Gaëtan Borot

Biography

Since April 2014, I am W2-Gruppenleiter at the Max Planck Institute for Mathematics, Bonn. Before, I have been a visiting scholar at MIT and a postdoc at University of Geneva (both maths departments). I spend my PhD years in theoretical physics at CEA Saclay, under the supervision of Bertrand Eynard. Earlier, I was a student at ENS Paris. You can find here information on my research, a CV, events I am co-organizing, upcoming/former talks and slides, and information related to my teaching. Here is also some popular science texts written earlier, and a big picture. Since April 2014, I am W2-Gruppenleiter at the Max Planck Institute for Mathematics, Bonn. Before, I have been a visiting scholar at MIT and a postdoc at University of Geneva (both maths departments). I spend my PhD years in theoretical physics at CEA Saclay, under the supervision of Bertrand Eynard. Earlier, I was a student at ENS Paris. You can find here information on my research, a CV, events I am co-organizing, upcoming/former talks and slides, and information related to my teaching. Here is also some popular science texts written earlier, and a big picture.

Research Interest

I am interested in the combinatorial and algebraic structures underpinning quantum field theories: Frobenius manifolds, integrable systems, conformal field theories, topological recursions, geometric quantization, operads ... This has strong links to problems in enumerative geometry of surfaces, knot theory, and random matrices. I am also interested in the probabilistic aspects of random matrix theory and interacting particle systems. An introductory masterclass on topological recursion followed by a conference was organized in QGM, Aarhus in January 2013 (videos). As a follow-up of discussions initiated in Aarhus, I organized in November 2014 a workshop on Topological recursion and geometric quantization in Bonn (videos). Here is a overview list of mathematical results that came out of topological recursion and its applications, which can also serve a guide through bibliography. A trimester at IHP on Combinatorics and Interactions was held January-March 2017 at IHP, Paris, in coorganization with Marie Albenque, Guillaume Chapuy and Valentin Féray. This represents well my interests related to combinatorics and geometry.