I am a postdoc under a Ramón y Cajal grant funded by the AEI, Spanish Research Agency, at the Algebra Department of the University of Sevilla.
Currently, I am looking for permanent positions. Please let me know if you know about any possibilities.
From 2018 to 2025, I was a member of the working group of Prof. Chris Wendl at the Humboldt University Berlin (first as a visiting lecturer and later funded by the DFG, German Research Foundation).
This period was interrupted by two one-semester substitute professorships: 2023 at the Ruprecht-Karls-University Heidelberg in the working group of Prof. Peter Albers and 2024 at the Ruhr-University Bochum in the working group of Prof. Kai Zehmisch.
From September 2014 until 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 with the dissertation "Legendrian knots in surgery diagrams and the knot complement problem".
Office:
Universidad de Sevilla
Facultad de Matemáticas
Dpto. de Álgebra
Reina Mercedes Avenue s/n
41012 Sevilla, Spain
E-mails: kegelmarc87@gmail.com or mkegel@us.es
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.
Currently I am not teaching.
Naageswaran Manikandan, Ph.D. 2025, now postdoc at the MPI Bonn.
Chun-Sheng Hsueh, Ph.D. student funded by the Claussen-Simon Stiftung, in progress.
Supervised master and bachelor students
Working group seminar on geometric topology, HU Berlin, 2024 - 2025.
Berlin-Hamburg seminar on symplectic geometry, HU Berlin, July 4, 2025.
Berlin-Brandenburg Workshop V: Knot Theory and its Application, University Potsdam, Monday 28. April 2025.
Berlin-Brandenburg Workshop IV: Knot Theory and its Application, HU Berlin, Monday 9. December 2024.
Workshop on 4-manifolds and algorithms, University Regensburg, 9. Sep - 13. Sep 2024.
Berlin-Brandenburg Workshop III: Knot Theory and its Application, University Potsdam, Friday, 17 May 2024.
Berlin-Brandenburg Workshop II: Knot Theory and its Application, FU Berlin, Friday, 17 November 2023.
Berlin-Brandenburg Workshop I: Knot Theory and its Application, HU Berlin, Friday, 14 July 2023.
DMV-Jahrestagung 2022, Section S06: Topology and Geometry, Freie Universität Berlin, September 2022.
Reading seminar: Freedman's proof of the 4-dimensional Poincaré conjecture, HU Berlin, WS 2021/22.
Learning Seminar: Computational Topology, University of Cologne, WS 2017/18.
The stabilisation height of fibre surfaces, Lecture series by Filip Misev, University of Cologne, 19 October - 20 October 2017.
Morse Structures on Open Books, Lecture series by Joan Licata, University of Cologne, 17 May - 19 May 2017.
A video illustrating that Haken's knot is isotopic to the unknot. This was created for a lecture on Differential Topology.
Knoty a program to generate interactive 3D animations of Legedrian knots and contact structures. This program was written by Stanislaus Stein during a lecture on Contact Geometry.
Lecture notes for the lecture 4-Manifolds and Kirby calculus.
Lecture notes for the lecture Topology of 3-manifolds.
Carolin Wengler's notes for the lecture Topologie I.
Connect Four on the Klein bottle (Vier gewinnt auf der Kleinschen Flasche)
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