Humboldt-Universität zu Berlin - Mathematisch-Naturwissenschaftliche Fakultät - Institut für Mathematik

Humboldt-Universität zu Berlin | Mathematisch-Naturwissenschaftliche Fakultät | Institut für Mathematik | Forschung | Forschungsgebiete | Mathematische Physik | Mathematische Physik: Mathematische Aspekte der Quantenfeld- und Stringtheorie

Prof. Dr. Gaëtan Borot

Foto Gaetan 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.



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,


Teaching and seminars

  • Online research seminar
    Algebra, Geometry & Physics
    Tuesdays 1.45-3.15pm
    - Contact Kristina Schulze if you want to be on the mailing list.
    - HU students can validate  2SWS/semester by regular attendance + writing a report on one talk of their choice during the semester.
  • SoSe 2022
  • ♦ Bachelor/master level
    Mathematische Methoden der Physik
    ♦ Master reading group:
    Mathematics of conformal field theory
  • Former teaching

Upcoming talks


  • 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.


I list here announcements I received.
Below, events I plan to take part to

Workshop on Noncommutative geometry, free probability theory and random matrix theory, 13-19 Jun. 2022, University of Western Ontario.

Special Session on Mathematical Physics of Gravity, Geometry, QFTs, ... AMS-SMF-EMS international joint meeting, 18-22 July 2022, Grenoble.

(Org) Thematic month: Integrability, enumerative geometry and quantization, 22 Aug.-24 Sept. 2022, Simons Center for Geometry and Physics, Stony Brook

Workshop: Universalité et gas de Coulomb, 7-10 Nov. 2022, IHP, Paris

(Org) Workshop: Non-commutative geometry meets topological recursion, 13-18 Nov. 2022, BIRS Hangzhou

(Org) CIMPA school: Crossroads of representation theory, geometry and higher structures, 13-26 Mar. 2023, Puerto Madryn.

(Org) KMPB Spring school: 3 Facets of Gravity, 8-12 May 2023, HU Berlin.

(Org) Summer school: Enumerative geometry, quantization and moduli spaces, 4-10 September 2023, CIME, Cetraro.