Prof. Dr. Gaëtan Borot
Institute for Mathematics
& Institute for Physics
Institute for MathematicsChair 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
Address: Johann-von-Neumann-Haus, Rudower Chaussee 25
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 Prüfungsauschusses und der Kommission für Lehre und Studium, Studienberatung, Email: imp-pa-vorsitz.math@hu-berlin.de
Teaching and seminars
- Bachelor and master projects
- WiSe 2023/24
♦ Master course
Introduction to random matrix theory
♦ Mathematical physics seminar - SoSe 24: Freisemester @IHES
- Former teaching
- Archive seminars (Sept. 2020–Febr. 2023)
Upcoming talks
♦ 4-8 Sept. 2023: mini-course on Geometric recursion at CIME Summer School "Enumerative geometry, quantisation and moduli spaces"
♦ 26 Feb-1 Mar. 2024: Conference "A panorama of moduli spaces", Goethe-Universität Frankfurt.
♦ 8-12 Jul. 2024: workshop "New aspects in topological recursion and related topics", RIMS, Kyoto University.
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
Summer school: Enumerative geometry, quantisation and moduli spaces, 4-10 September 2023, CIME, Cetraro
A history of the domino problem, HU Berlin
with Michael Winter
- Talk+concert: 22. Nov. 2023
- Exhibition: 13. Nov.-1. Dec. 2023
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.