Publications and preprints

The documents here may be slightly different from the published versions.

1. • (with Philipp Habegger) The Relative Manin-Mumford Conjecture, preprint 2023.
   • (with Philipp Habegger) Degeneracy loci in the universal family of abelian varieties, preprint 2023.
   • (with Tangli Ge and Lars Kühne) The Uniform Mordell-Lang Conjecture, preprint 2021.
   • Survey: Recent developments of the Uniform Mordell-Lang Conjecture, preprint 2021.
   • (with Bruno Klingler) The Ax-Schanuel conjecture for variations of mixed Hodge structures, Math. Ann. (2023). doi.org/10.1007/s00208-023-02614-w
   • (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 Vesselin Dimitrov and Philipp Habegger) Uniformity in Mordell-Lang for curves, Annals of Mathematics, vol. 194, p. 237-298, 2021.
   • (with Vesselin Dimitrov and Philipp Habegger) Uniform bound for the number of rational points on a pencil of curves, IMRN, vol. 2021, p. 1138-1159, 2021 (published online in December 2019), doi.org/10.1093/imrn/rnz248.
   • Generic rank of Betti map and unlikely intersections, Compositio Mathematica, vol. 156, p. 2469-2509, 2020. Erratum
   • (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.
   • Mixed Ax-Schanuel for the universal abelian varieties and some applications, Compositio Mathematica, vol. 156, p. 2263-2297, 2020.
   • (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.
   • Appendix to The Betti map associated to a section of an abelian scheme (Yves André, Pietro Corvaja and Umberto Zannier), Inventiones mathematicae, vol. 222, pp. 161-202, 2020.
   • (with Philipp Habegger) Heights in families of abelian varieties and the Geometric Bogomolov Conjecture, Annals of Mathematics, vol. 189, p. 527-604, 2019.
   • Panorama on Ax Type Transcendence Results, Proceedings of The 7th International Congress of Chinese Mathematicians, vol. II, pp. 33-51, 2019, Higher Education Press and International Press Beijing-Boston.
   • Enlarged mixed Shimura varieties, bi-algebraic system and some Ax type transcendental results, Forum of Mathematics, Sigma, vol. 7, 2019, e16, doi.
     - Bi-algebraic system on the universal vectorial extension Oberwolfach report No. 21, 2016.
   • About the mixed André-Oort conjecture: reduction to a lower bound for the pure case, Comptes rendus Mathématiques, vol. 354, p. 659-663, 2016.
   • A special point problem of André-Pink-Zannier in the universal family of abelian varieties, Ann. Sc. Norm. Super. Pisa Cl. Sci., vol. XVII, p. 231-266, 2017.
   • Towards the André-Oort conjecture for mixed Shimura varieties: the Ax-Lindemann theorem and lower bounds for Galois orbits of special points, Journal für die reine und angewandte Mathematik (Crelle), vol. 732, p. 85-146, 2017 (published online in March 2015).

Miscellaneous

• Comparison of Galois orbits of special points of Shimura varieties, 2013.

Dissertations

• HDR (Habilitation à diriger les recherches) defense on June 28, 2021 Distribution of points on varieties: various aspects and interactions. Here are the slides.

• PhD defense on November 24, 2014. Thesis title The mixed Ax-Lindemann theorem and its applications to the Zilber-Pink conjecture. Supervisors: Emmanuel Ullmo and Bas Edixhoven.