Institut für Mathematik
Universität Zürich
Winterthurerstrasse 190
CH-8057 Zürich
E-Mail:
Fax: +41 44 635 57 05
Office: Y27G25
Universität Zürich
Winterthurerstrasse 190
CH-8057 Zürich
E-Mail:
Fax: +41 44 635 57 05
Office: Y27G25
Person
Maksymilian Piotr Manko
Working group:
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.
Vita
Education
- 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.
Research
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.