Ovidiu Savin

Ovidiu Savin (born 1 January 1977) is a Romanian mathematician who deals with partial differential equations and calculus of variations.

Savin 1995 received the gold medal at the International Mathematical Olympiad for Romania. He studied at the University of Pittsburgh ( and was at this time in 1997 Putnam Fellow ) with the master's degree in 1999, and in 2003 at the University of Texas at Austin with Luis Caffarelli doctorate ( phase transitions: regularity of flat level sets). As a post - graduate student, he was until 2006 Miller Fellow at the University of California, Berkeley, and he was from 2006 Associate Professor and from 2011 professor at Columbia University.

He proved a conjecture of Ennio De Giorgi, that the level sets of the solutions of smaller dimensions than for 9 hyperplanes are (later a counter-example for 9 or more dimensions was found). The differential equation is satisfied by the minimizers of the important in the theory of phase transitions Ginsburg -Landau functional.

In 2012 he received the Stampacchia Medal 2006, he was invited speaker at the International Congress of Mathematicians in Madrid ( Symmetry of Entire solutions for a class of semilinear elliptic equations ). 2007 to 2009 he was Sloan Fellow.

Writings

  • Regularity of flat level sets in phase transitions, Annals of Mathematics, 169, 2009, 41-78
  • Phase transitions: Regularity of flat level sets, Annals of Mathematics, Volume 169, 2009, pp. 41-78
  • With E. Valdinoci, B. Sciunzi: Flat level set regularity of p- Laplace phase transitions, Memoirs AMS, 2006
  • Minimal surfaces and minimizers of the Ginzburg -Landau energy, Contemporary Mathematics, Volume 528, 2009
Ginzburg–Landau theory Sloan Fellows Mathematics Genealogy Project Integrated Authority File
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