Tristan Rivière
| Tristan Rivière | |
|---|---|
 Tristan Rivière at the Mathematical Research Institute of Oberwolfach, 2006 | |
| Born |
26 November 1967 (age 49) Brest, France |
| Nationality | French |
| Fields | Calculus of variations, Partial differential equations |
| Institutions | ETH Zurich |
| Alma mater | Pierre and Marie Curie University (Ph.D., 1993) |
| Doctoral advisor | Fabrice Bethuel |
| Notable awards |
Bronze Medal of the CNRS (1996) Stampacchia Medal (2003) |
Tristan Rivière (born 26 November 1967) is a French mathematician, working on partial differential equations and the calculus of variations.
Biography
Rivière studied at the École Polytechnique and obtained his PhD in 1993 at the Pierre and Marie Curie University, under the supervision of Fabrice Bethuel, with a thesis on harmonic maps between manifolds. In 1992 he was appointed chargé de recherche at CNRS. In 1997 he received his habilitation at the University of Paris-Sud in Orsay. From 1999 to 2000 he was a visiting associate professor at the Courant Institute of Mathematical Sciences. Since 2003 he is full professor at ETH Zurich, where he has taught since 2001. Since 2009 he is the Director of the Institute for Mathematical Research at ETH.
Research activity
His research interests include partial differential equations in physics (liquid crystals, Bose–Einstein condensates, micromagnetics, phase transitions, Ginzburg–Landau theory of superconductivity, Yang–Mills equations) and differential geometry (harmonic maps between manifolds, geometric flows, minimal surfaces and the Willmore functional). His work focuses in particular on non-linear phenomena, formation of vortices, energy quantization and regularity issues.
Awards and recognition
In 1996 he received the Bronze Medal of the CNRS, while in 2003 he was awarded the first Stampacchia Medal. In 2002 he was an invited speaker at the International Congress of Mathematicians in Beijing, where he gave a talk on bubbling, quantization and regularity issues in geometric non-linear analysis.
Selected publications
- with F. Pacard: Linear and Nonlinear Aspects of Vortices. Birkhäuser (2000)
- Ginzburg Landau Vortices – The static Model. Seminaire Bourbaki no. 868 (1999)
- with Gang Tian: The Singular Set of 1–1 Integral Currents. In: Annals of Mathematics, 169 (2009), 741–794
- Analysis aspects of Willmore surfaces. In: Inventiones Mathematicae, 174 (2008), 1–45
- Conservation laws for conformal invariant variational problems. In: Inventiones Mathematicae, 168 (2007), 1–22