Sebastian Meyer
I am a Ph.D. student at the Institute of Algebra at TU Dresden in the research group of Prof. Dr. Manuel Bodirsky since October 2022.
My research interests are widely spread in mathematics from combinatorics (e.g. graph homomorphisms) to topology (e.g. profinite spaces) and ring theory (e.g. Boolean algebras or topological rings). I am particularly fascinated by dualities in or between different fields, such as the Stone duality, the Pontryagin duality or descriptive complexity theory.
Publications, Preprints
Subject Area: Universal Algebra / Convex Geometry
- Infinitary primitive positive definability over the real numbers with convex relations (ArXiv 2024, Journal version Algebra universalis 2025)
Subject Area: Universal Algebra / Algebraic Topology
- A Dichotomy for Finite Abstract Simplicial Complexes (ArXiv 2024)
-
A topological proof of the Hell-Nešetřil dichotomy (with Jakub Opršal) (ArXiv 2024 preprint, Soda 2025 Conference Version, ArXiv 2025 postprint (recent version) )
Subject Area: Universal Algebra / Group Theory
- Finite Simple Groups in the Primitive Positive Constructability Poset (with Florian Starke) (ArXiv 2024, 2025)
- Primitive Positive Constructions Among Finite Permutation Groups (ArXiv 2026)
Subject Area: Universal Algebra
- Almost Symmetric Linear Arc Monadic Datalog and Transitive Tournaments (with Florian Starke) (ArXiv 2026)