# Ya DENG's homepage

Contact information

Institut des Hautes Études Scientifiques
UNIVERSITÉ PARIS-SACLAY
Office: 0S4
Telephone: +(33) 01 60 92 66 47
Email: deng@ihes.fr

My current research lies on complex algebraic-analytic geometry, complex hyperbolicity, Hodge theory and the interplay among them. Recently I became interested in arithmetic geometry and o-minimality (e.g. applications to variational Hodge theory and hyperbolicity).

Brief CV

Publication
1. On the hyperbolicity of base spaces for maximal variational families of smooth projective varieties. (with an appendix by Dan Abramovich).  arXiv:1806.01666 To appear in Journal of the European Mathematical Society (JEMS). Abstract
2. Damian Brotbek ),   arXiv:1804.01719.  Geometric And Functional Analysis (GAFA), June 2019, Volume 29, Issue 3, pp 690–750.  link  Abstract
3. On the Diverio-Trapani ConjecturearXiv:1703.07560 . Ann. Scient. Éc. Norm. Sup. 4 e série, t. 53, 2020, p. 787 à 814.  link   Abstract
4. On the positivity of the logarithmic cotangent bundle. (joint work with Damian Brotbek ) arXiv:1712.09887. Annales de l'Institut Fourier, Volume 68 (2018) no. 7, p. 3001-3051 (en l'honneur du professeur Jean-Pierre Demailly). link Abstract
5. Abstract

6. Transcendental morse inequality and generalized Okounkov bodies algebraic geometry. Algebraic Geometry 4 (2) (2017) 177–202. Link Abstract
7. . To appear in Pure and Applied Mathematics Quarterly Abstract

8. Kobayashi measure hyperbolicity for singular directed varieties of general type. Comptes Rendus Mathématique, Volume 354, Issue 9, (2016), Pages 920-924. Link Abstract

Preprints
1. A characterization of complex quasi-projective manifolds uniformized by unit balls. (with an appendix written jointly with Benoît Cadorel). arXiv:2006.16178 Abstract

2. Picard theorems for moduli spaces of polarized varieties. (joint work with S. Lu, R. Sun and K. Zuo) arXiv:1911.02973 Abstract

3. Vanishing theorem for tame harmonic bundles via $$L^2$$-cohomology. (joint work with Feng HAO) arXiv:1912.02586 Abstract

Unpublished preprints
1. Big Picard theorem for moduli spaces of polarized manifolds. arXiv:1912.11442. Part of this preprint has been merged into Preprint 10. Abstract

Thesis
Le corps d'Okounkov généralisé et des problèmes liés à l'hyperbolicité et l'image directe. Hal link.           Defended in 26 June 2017 at Grenoble.

Seminar
With Junyan Cao and Mingchen Xia, we are organizing a complex geometry online seminar (homepage).