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About this position
The project "HighGG(funded by Agence Nationale de la Recherche as a JCJC grant) aims at getting a better understanding of the geometric behavior of (random) surfaces in the high genus limit. The models that are considered include combinatorial maps, Hurwitz numbers, half-(translation) surfaces and hyperbolic surfaces. Besides using and developing purely geometric/combinatorial techniques, this project crucially requires/aims at a good understanding of the asymptotic behavior of certain quantities (mostly number of objects/volumes), sometimes as two (or more) parameters tend to infinity at the same time. Recently, various techniques have been developed for this kind of problems, based either on recurrence formulas or "matrix identities" of the generating function.
The perspectives of the project are very broad, candidates from various fields are welcome. If you have expertise in one or several topics listed below you are welcome to apply ! In particular, applicants who are skilled in asymptotic enumeration are not required to know anything about the geometric part, and vice versa.
Models of surfaces : combinatorial maps, Hurwitz numbers, half-(translation) surfaces, hyperbolic surfaces, etc.
Random graphs in general
The moduli space of curves, in particular intersection theory and calculations of intersection numbers
Asymptotic enumeration/analytic combinatorics, especially multivariate asymptotics, study of nonlinear and/or multivariate recurrences. Good (computer-aided) guessing skills are appreciated !
Integrable hierarchies in enumerative geometry : KP/Toda/etc., fermionic calculs/infinite wedge space, etc.
Topological recursion and resurgence theory for asymptotic enumeration
Any other topic that you feel is relevant to the project.
More details: https://baptiste.louf.fr/postdoc.html
Application date
Application Deadline: December 31st, 2024
How to apply
https://baptiste.louf.fr/postdoc.html
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