Photo credit: Stefan Friedl
I am a Ph.D. student, member of the Berlin Mathematical School, working with Dr. Marc Kegel at Humboldt-Universität zu Berlin funded by the Claussen-Simon-Stiftung.
My research interests lie in the field of geometric topology. I am interesting in the topology of 3- and 4-manifolds.
In preparation:
Gluck twisting along 2-knots with open book complements, joint with Felix Schmäschke
Mutual arc presentations and braided open books, joint with Benjamin Bode
On the detection of knotted spheres by their traces in high dimensions, joint with Valentina Bais, Alessio Di Prisa, Daniel Hartman, Marc Kegel, Alice Merz, Mark Pencovitch, Arunima Ray, Diego Santoro, Paula Truöl, and Laura Wakelin
Submitted:
Handle decompositions and stabilizations of open books (arXiv)
Accepted:
Algorithms in 4-manifold topology, joint with Stefan Bastl, Rhuaidi Burke, Rima Chatterjee, Subhankar Dey, Alison Durst, Stefan Friedl, Daniel Galvin, Alejandro García Rivas, Tobias Hirsch, Cara Hobohm, Marc Kegel, Frieda Kern, Shun Ming Samuel Lee, Clara Löh, Naageswaran Manikandan, Léo Mousseau, Lars Munser, Mark Pencovitch, Patrick Perras, Mark Powell, José Pedro Quintanilha, Lisa Schambeck, David Suchodoll, Martin Tancer, Annika Thiele, Paula Truöl, Matthias Uschold, Simona Veselá, Melvin Weiß, and Magdalina von Wunsch-Rolshoven, to appear in Algebr. Geom. Topol. (arXiv)
Published:
Kirby diagrams of 4-dimensional open books, Proc. Edinb. Math. Soc. (2) 68 (2025), no. 2, 319--347. (arXiv, journal)
Oberwolfach workshop report:
MATRIX-MFO Tandem Workshop: Invariants in Low-Dimensional Topology: Combinatorics, Geometry, and Computation
Upcoming:
December 2025: Workshop on surfaces in 4-manifolds, Regensburg, Germany
October 2025: Conference: Trisections and related topics, CIRM Luminy, France
October 2025: Research School: Trisections and related topics, CIRM Luminy, France
September 2025: LiT III Living in Topology, Pisa, Italy
Past:
July 2025: Workshop: Multisectors, CIRM Luminy, France
June 2025: Lange Nacht der Wissenschaften - Mathematische Spiele, Berlin, Germany
June 2025: Swiss knots, Geneva, Switzerland
May 2025: Georgia International Topology Conference, Athens, GA, USA
March 2025: BTW5: Giroux's Correspondence, Besse, France
February 2025: 20th East Asian Conference on Geometric Topology, Tokyo, Japan
November 2024: Science Slam of the Berlin Clusters of Excellence, Berlin, Germany (Video)
September 2024: Invariants in Low-Dimensional Topology, Oberwolfach, Germany
September 2024: Workshop on 4-manifolds and algorithms, Regensburg, Germany
July 2024: 9th ECM - Mini Symposium on knot theory and low dimensional manifolds, Seville, Spain (Slides)
June 2024: Institut Fourier summer school - Low dimensional topology, Grenoble, France
May 2024: Matemale Spring School - New constructions of exotic 4-manifolds, Matemale, France
May 2024: Berlin-Brandenburg Workshop III: Knot Theory and its Application, Potsdam, Germany
March 2024: Topological and Homological Methods in Group Theory, Bielefeld, Germany
Feburary 2024: Winter Braids XIII - School on braids and low dimensional topology, Montpellier, France (Poster)
January 2024: Neujahrssymposium, Claussen-Simon-Stiftung Hamburg, Germany
November 2023: Berlin-Brandenburg Workshop II: Knot Theory and its Application, FU Berlin, Germany
November 2023: Heidelberg-Strasbourg Symplectic Day, Strasbourg, France
September 2023: Low-dimensional topology workshop, IISER Pune, India
September 2023: Swiss knots, Regensburg, Germany
June 2023: The Nearly Carbon Neutral Geometric Topology Conference, Online (Postcard)
Photo © Claussen-Simon-Stiftung/Sven Wied
Summer Semester 2025: AG Geometric Topology, HU Berlin (together with M. Kegel)
April 2025: Berlin-Brandenburg Workshop V: Knot Theory and its Application (together with T. Andriamanalina, M. Kegel, and N. Manikandan)
December 2024: Berlin-Brandenburg Workshop VI: Knot Theory and its Application (together with T. Andriamanalina, M. Kegel, and N. Manikandan)
Winter Semester 2024/25: Seminar on Heegaard Floer Homology, HU Berlin (together with N. Manikandan)
Winter Semester 2024/25: AG Geometric Topology, HU Berlin (together with M. Kegel)
July 2023: Berlin-Brandenburg Workshop: Knot Theory and its Application (together with M. Kegel, and N. Manikandan)
Header and footer: The Pacific Ocean (Hualien) and the Baltic Sea (Rügen), respectively.