Name Reda CHHAIBI Office Institut de Mathématiques de Toulouse. Université Paul Sabatier. 118, route de Narbonne. F-31062 Toulouse Cedex 9 Email reda.chhaibi -at- math.univ-toulouse.fr Phone --

Welcome to my webpage! I am a mathematician working at the "Institut de Mathématiques de Toulouse" IMT.
Generally speaking, my favorite objects are stochastic dynamics on Lie groups and their interplay with mathematical physics, integrability, random matrices and representation theory.
More on that in the research section.

Usually, my research deals with:

• - Random walks and Brownian motion on Lie groups.
• - Representation theory of Lie groups, quantum groups and their combinatorics via crystals.
• - Mathematical physics and more specifically: Random matrices, particle systems and directed polymers.
A particularly useful tool in all these fields is harmonic analysis, albeit in different guises.

Nevertheless, I am easily swayed away by other scientific topics. For example:

 Publications For an up-to-date list of publications, please consult: phD "Littelmann path model for geometric crystals, Whittaker functions on Lie groups and Brownian motion" phD thesis under the direction of Prof. Bougerol , University of Paris VI. Publicly defended on the 24th of January 2013. [arxiv, slides ]. The BIRS video talk below offers an overview, mainly for a public with an algebraic background. Video talks Tuesday Oct 15, 2013. 09:07 - 10:08. Banff International Research Station (BIRS), Alberta, Canada. "Archimedean Whittaker functions and geometric crystals". Page link . Video recorded here . Monday, July 25, 2016 08:59 - 09:45. Banff International Research Station (BIRS), Alberta, Canada. "A probabilistic approach to the Shintani-Casselman-Shalika formula". Page link . Video recorded here . Slides This section is mainly for recording purposes. It references some slides and the paper it mainly focuses on. If you are insterested in slides that are not here, do not hesitate to email me. A probabilistic approach to the Shintani-Casselman-Shalika formula" [ arxiv, video talk above, slides for an audience of probabilists] Whittaker processes as particle systems". [arxiv, slides on probabilistic side only, Based on chapter 6 from thesis] On the maximum of the $$C\beta E_n$$". [arxiv, slides in French] On the circle, $$GMC^\gamma = \varprojlim C\beta E_n$$ for $$\gamma = \sqrt{\frac{2}{β}}$$, $$(\gamma \leq 1)$$". [arxiv, slides] Quantum $$SL_2$$, Infinite curvature and Pitman's 2M-X theorem." [arxiv, slides] Visits, conferences and talks This section is for both recording and organisation purposes. If you are around a place I am visiting, and feel like discussing mathematics, please drop me an email! 02/2019: Aachen-Bochum-Cologne-Darstellungstheorie Seminar [link]. Invited speaker. Aachen, Germany. 01/04/2019: Workshop « Processus stochastiques, géométrie et structures algébriques » [link]. Invited speaker. Mahdia, Tunisia. 10/04/2019: Seminar talk. Queen's University, Kingston, Ontario, Canada. 18/04/2019: Seminar talk. Cornell, USA. 10-21/06/2019: Conference "Probability and quantum field theory: discrete models, CFT, SLE and constructive aspects" [link]. Invited speaker. Porquerolles, France. 17-21//2019: Conference "Extremes in number theory and probability" [link]. Invited speaker. IHP, Paris, France. 09/09/2019: Workshop on quantum measurements. Talk: "Spiking and collapsing in 1d diffusions with large noise". Laboratoire Jean Dieudonné, Nice, France. 14-18/10/2019: Interactions between PDEs and Probability: Particle Systems, Hyperbolic Conservation Laws. [link]. No talk. CIRM, Marseille, France. 22/10/2019: Seminar talk. Geneva, Switzerland. 27-31/10/2019: Workshop. Bristol, UK. 01-15/11/2019: Guest at the Hausdorff Institute. Seminar talk. Bonn, Germany. 17-28/11/2019: Guest at FSU. Seminar and Coloquium talks. Thallahassee, Florida, USA. 02-06/12/2019: XV Latin American Congress of Probability and Mathematical Statistics (CLAPEM 2019). Speaker at a thematic session [link]. Mérida-Yucatán, México. 13/03/2020: Séminaire MeGA. [link]. Paris, France. 19/05/2020: Oxford Random Matrix Theory Seminars. [link]. Online. 25-29/05/2020: Congrès de la SMF [link]. Nancy, France. TO BE CANCELED BECAUSE OF COVID-19. 03-05/06/2020: Workshop ANR MESA "Quantitative methods in Random Matrices" [link]. Toulouse, France. TO BE CANCELED BECAUSE OF COVID-19. 22/09/2020: Seminar Talk. Laboratoire Jean Dieudonné. Nice. France.