new Kegel

Marc Kegel

Welcome to my webpage. I am a visiting lecturer (Gastdozent) 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

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

Teaching SS 2023

Seminar on hyperbolic knot theory

Former Teaching

Teaching evaluations

I regularly attend the following seminars

Reading seminar: Freedman's proof of the 4-dimensional Poincaré conjecture

Working group seminar on symplectic geometry

Berlin-Hamburg Seminar zur symplektischen Geometrie

Oberseminar Differentialgeometrie und Geometrische Analysis

MATH+ Fridays colloquium

Miscellaneous

Learning Seminar: Computational Topology, WS 2017/18, University of Cologne

The stabilisation height of fibre surfaces, Lecture series by Filip Misev, 19 Oct - 20 Oct 2017, University of Cologne

Morse Structures on Open Books, Lecture series by Joan Licata, 17 May - 19 May 2017, University of Cologne

Connect Four on the Klein bottle (Vier gewinnt auf der Kleinschen Flasche)

Links

You can also find me on:

Google Scholar

arXiv

Front for the arXiv

MathSciNet

zbMATH

MathOverflow

Researchgate

Mathematics Genealogy Project

ORCiD