Publications

I always recommend to read the arXiv version. I put a lot of work into formatting and, not rarely, am rather unhappy with the LaTeX templates enforced by the journals. It also happened that they mess up typesetting in mathematically relevant ways.

Be assures that I keep the arXiv uploads up to date even after a after the journal publication.

  • Second-order rigidity of coned polytope frameworks and the stress-flex conjecture (preliminary)
    with Eleni Pachyli and Roman Prosanov
 [preprint]
  • The canonical form, scissors congruence and adjoint degrees of polytopes
    with Tom Baumbach, Ansgar Freyer and Julian Weigert
 [arXiv]
  • Rigidity of polytopes with edge length and coplanarity constraints
    with Matthias Adrian-Himmelmann and Bernd Schulze
    International Mathematics Research Notices (2026)
 [arXiv]
[link]
  • When do graph covers preserve the clique dynamics of infinite graphs?
    with Anna M. Limbach
    Matemática Contemporânea (2025)
 [arXiv]
[link]
  • On 2-complexes embeddable in 4-space, and the excluded minors of their underlying graphs
    with Agelos Georgakopoulos
 [arXiv]
  • Energies on coned convex polytopes
    with Robert Connelly, Steven J. Gortler and Louis Theran
 [preprint]
  • The stress-flex conjecture
    with Robert Connelly, Steven J. Gortler and Louis Theran
 [arXiv]
  • Kalai’s \(3^d\) conjecture for unconditional and locally anti-blocking polytopes
    with Raman Sanyal
    Proceedings of the AMS (2025)
 [arXiv]
[link]
  • The clique graphs of the hexagonal lattice - an explicit construction and a short proof of divergence
    Discrete Mathematics (2024)
[arXiv]
[open access]
  • Characterizing Clique Convergence for Locally Cyclic Graphs of Minimum Degree \(d\ge 6\)
    with Anna M. Limbach
    Discrete Mathematics (2024)
[arXiv]
[open access]
  • Rigidity, Tensegrity and Reconstruction of Polytopes under Metric Constraints
    International Mathematics Research Notices (2023)
    ★ This paper won the FSEM Post-Doctoral Research Prize 2024 from the University of Warwick
 [arXiv]
[open access]
  • (Random) Trees of Intermediate Volume Growth
    with George Kontogeorgiou
    Random Structures & Algorithms (2025)
    Extended abstract published at Eurocomb (2023)
 [arXiv]
[open access]
[extended abstract]
  • Capturing Polytopal Symmetries by Coloring the Edge-Graph
    Discrete & Computational Geometry (2023)
[arXiv]
[open access]
  • Eigenpolytopes, Spectral Polytopes and Edge-Transitivity
 [arXiv]
  • The Edge-Transitive Polytopes that are not Vertex-Transitive
    with Frank Göring
    Ars Mathematica Contemporanea (2022)
[arXiv]
[link]
  • Symmetric and Spectral Realizations of Highly Symmetric Graphs
 [arXiv]
  • Classification of Vertex-Transitive Zonotopes
    Discrete & Computational Geometry (2021)
[arXiv]
[pdf]
[open access]
  • Geometry and Topology of Symmetric Point Arrangements
    Linear Algebra and its Applications (2021)
[arXiv]
[link]
  • Vertex-Facet Assignments for Polytopes
    with Thomas Jahn
    Contributions to Algebra and Geometry (2020)
[arXiv]
[open access]

Theses

  • PhD Thesis:
    Spectral Realizations of Symmetric Graphs, Spectral Polytopes and Edge-Transitivity.
    ★ This thesis won the dissertation award of TU Chemnitz and was nominated for the Richard Rado Prize 2022.
    [thesis] [slides]
  • Master thesis:
    Notes on \(P(k)\)-graphs and the conjecture of Kotzig.
    [thesis]

Coauthors