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Diego Cordoba

Professor
Mathematics
Complutense University of Madrid
Spain

Biography

"Diego Córdoba is a Professor at the Instituto de Ciencias Matemáticas (ICMat-CSIC) and the Scientific Director of the Severo Ochoa program 2016-2019. He obtained his PhD in Mathematics from Princeton University in 1998. He has held full time academic positions at the Institute for Advanced Study in Princeton (Member), University of Chicago (L. E. Dickson Instructor) and Princeton University (Assistant Professor ). His research interest is focused on Partial Differential Equations, Analysis and Fluid Mechanics. He has coauthored over 50 research papers, including articles in Annals of Mathematics, Journal of the American Mathematical Society, Communications on Pure and Applied Mathematics, Duke Math. Journal, Communications in Mathematical Physics, Archives Rational Mechanics and Analysis, Journal of the European Mathematical Society and the Proceedings of the National Academy of Sciences USA. Diego has been awarded an Alfred P. Sloan Doctoral Dissertation Fellowship (1997-1998), American Institute of Mathematics Postdoctoral Fellowship in 1999, Ramón y Cajal Researcher position in 2002, the SEMA Prize (Sociedad Española de Matemática Aplicada) for young researchers in 2005, and the Miguel Catalán Young Award 2011 from the Comunidad Autónoma de Madrid. In 2008 he obtained a Starting Independent Research Grant from the European Research Council (2008-2013). He was a Minerva Distinguished Visitor at the Math. Department of Princeton University from September 2014 until February 2015. He has also been selected as an invited Speaker at the next International Congress of Mathematicians (ICM) in Rio de Janeiro, Brasil (2018)."

Research Interest

Partial Differential Equations and Fluid Mechanics

Publications

  • "Splash singularities for the one-phase Muskat problem in stable regimes" (with A. Castro, C. Fefferman & F. Gancedo), Arch. Ration. Mech. Anal. Vol, 222, no.1, (2016), 213-243.

  • On the Muskat problem: global in time results in 2D and 3D" (with P. Constantin, F. Gancedo, Luis Rodriguez-Piazza & R. Strain), Amer. J. Math. Vol 138, no.6, (2016).

  • “Non-splat singularity for the one-phase Muskat problem” (with T. Pernas), Trans. Amer. Math. Soc. Vol. 369, no.1, (2017), 711-754.

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