Joan Verdera

Joan Verdera

Joan Verdera

PhD in Mathematics from University of Barcelona

Professor at Universitat Autònoma de Barcelona

Personal webpage



Professor at UAB since 1987.

Visiting professor at University of California at Los Angeles during 1983-1984 and 2001-2002.

I contributed to the understanding of analytic capacity in a series of papers during the nineties and the beginning of 2000. I also worked on the maximal singular integral in connection with existence of principal values. More recently, I became interested in Fluid Dynamics, and I am working presently in the subject using methods from Classical Analysis.


Research Interests

  • Fluid Dynamics
  • Classical Analysis
  • Complex and Harmonic Analysis
  • Potential Theory

Selected publications

  • Boundary Regularity of Rotating Vortex Patches. Arch. Ration. Mech. Anal. (1) 209 (2013), 171–208. T. Hmidi, J. Mateu, J. Verdera
  • Estimates for the maximal singular integral in terms of the singular integral : the case of even kernels. Ann. of Math. (3) 174 (2011), 1429–1483. J. Mateu, J. Orobitg, J. Verdera
  • Extra cancellation of even Calderón-Zygmund operators and Quasiconformal mappings Authors: Journal de Mathématiques Pures et Appliqués, (4) 91 (2009),  402–431. J. Mateu, J. Orobitg, J. Verdera
  • The planar Cantor sets of zero analytic capacity and the local T(b) theorem. Amer. Math. Soc. 16 (2003), 19–28. J. Mateu, X. Tolsa, J. Verdera
  • The Cauchy Integral, Analytic Capacity, and Uniform Rectifiability. Annals of Mathematics, Second Series, (1) 144  (1996),  127-136. P. Mattila, M. S. Melnikov, J. Verdera