Ya Deng

CNRS Sorbonne Université IMJ-PRG

Information

Chargé de Recherche at CNRS
Sorbonne Université
Labo: Institut de Mathématiques de Jussieu-Paris Rive Gauche
Equipe: Analyse Complexe et Géométrie
Addresse: 4, place Jussieu - Boite Courrier 247, 75252 Paris Cedex 05, France
Bureau: 16-26 510

My research lies in complex algebraic and analytic geometry, with a focus on complex hyperbolicity, non-abelian Hodge theory (in both the Archimedean and non-Archimedean settings), the topology of algebraic varieties, and Nevanlinna theory. I am especially drawn to problems that arise from the interplay among these areas.

My current interests include:

  • Harmonic maps to Euclidean buildings
  • The linear Shafarevich conjecture
  • Algebro-geometric and topological properties of varieties with large or big fundamental groups or local systems, such as their (holomorphic) Euler characteristics
  • Hyperbolicity of algebraic varieties admitting big local systems
  • Deformation invariance of the \(\Gamma\)-dimension (a conjecture of Claudon and Campana)
  • Quasi-projective groups, including the two-step nilpotency problem

Most recently, I completed a paper on the linear Shafarevich conjecture for normal compact Kähler varieties (hal-05838454).

I am a member of the Association for Human Mathematics (AHM).