Prof. Dr. Gaëtan Borot
Institute for Mathematics
& Institute for Physics
Chair in Mathematical Physics:
Mathematical aspects of QFT and strings
+ Research group webpage
+ Recent publications
Interests: enumerative geometry, quantum
algebra/topology/geometry, topological recursion,
integrability, moduli spaces, algebraic structures, random matrix theory, combinatorics, science outreach.
Email: gaetan.borot@hu-berlin.de
Location: Johann-von-Neumann-Haus, Rudower Chaussee 25, 12489 Berlin
but postal address is different:
Humboldt-Universität zu Berlin, Institut für Mathematik
Unter den Linden 6, 10099 Berlin
Office: Office 1.333 (Haus 1, 3rd floor, right corridor)
Phone: (030) 2093 45479
Secretary: Kristina Schulze, schulze@math.hu-berlin.de
IMP-Bachelor: Vorsitzender des Prüfungsausschusses und der Kommission für Lehre und Studium, Studienberatung, Email: imp-pa-vorsitz.math@hu-berlin.de
Freisemester vom 01.03.2024 bis 14.10.2024:
- Für alle IMP-Prüfungsausschuss Anfragen, die nicht Anerkennungen betreffen, bitte wenden Sie sich an meiner Vertretung: Prof. Dr. Matthias Staudacher
- Für alle IMP-KLS Anfragen, bitte wenden Sie sich an meiner Vertretung: Prof. Dr. Henning Meyerhenke
Teaching and seminars
- Bachelor and master projects
- WiSe 2023/24
♦ Master course
Introduction to random matrix theory
♦ Mathematical physics seminar - SoSe 24
Freisemester @IHES - WiSe 24/25
♦ Master course
Integrable systems
♦ Mathematical physics seminar - SoSe 25
♦ Master course
Differentialgeometrie II
♦ Mathematical physics seminar - Former teaching
- Archive seminars (Sept. 2020–Febr. 2023)
Upcoming talks
♦ 15 April 2024: séminaire de physique mathématiques, Institut de Physique Théorique, CEA Saclay: Topological recursion for 4d N = 2 supersymmetric gauge theory and consequences
♦ 22 April 2024: séminaire Géométrie et Dynamique, Université de Cergy-Pontoise: Non-perturbative topological recursion and (potential) applications
♦ 26 April 2024: Séminaire de géométrie énumérative, Institut Mathématique de Jussieu, Paris Rive Gauche: F-cohomological field theories and topological recursion
♦ 16 May 2024: Colloque, Institut de Mathématiques de Bourgogne, Dijon: Topological recursion: what, why, what for?
♦ 22 May 2024: Séminaire de géométrie du CLMS, École Polytechnique: Compter les surfaces de Riemann avec la récurrence topologique
♦ 27-31 May 2024: Conference Discrete differential geometry and dimers, TU Berlin.
♦ 7 June 2024: Groupe de travail LDRAM, UMPA, ENS Lyon: Discrete β-ensembles and a vertical section of the Gaussian free field
♦ 19-21 June 2024: conference Random matrices and free probability, Institut de Mathématiques de Toulouse: Functional relations for all order free probability and applications to random matrices
♦ 8-12. July 2024: workshop "New aspects in topological recursion and related topics", RIMS, Kyoto University.
♦ 12-16. August 2024: Les Houches School of Physics Quantum geometry - Mathematical methods for gravity, gauge theories and non-perturbative physics: N = 2 supersymmetric gauge theory, W-algebras and topological recursion
Resources
- Slides of the online reading group on Stability conditions and DT theory (Spring 2020).
- A list of mathematical results that came out of topological recursion, that can also serve as bibliography guide (be welcome to propose me updates or corrections). Latest version 2018
- Video recordings of the Geometric recursion learning seminar (Winter 2018/2019, MPIM)
- Lecture notes of a mini-course in Toulouse (May 2017): Topological recursion and geometry, math-ph/1705.09986, published in Rev. Math. Phys. (2020)
- Lecture notes of a mini-course at CIMPA summer school, Ulanbataar: Introduction to random matrix theory, math.PR/1710.10792, published in Mong. J. Math. 20 1 (2016) 5-52. For a brief history of mathematics in Mongolia, see the article by Ninjbat Uuganbaatar.
- Lecture notes for a mini-course A walk through the woods of integrability at Hannover University, June 2015
- Lecture notes for a master course on Random matrix theory, Bonn University, Winter 2014/2015
- Lecture notes by Alice Guionnet for her mini-course on Schwinger-Dyson equations, topological expansions and random matrices at Columbia, Aug. 2017.
- Video recordings of mini-courses at a MPIM workshop in Fall 2014:
- Jorgen E. Andersen, The Hitchin connection and the Witten-Reshetikhin-Turaev TQFT
- Bertrand Eynard, Topological recursion and moduli spaces - Video recordings of a Masterclass on topological recursion by Bertrand Eynard and Nicolas Orantin, at QGM Aarhus, January 2013.
Organisation of upcoming events
MFO workshop: Riemann surfaces: random, flat and hyperbolic geometry, 9-14 Sept. 2024, Oberwolfach.
BIRS Workshop: Non-commutative geometry meets topological recursion IV, 23-27 Sept. 2024, Hangzhou.