Niklas C. Affolter

I am a research assistent at the Technical University Berlin, at the Department of Geometry and Mathematical Physics, working under the supervision of Boris Springborn.

I'm organizing the X-Student Research Group Combinatorial solutions to discrete integrable systems in the WS22/23. It's an opportunity for students to do their own math research, combining problems from different areas of math.

I spent half a year at ENS Paris (01.03. - 01.09.2022) in the group of Dmitry Chelkak, but now I'm back!

I coorganized the Discrete Geometric Structures workshop 2022, which was great fun.

Contact

TU Berlin, MA 8-3
Strasse des 17. Juni 136
10623 Berlin

Office: MA 861
Email: affolter@math.tu-berlin.de

Research

Fields of interest:

Geometry, discrete differential geometry, discrete integrable systems, applications of pure geometry, discrete statistical physics, combinatorics, cluster algebras, circle patterns, discrete conformal theory

Projects and institutions I am involved in:

• Berlin Mathematical School
• AG Geometry and Mathematical Physics (TU Berlin)
• SFB/Transregio Discretization in Geometry and Dynamics , Project A01
• Friend of the Dimers ANR project

Conferences, workshops and summer schools attended:

• Integrability in Condensed Matter Physics and Quantum Field Theory Les Diablerets (CH), February 3 - 12, 2023
• Conference: Discretization in Geometry and Dynamics Magdeburg, October 10 - 13, 2022
• Discrete Geometric Structures 2022 Wien, Aug/29 - Sep/2, 2022
• DGD days 2021 Landshut, 15 - 17 September 2021
• Oberwolfach Mini-Workshop: Dimers, Ising and Spanning Trees beyond the Critical Isoradial Case online, 15 - 21 November 2020
• Dimers in Combinatorics and Cluster Algebras online, August 3-14, 2020
• FPSAC 2020 online, July 6-24, 2020
• Second meeting of the DIMERS ANR Project Paris, 8-9 octobre 2019, 2019
• Geometry Workshop Strobl, September 2-5, 2019
• Conference "Discretization in Geometry and Dynamics" Doellnsee-Schorfheide, October 8-12, 2018
• Summer School "Generalized Curvature" Lausanne, September 3-7, 2018
• Spring School, Spin Systems: Discrete and Continuous Darmstadt, 19 - 23 March 2018
• Young Investigators Workshop Erfurt, 05.03. - 07.03.2018
• BMS Summer School "Discrete Models in Geometry and Mathematical Physics" Berlin, 11 - 21 September 2017
• SFB Workshop 2017 "DGD Days" Reitenhaslach, October 04-06, 2017
• SFB Workshop 2016 "DGD Days" TU Berlin, October 10-14, 2016
• Fall School "Discrete Geometry and Topology" Graz, September 27 - October 6, 2016

Preprints

• N. Affolter, B. de Tilière, P. Melotti. The Schwarzian octahedron recurrence (dSKP equation) I: explicit solutions arXiv:2208.00239
• N. Affolter, B. de Tilière, P. Melotti. The Schwarzian octahedron recurrence (dSKP equation) II: geometric systems arXiv:2208.00244
• N. Affolter, T. George, S. Ramassamy. Cross-ratio dynamics and the dimer cluster integrable system arXiv:2108.12692
• N. Affolter, M. Glick, P. Pylyavskyy, S. Ramassamy. Vector-relation configurations and plabic graphs arXiv:1908.06959

Publications

• N. C. Affolter. Miquel Dynamics, Clifford Lattices and the Dimer Model, Letters in Mathematical Physics (2021) Open Access // arXiv:1808.04227