Tristan Rivière
Tristan Rivière (born November 26, 1967 in Brest ) is a French mathematician who deals with partial differential equations and the calculus of variations .
Rivière studied at the École polytechnique and received his doctorate in 1993 from the University of Paris VI with Fabrice Béthuel (Application harmonique entre varietes). In 1992 he became the CNRS Chargé de Recherche . In 1997 he completed his habilitation at the University of Paris-South in Orsay. From 1999 to 2000 he was Visiting Associate Professor at the Courant Institute (New York University). Since 2003 he has been a full professor at the ETH Zurich and since 2009 director of the Research Institute for Mathematics at the ETH.
He deals with partial differential equations from physics ( liquid crystals , Bose-Einstein condensation , micromagnetism, Ginzburg-Landau equations from superconductivity , Yang-Mills equations ) and differential geometry (harmonic mappings between manifolds , curvature flows, minimal surfaces and Willmore surfaces ) and here in particular with non-linear phenomena, the formation of vortices and other structures and questions of regularity.
In 1996 he received the bronze medal of the CNRS and in 2003 the first Stampacchia medal . In 2002 he was invited speaker at the International Congress of Mathematicians in Beijing (Bubbling, quantization and regularity issues in geometric non-linear analysis).
Fonts
- Everywhere discontinuous Harmonic Maps into Spheres, Acta Matematica, 175, (1995), 197-226
- with F. Pacard: Linear and Nonlinear Aspects of Vortices. Birkhäuser 2000
- Conservation laws for conformally invariant variational problems . Inventiones Math., 168 (2007), 1-22
- with R. Hardt: Connecting rational homotopy type singularities of maps between manifolds. Acta Matematica, 200: 15-83 (2008)
- Analysis Aspects of Willmore Surfaces. Inventiones Math., 174 (2008), no.1, 1-45
- with G. Tian: The singular set of 1-1 Integral currents. Annals of Math., 169 (2009), no.3, 741-794
- with Y. Bernard: Energy Quantization for Willmore Surfaces and Applications. Annals of Math., (2) 180 (2014), no.1, 87-136
- A viscosity method in the min-max theory of minimal surfaces. Publications mathématiques de l'IHÉS, 126 (2017), no.1, 177-246
Web links
- Homepage, ETH Zurich
- Literature by and about Tristan Rivière in the SUDOC catalog (Association of French University Libraries)
Individual evidence
- ↑ Tristan Rivière in the Mathematics Genealogy Project (English)
| personal data | |
|---|---|
| SURNAME | Rivière, Tristan |
| BRIEF DESCRIPTION | French mathematician |
| DATE OF BIRTH | November 26, 1967 |
| PLACE OF BIRTH | Brest |