Wendelin Werner

Wendelin Werner

Wendelin Werner (born September 23, 1968 in Cologne ) is a mathematician and professor at the ETH Zurich , his field of work is probability theory . He is the recipient of the Fields Medal , which was awarded to him at the 2006 International Congress of Mathematicians in Madrid. He is particularly concerned with self-avoiding random walks and the theory of percolation in the context of the Schramm-Löwner evolution .

Life

Werner was born in Cologne. He was born in Germany and has been a French citizen since 1977. He attended the preparatory courses ( classe préparatoire ) for the French elite schools at the Lycée Hoche . From 1987 to 1991 he studied at the École normal supérieure (ENS) and received his doctorate in 1993 from the University of Pierre and Marie Curie under Jean-François Le Gall . From 1991 to 1997 he was Chargé des Recherches at the CNRS and from 1993 to 1995 as a post-doctoral student at Cambridge University . In 1997 he became a professor at the University of Paris-South. In 2013 he was appointed to the ETH Zurich .

He was visiting professor at the University of Cambridge, ETH Zurich and TU Berlin, among others, and lectured at Caltech (Tom Wolff Lectures), the Massachusetts Institute of Technology (Simons Lectures) and the Royal Technical University in Stockholm (Gustafsson Lectures) the Universities of Cambridge (Davidson Lecture), Barcelona (Levy Lecture) and Utrecht (Mark Kac Seminar).

In 2004 he was invited speaker at the 4th European Congress of Mathematicians ( SLE, conformal restrictions, loops ) and at the ECM 2000 in Barcelona. In 2006 he was invited speaker at the International Congress of Mathematicians in Madrid ( Conformal restriction properties ). He is a member of the Académie des Sciences , the Berlin-Brandenburg Academy of Sciences , the Leopoldina , the Academia Europaea and the Brazilian Academy of Sciences . He is an Honorary Fellow of Gonville and Caius College , Cambridge . Werner was an Einstein Visiting Fellow at the Berlin Mathematical School from 2011 to 2014 .

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From the 1990s Werner had a leading role in the strict justification of universal properties of Brownian motion and two-dimensional systems at the critical point, which were previously a central research field in statistical physics (especially under the aspect of conformal field theories ). He worked with Oded Schramm and Greg Lawler and with the Fields Medal n-winner Stanislav Smirnov together.

For example, in 2001/2002, together with Lawler and Schramm, he was able to derive the universal exponents for the overlap probability of flat Brownian random paths, using the technique of SLE ( Schramm-Löwner evolution ). They also proved a conjecture by Benoît Mandelbrot about the fractal dimension of Brownian fronts in two dimensions, namely that this is 4/3.

Others

As a teenager he played a role in the film The Walker of Sans-Souci (1982).

Prices

• 1998 Rollo Davidson Prize
• 1999 Doistau-Blutet Prize of the Academie des Sciences
• 2000 EMS price
• 2001 Fermat Prize
• 2003 Jacques Herbrand Prize from the Academie des Sciences
• 2005 Loève Prize
• 2006 George Pólya Prize from SIAM
• 2006 Fields Medal
• 2016 Heinz Gumin Prize for Mathematics from the Carl Friedrich von Siemens Foundation
• 2020 Foreign member of the Royal Society

He was Colloquium Lecturer of the American Mathematical Society (2008) and held the Cours Peccot at the Collège de France (1999).

Fonts

• Werner Drawing large pictures at random , Oberwolfach Lecture 2007, Online, pdf
• Werner Some recent aspects of random conformally invariant systems , Les Houches Lectures 2005
• Werner Conformal restriction and related questions , Lectures Edinburgh, 2003
• Werner Lectures on 2 dimensional critical percolation , Park City Lectures 2007 , IAS / Park City Math. Ser., Volume 16, 2009, pp. 297-360
• Werner Random planar curves and Schramm-Loewner-Evolutions , Saint Flour Lectures 2002 , Lectures on probability theory and statistics, Lecture Notes in Math., Volume 1840, 2004 pp. 107-195
• Percolation et modèle d'Ising , Cours spécialisés, SMF Publ., Volume 16, 2009

Web links

• Literature by and about Wendelin Werner in the catalog of the German National Library
• Wendelin Werner in the Internet Movie Database (English)
• Page Personnelle Professionnelle at the Département de Mathématiques d'Orsay (French)
• SIAM: Gregory F. Lawler, Oded Schramm and Wendelin Werner receive George Polya Prize in Boston
• Biography on the occasion of the Hirzebruch Lecture in Bonn 2011
• Charles M. Newman The Work of Wendelin Werner , ICM 2006, pdf
• Acknowledgment on the occasion of the EMS Prize, Notices AMS 2000, pdf
• Cours sur les courbes planes aléatoires: http://www.universites-numeriques.fr/ressources/thematic-search.html?menuKey=unt&id=un_103_5&submenuKey=thematic_un&sort_field=author&sort_field_ascending=false

Individual evidence

1. ↑ Wendelin Werner. In: Catalog of the German National Library. Retrieved August 1, 2018 . 
2. ↑ http://www.ethlife.ethz.ch/archive_articles/130308_ETH_Rat_neue_Profs_tl/index
3. ↑ Member entry of Wendelin Werner (with picture) at the German Academy of Natural Scientists Leopoldina , accessed on July 20, 2016.
4. ↑ Directory of members: Wendelin Werner. Academia Europaea, accessed on September 27, 2017 . 
5. ↑ Wendelin Werner . In: Einstein Visiting Fellows. Einstein Foundation Berlin, accessed on May 23, 2018.