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,

Vorsitzender des Prüfungsauschusses und der Kommission für Lehre und Studium, Studienberatung, Email:


Teaching and seminars

  • Online research seminar
    Algebra, Geometry & Physics
    Tuesdays 2.00-3.00pm
    - 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.
  • Bachelor and master projects
  • WiSe 2022
  • ♦ Bachelor
    Analysis I für PhysikerInnen
  • SoSe 2023
  • Master course:
    Differentialgeometrie II
    Master reading group:
    String topology
  • Former teaching


  • 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.


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

(Org) ESI workshop: Non-commutative geometry meets topological recursion III, 24-28 Apr. 2023, Vienna.

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

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

(Org) MFO workshop: Riemann surfaces: random, flat and hyperbolic geometry, 9-14 Sept. 2024, Oberwolfach.

(Org) BIRS Workshop: Non-commutative geometry meets topological recursion IV, 23-27 Sept. 2024, Hangzhou.