Marc Kegel

Welcome to my webpage. I am a postdoc in the working group of Prof. Chris Wendl at the Humboldt University Berlin.

From September 2014 till July 2018 I was a member of the working group of Prof. Hansjörg Geiges at the University of Cologne where I graduated in January 2017 about "Legendrian knots in surgery diagrams and the knot complement problem".

The fields of my research include low-dimensional topology, contact geometry, symplectic topology and their interactions.

Contact

Mailing address:
Institut für Mathematik
Humboldt-Universität zu Berlin
Unter den Linden 6
10099 Berlin
Germany

Office:
Rudower Chaussee 25 (Johann von Neumann-Haus)
12489 Berlin
Room : 318, Haus 1
Telephon : +49-30-2093-45426
E-Mails :

Office Hours: after the lectures
Lunch: daily at 11:30

News

I will spend one semester (April 2024 - September 2024) as substitute professor at the Ruhr-University Bochum.
We will organize a one-day workshop at FU Berlin about knot theory and its applications on Friday November 17: Berlin-Brandenburg Workshop II: Knot Theory and its Application
I will spend one semester (September 2023 - March 2024) as substitute professor at the University Heidelberg.
Chun-Sheng Hsueh has published his first paper on the arXiv based on his master thesis.
Chun-Sheng Hsueh will start his Ph.D. studies funded by the Claussen-Simon Stiftung in August 2023.

CV

My complete CV can be accessed here.

Research

Geometric topology: low dimensional topology, experimental mathematics, knot theory, 3-manifolds, smooth 4-manifolds, Dehn surgery, open books, Kirby calculus, Lefschetz fibrations, trisections and Heegaard splittings.

Differential topology: contact and symplectic geometry, Legendrian and transverse knot theory, Engel structures, Morse theory, hyperbolic geometry.

Publications and Preprints