Ovidiu Munteanu


I am a Ritt Assistant Professor in the Department of Mathematics at Columbia University.
My research interest is in differential geometry and partial differential equations.
Here are my contact information and my CV.


 Papers
 

 1. (with N. Sesum) On gradient Ricci solitons, submitted.
(arXiv version)

 2. (with G. Szekelyhidi) On convergence of the 
Kähler-Ricci flow, submitted. (arXiv version)

 3.
(with N. Sesum) The Poisson equation on complete manifolds with positive spectrum and applications, to appear in Adv. Math. 223 (2010), 198-219. (pdf file)

 4. On a characterization of the complex hyperbolic space, to appear in J. Differential Geometry. (arXiv version)

 5. A sharp estimate for the bottom of the spectrum of the Laplacian on Kähler manifolds, J. Differential Geometry 83 (2009), 163-187 (pdf file)

 6. Two results on the weighted Poincaré inequality of complete
Kähler manifolds, Math. Res. Lett. 14 (2007), no.6, 995-1008. (pdf file)

 
  Notes

 1. The volume growth of complete gradient shrinking Ricci solitons.  (arXiv version)

  The title of my thesis is "The Structure of Complete Manifolds with Positive Spectrum", supervised by Professor Peter Li.
   It is available upon request.



  Teaching

 Fall 2009:  Math 1101.002

 Spring 2010:   Linear Algebra



 LINKS:                                                                                             
 AMS MathSciNet
 ArXiv
 Mathematics Genealogy
 Columbia Math 
 UCI Math