Institute of Mathematics


Maksymilian Piotr Manko

Institut für Mathematik
Universität Zürich
Winterthurerstrasse 190
CH-8057 Zürich

Fax: +41 44 635 57 05
Office: Y27G25

I am a PhD student in Prof. Anna Beliakova's group. I work on 4-dimensional topology and quantum algebra. I am a graduate student in the Simons Collaboration for New Structures in Low-Dimensional Topology, as well as Swiss mathematics and physics collaboration SwissMAP.



  • University of Zurich, PhD Mathematics,  2023-
    Main project: "Bobtcheva-Piergallini Hopf algebra presentations of 4-dimensional handlebodies", supervised by Prof. Anna Beliakova
  • University of Oxford, MSc Mathematical and Theoretical Physics, Distinction, 2023
    Master thesis: "Differential Cohomology and its Applications in M-Theory", supervised by Prof. Sakura Schafer-Nameki
  • University of Manchester, BSc Mathematics and Physics, First Class, 2022
    Bachelor thesis: "A construction of Euclidian spinors as geometric quantisation on supermanifold", supervised by dr Theodore Voronov.


My research concentrates on quantum topology, in particular constructing 4-manifold invariants employing Hopf algebras and related algebraic concepts. I also work on computational methods relevant to quantum algebra.

Additionally, I maintain an interest in topological quantum field theories, and relationships of topology to physics, in particular generalized symmetries and defects in quantum field theories.

Fall 23 Fall 24

Lecture & Seminar

Students seminars
Seminar: Applied category theory
Maksymilian Piotr Manko