brownian 3-torus. credit to Jeremie Bettinelli


ERC Starting Grant
CombiTop

New Interactions of Combinatorics
Through Topological Expansions


a C-decorated treemobile branchesvoronoiConjecture


    The 5-year project CombiTop, funded by the ERC (Starting Grant 2016) started on March 1st, 2017. It is centered around, but not limited to, the combinatorics of maps on surfaces, and more precisely the combinatorics arising in topological expansions (roughly speaking, 2D counting problems where the dependence on the genus invariant plays a central role).

    The main goal is to study the interactions between:

  • the bijective approach to maps;
  • random maps and Brownian maps;
  • the "combinatorics of fermions", tau functions, symmetric group algebra and algebraic combinatorics;
  • the combinatorics of the topological recursion.

Each of these topics features some remarkable integrability properties as well as some beautiful combinatorial constructions, and the main goal of the project is to seek for a greater unification of these theories, including their combinatorial aspects.

A plucker relation

Today the project consists of


                    We're hiring:

Second call for postdoc applications -- deadline March 31st 2018

  • Theme: Combinatorics of Maps and their interactions (random maps, combinatorial aspects of mathematical physics, algebraic combinatorics)
  • More precise subject: something that both you and I find interesting to think about
  • Location: IRIF, Université Paris-Diderot, in Paris 13th district.
  • Duration: 12 months, with possible extension to two years.
  • Starting date: 2018
  • Salary: around 29000 euros per year (net).
  • Deadline for application: March 31st, 2018.
The project offers one (or more) postdoctoral position of one year with a possible extension to two years. The starting date is not fixed. The successful applicant will join the Combinatorics group of the IRIF department. There is no teaching duty.

The salary offered will be around 29000 euros per year (net). We will also provide the postdoc with a generous amount of travel money (up to 8keur/year if justified) and a laptop if necessary.

The candidate should have a strong background in at least one of the following subjects: enumerative combinatorics, probability theory, mathematical physics, algebraic combinatorics. His/her research interests should be related to the themes of the project. Possible research themes include: random maps, random trees, map enumeration, algebraic combinatorics, integrable systems.

Université Paris Diderot is located downtown Paris and interacts with many other research institutions, in particular CEA, École Polytechnique, École Normale Supérieure, Orsay, Marne-La-Vallée. Many research seminars make the working environment very stimulating.

Applications (including CV, list of publications and short description of research interests), as well as the names of two people who can submit letters of recommendation, should be sent before March 31st 2018 by e-mail to guillaume.chapuy@irif.fr. Applicants are expected to have a PhD in computer science, mathematics or theoretical physics when the position starts.

Feel free to contact me if you have questions. Applications must be sent to guillaume.chapuy@irif.fr. Please also include a few words (or more) explaining why you are interested.

Please include "CombiTop Postdoc" in the subject of your mail for application or for any question.


a random genus 0 map

Credit for the (purple) genus-3 Brownian map image at the top of this page: Jérémie Bettinelli.