## 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.

## 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:

### Conferences, workshops and summer schools attended:

- 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