**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
Universiy 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 WS 2022/23

Lecture Differential Geometry I (4 hours lecture + 2 hour exercise session)
Student learning seminar on the geometry of 3-manifolds
## Teaching SS 2023

Seminar on selected topics in low-dimensional topology (details to follow).
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

*
*