Email : ziyang.gao AT math.uni-hannover.de
Address : IAZD, Leibniz University Hannover, Welfengarten 1, 30167 Hannover, Germany.
Office : A412
Research Interests
My research interests focus on arithmetic geometry. I work on Shimura varieties (both pure and mixed), abelian varieties, cycles, and diophantine geometry.
Grants
My research is supported by ERC-Starting-Grant n. 945714 UnIntUniBd. Two working groups under this grant: Rational Points and Uniformity (2020-2021, IMJ-PRG, Paris), Adelic line bundles over quasi-projective varieties (2021-2022, Hannover, joint with Basel).
Publications and preprints
The documents here may be slightly different from the published versions.
(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.