Ovidiu Savin

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

Ovidiu Savin, Berkeley 2003

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

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

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

Fonts

  • 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

Web links

Individual evidence

  1. ^ Mathematics Olympiad , Savin
  2. ↑ Ovidiu Savin in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  3. ↑ Manuel del Pino, Michał Kowalczyk, Juncheng Wei: On De Giorgi's conjecture in dimension N≥9, Annals of Mathematics, 174, 2011, 1485–1569
  4. ^ Stampacchia medal for Savin
personal data
SURNAME Savin, Ovidiu
BRIEF DESCRIPTION Romanian mathematician
DATE OF BIRTH January 1, 1977