Hoang-Chinh Lu

Maître de Conférences

Mathématiques,
Bât. 307 (IMO)
Université Paris-Sud
91405 Orsay Cedex
France


Courrier électronique :
Bureau : 2A12
Téléphone : (+33) 1 69 15 57 37
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Preprints et Publications CV

  1. V. Guedj, C.H. Lu, A. Zeriahi. Pluripotential solutions versus viscosity solutions to complex Monge-Ampère flows. arXiv:1909.07069. Accepted in Pure and Applied Mathematics Quarterly.
  2. C.H. Lu, V.D. Nguyen. Complex Hessian equations with prescribed singularity on compact Kähler manifolds. arXiv:1909.02469.
  3. T. Darvas, E. Di Nezza, C. H. Lu. The metric geometry of singularity types. arXiv:1909.00839.
  4. T. Darvas, C. H. Lu. Geodesic stability, the space of rays, and uniform convexity in Mabuchi geometry. arXiv:1810.04661.
  5. V. Guedj, C.H. Lu, A. Zeriahi. Pluripotential Kähler-Ricci flows, arXiv:1810.02121. Accepted in Geometry & Topology.
  6. V. Guedj, C.H. Lu, A. Zeriahi. The pluripotential Cauchy-Dirichlet problem for complex Monge-Ampère flows, arXiv:1810.02122.
  7. V. Guedj, C.H. Lu, A. Zeriahi. Stability of solutions to complex Monge-Ampère flows. Annales de l'Institut Fourier 2018.
  8. E. Di Nezza, C. H. Lu. Lp metric geometry of big and nef cohomology classes. arXiv:1808.06308. Acta Mathematica Vietnamica.
  9. T. Bayraktar, T. Bloom, N. Levenberg, C. H. Lu. Pluripotential Theory and Convex Bodies: Large Deviation Principle. arXiv:1807.11369. Accepted in Arkiv för Matematik.
  10. T. Darvas, E. Di Nezza, C. H. Lu. Log-concavity of volume and complex Monge-Ampère equations with prescribed singularity. arXiv:1807.00276.
  11. T. Darvas, C. H. Lu, Y. A. Rubinstein. Quantization in geometric pluripotential theory. arXiv:1806.03800. Accepted in Comm. Pure Appl. Math.
  12. T. Darvas, E. Di Nezza, C. H. Lu. L1 metric geometry of big cohomology classes. Annales de l'Institut Fourier 2019.
  13. T. Darvas, E. Di Nezza, C.H. Lu. Monotonicity of non-pluripolar products and complex Monge-Ampère equations with prescribed singularity. Analysis & PDE.
  14. V. Guedj, C.H. Lu, A. Zeriahi. Weak subsolutions to complex Monge-Ampère equation, arXiv:1703.06728. J. Math. Soc. Japan.
  15. V. Guedj, C.H. Lu, A. Zeriahi. Plurisubharmonic envelopes and supersolutions, arXiv:1703.05254. Accepted in Journal of Differential Geometry.
  16. T. Darvas, E. Di Nezza, C.H. Lu. On the singularity type of full mass currents in big cohomology classes. Compos. Math.
  17. R. Berman, C.H. Lu. From the Kähler-Ricci flow to moving free boundaries and shocks. Journal de l'École polytechnique-Mathématiques.
  18. R. Berman, T. Darvas, C.H. Lu. Regularity of weak minimizers of the K-energy and applications to properness and K-stability, arXiv:1602.03114. Accepted in Annales ENS.
  19. R. Berman,T. Darvas, C.H. Lu. Convexity of the extended K-energy and the large time behavior of the weak Calabi flow. Geometry & Topology.
  20. E. Di Nezza, C.H. Lu. Uniqueness and short time regularity of the weak Kähler-Ricci flow. Adv. Math.
  21. S. Dinew, C.H. Lu. Mixed Hessian inequalities and uniqueness in the class $\mathcal{E}(X,\omega,m)$. Math Z.
  22. C.H. Lu, V.D. Nguyen. Degenerate complex Hessian equations on compact Kähler manifolds. Indiana Univ. Math. J.
  23. E. Di Nezza, C.H. Lu. Generalized Monge-Ampère capacities. Int. Math. Res. Not. IMRN
  24. E. Di Nezza, C.H. Lu. Complex Monge-Ampère equations on quasi-projective varieties. J. Reine Angew.
  25. C.H. Lu. A variational approach to complex Hessian equations in $\mathbb{C}^n$, J. Math. Anal. Appl.
  26. C.H. Lu. Viscosity solutions to complex Hessian equations, J. Funct. Anal.
  27. C.H. Lu. Solutions to degenerate complex Hessian equations, J. Math. Pures Appl.



Enseignement depuis 2016

  1. M2 AAG: TD Géométrie analytique complexe
  2. Encadrement M2, TER M1, Projet L3
  3. TD L3MFA: Fonctions holomorphes (Math 308), Algèbre (Math 303)
  4. Modèles dynamiques en biologie (Math 391)
  5. TD L2 Math: Fonctions de plusieurs variables (Math 205), Analyse (Math 201)
  6. TD L1 Math: Analyse (Math 104)




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Département de Mathématiques
, Université Paris-Sud, Bât. 307, F-91405 Orsay Cedex ,France