Dr. Sébastien Breteaux
Zimmer: 127
Telefon: (++49 531) 391-7433
E-Mail: s.breteaux@tu-bs.de
I am a mathematician interested in quantum systems with a large number of particles. For such systems the microscopic dynamics is often complicated and the important information on the macroscopic scale is not directly appearing. I work on the derivation, in some particular cases, of the equations describing those physical systems at the macroscopic scale starting from the equation at the microscopic scale.
In particular I use the mathematical framework of quantum field theory, pseudo-differential calculus (in finite and infinite dimension) and semiclassical measures to derive those equations.
More precisely, during my PhD under the direction of Francis Nier:
And in my post-doctorat under the supervision of Volker Bach:
2011-2013 | Post Doctorat, in the group of Volker Bach, Technical University of Braunschweig, Germany. |
2010-2011 | ATER Plein, Antenne de Bretagne de l'ENS de Cachan, Rennes. |
2010 | Work under the direction of Volker Bach, Gutenberg University, Mainz, Germany. |
On the minimization of an energy functional. | |
2007-2011 | PhD in mathematics, under the direction of Francis Nier, University of Rennes1. |
An approach of the derivation of kinetic equations using quantum field theory. | |
June 2005 | Work under the direction of Fabio Benatti, International Center for Theoretical Physics, Trieste, Italy. |
Study of a case of quantum entanglement. |
2007-2010 | "Monitorat", Antenne de Bretagne de l'ENS de Cachan, Rennes. |
2007 | Master 2 of Mathematics, Scuola Normale Superiore di Pisa, Italy. Grade TB. |
One year of Erasmus exchange with the SNS. | |
2007 | Magistère of Mathematics, Rennes. Grade TB. |
For the four year of formation at the ENS. | |
2006 | "Agrégation" of Mathematics, Rennes. Rank 91. |
Specialized in Scientific Calculus. | |
2005 | Maîtrise of Mathematics, Rennes. Grade B. |
2005 | Maîtrise of Physics, Rennes. Grade AB. |
June 2004 |
Work at the Polytechnique school laboratory of astrophysics, Palaiseau. Study of an algorithm on the numerical resolution of the Fokker-Planck equation. |
2004 | "Travail Encadré de Recherche", University of Rennes1. |
Resolution of the Gross-Pitaevskii equation by several numerical methods. | |
2004 | Bachelor in Mathematics, Rennes. Grade TB. |
Bachelor in Physics, Rennes. Grade B. | |
2003 | Admitted in the Antenne de Bretagne de l'Ecole normale supérieure de Cachan. Rennes. |
2013 | Haagen, (Germany) "Walkshop" of Mathematical physics. |
Paris, Variational and spectral methods in quantum field theory. | |
Cergy, Day on quantum field theory. | |
Lille, 5th Meeting of the GDR Quantum Dynamics. |
2013 | Grenoble, Seminar of mathematical physics. |
Aarhus (Denmark), Analysis seminar. | |
Montpellier, Seminar of the ACSIOM team. | |
2012 | Rennes, Seminar of the PDE team. |
Toulouse, Seminar of the MIP team. | |
Cergy, Seminar of geometry, PDE and mathematical physics. | |
Bordeaux, Seminar of mathematical physics. | |
Grenoble, Seminar of mathematical physics. | |
2011 | Braunschweig (Germany), Seminar of the analysis and algebra institut. |
Rennes, Summer school: Spectral analysis of non self-adjoint operators. | |
Rennes, Seminar of partial differential equations. | |
2010 | Mainz (Germany), Seminar of partial differential equations. |
2009 | Rennes, Work group on the mean field limit. |
Rennes, PhD students seminar in mathematics. | |
2008 | Brest, PhD students seminar in mathematics. |
2013-2014 | Course of partial differential equations 2. |
Exercises of Analysis for 2nd year students. | |
2012-2013 | Exercises of Mathematics for 1st year electrotechnics students, and |
in charge of the organisation of the different exercises groups. | |
Exercises of Functional Analysis in 3rd year. | |
2011-2012 | Exercises of Analysis in 1srt year. |
• Analysis (informatics and telecommunications students). |
2007-2011 | Preparation to the competitve exam for mathematics teachers "agrégation". |
• Mock oral exams in Analysis and Modelisation. | |
• Corrections of mock exams. | |
• Exercises on computers for the modelisation speciality. | |
2007-2011 | Exercises (with and without computers) to 1st years at the antenne de Bretagne de l'ENS Cachan. |
• Numerical linear algebra (mathematics students). | |
• Analysis (informatics and telecommunications students). |
2005-2006 | Mathematics summer courses to teachers of the normal school and of high school in Pakse. Laos. |
French | Native language |
English | Fluent |
Italian | Fluent |
German | Fluent |
Referee for reviews in mathematical physics. | |
2008-2011 | Council member of the mathematical research institut of Rennes. |