., vol. 170, p. 247-277, 2021. doi:10.1215/00127094-2020-0044.
(with Rafael von Känel and Lucia Mocz) Faltings Heights and L-functions, in Arithmetic and Geometry: Ten Years in Alpbach edited by Gisbert Wüstholz and Clemens Fuchs, Annals of Mathematics Studies 202, Princeton U. Press.
Panorama on Ax type transcendence results, Proceedings of the 7th International Congress of Chinese Mathematicians, vol. II, p. 33-52, International Press of Boston, 2019.