Yan Alves-Radtke

About Me

I am a Ph.D. student at the Technical University of Berlin, working as a researcher under the supervision of Stefan Felsner.
I obtained both my B.Sc. and my M.Sc. degree in mathematics at the Technical University of Berlin.

Research Interests

I am interested in combinatorial geometry, especially pseudoline arrangements, signotopes, the higher Stasheff-Tamari orders, polytopes, and oriented matroids.

Publications and Preprints

  1. Flip Graph Connectivity for Arrangements of Pseudolines and Pseudocircles
    with Stefan Felsner, Johannes Obenaus, Sandro Roch, Manfred Scheucher, Birgit Vogtenhuber
    arXiv:2310.19711

    In Proceedings of the 2024 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA), pages 4849–4871, 01 2024. DOI: 10.1137/1.9781611977912.172

  2. Triangles in Colored Pseudoline Arrangements
    with Balázs Keszegh, Robert Lauff

    In Proceedings of EuroCG 2025

Conferences and Workshops

  • Discrete Mathematics Days 2026
    Talk: On the Surjectivity of a Map by Kapranov and Voevodsky in Four Dimensions
  • EuroCG 2026
    Talk: On the Surjectivity of a Map by Kapranov and Voevodsky in Four Dimensions
  • EuroCG 2025
    Talk: On Triangles in Colored Pseudoline Arrangements
  • Order and Geometry 2024
  • SODA 2024
    Talk: Flip Graph Connectivity for Arrangements of Pseudolines and Pseudocircles

Theses

  • On the connectivity of the flip-graph of pseudoline arrangements
    Bachelor's thesis at TU Berlin, 2023. PDF
  • Signotopes: Bichromatic Triangles, Pseudoconfigurations and Extensions
    Master's thesis at TU Berlin, 2024. PDF

Miscellaneous

I contributed to the OEIS sequences A007815 and A028441

Office:
Straße des 17. Juni 136
10587 Berlin
Room MA 886
E-mail: alves[at]math.tu-berlin.de