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.

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 Papers
 
 1. (with J. Wang)  Analysis of the weighted Laplacian and applications to Ricci solitons, to appear in Comm. Anal. Geom.  (arXiv version)
 
 2. On the gradient estimate of Cheng and Yau, Proc. Amer. Math. Soc. 140 (2012), 1437-1443. (pdf file)

 3. (with J. Wang) Smooth metric measure space with nonnegative curvature, Comm. Anal. Geom. 19 (2011), no. 3, 451-486. (pdf file)

 4. (with M.-T. Wang) The curvature of gradient Ricci solitons, Math. Res. Lett. 18 (2011), no. 6, 1-19. (arXiv version)

 5. (with N. Sesum) On gradient Ricci solitons, to appear in J. Geom. Anal. (arXiv version)

 6. (with G. Szekelyhidi) On convergence of the Kähler-Ricci flow, to appear in Comm. Anal. Geom. (arXiv version)

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

 8. On a characterization of the complex hyperbolic space,  J. Differential Geometry 84 (2010) 611-621. (pdf file)

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

 10. 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.

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  Teaching

  Spring 2012: Partial Differential Equations, Math V3028

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 LINKS:                                                                                             
 AMS MathSciNet
 ArXiv
 Mathematics Genealogy
 Columbia Math 
 UCI Math