Vladimir Sverak obtained his doctorate under Jindřich Nečas at the Charles University in Prague in 1986. His undergraduate thesis was supervised by David Preiss. His postdoctoral stays were in Edinburg (with John Ball) and in Bonn (with Stefan Hildebrandt).  He has been a Professor at the University of Minnesota since 1994. Sverak studies partial differential equations. He received an ECM prize at the first European Congress of Mathematicians in 1992. He has been a Distinguished McKnight University Professor at the University of Minnesota since 2000. In 2017 he received an award in mathematics by the Neuron Foundation in Prague.

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