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 +33 6 63 08 91 99
This is exclusively for administrative staff and research colleagues. Students can reach me via email.
Frozen Bubble by Angela Kelly

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.

My research interests are: Random walks and Brownian motion on Lie groups, Representation theory of Lie groups and its combinatorics via crystals, Random matrices, Mathematical physics (particle systems and directed polymers). Sometimes, my work borders on number theory.

For research papers, please consult the arxiv. Also, here are relevant slides and links.

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 .

Talks and slides

This section is mainly for recording purposes

``A probabilistic approach to the Shintani-Casselman-Shalika formula" [ arxiv, video talk below, slides for an audience of probabilists, IMRN]

``Whittaker processes as particle systems". [arxiv, slides on probabilistic side only, Based on chapter 6 from thesis]

2017-2018 - UPS

"L1 Sciences: EPNFM1A1 Mathématiques" - Amphi A + Groupe de TDA1. [ Lien moodle ]

Diapositives de cours: [ CM1 ] [ CM2 ]

"L3 SID: Algèbre linéaire" - Cours/TD

[ Polycopié ] [ TD1 ] [ TD2 ] [ TD3 ] [ TD4 ] [ Annales 2012 ] [ Annales 2016 ] [ Sujet 2017 ] [ Corrige 2017 ]

"M1: Modélisation - Probabilités et statistiques" - Cours/TD/TP

2016-2017 - UPS

"L1: Mathématiques pour la biologie" (Groupe C4). Responsable: CHAPON François.

"L3 SID: Algèbre linéaire" - Cours/TD

"M1: Modélisation - Probabilités et statistiques" - Cours/TD/TP

2015-2016 - UPS

"L2: Théorie des groupes et géométrie" (Groupe 2). En collaboration avec J. Bertrand, T. Fiedler (Responsable) et L. Gravilov pour les autres groupes.

[ Résumé de cours - Très incomplet ] [ Partiel ] et son [corrigé]. [ Examen ] et son [corrigé].

"M1: Modélisation - Probabilités et statistiques" - Cours/TD/TP

Fall 2014 - UZH

Introduction to mathematical finance. (Assistant: Martina Dal Borgo).

[ Lecture notes ] [ Sheet 1 ] [ Sheet 2 ] [ Sheet 3 ] [ Sheet 4 ] [ Sheet 5 ] [ Midterm ] [ Sheet 6 ] [ Sheet 7 ] [ Sheet 8 ] [ Sheet 9 ] [ Sheet 10] [ Sheet 11] [ Sheet 12]

Student seminar: Limit theorems in probability theory

Spring 2014 - UZH

Student seminar: Computational methods in mathematics

Fall 2013 - UZH

Introduction to mathematical finance. (Assistant: Doërte Kreher).

[ Midterm ] [ Final ] [ Final correction]

Spring 2013 - UZH

Student seminar: Combinatorics

Fall 2012 - UZH

Introduction to representation theory (Assistant). The course followed the book of Fulton and Harris.

[ Sheet 1 , Solutions ] [ Sheet 2 , Solutions ] [ Sheet 3 , Solutions ] [ Sheet 4 ] [ Sheet 5 ] [ Sheet 6 [ Sheet 7 ] [ Sheet 8 ] [ Exam with solutions ]