Andreas Thom

activity

20242026

collaborators

8 papers

math.OA2026

Trace-norm rigidity for reduced products of unitary groups and matrix algebras

Ben De Bondt, Andreas Thom

We study homomorphisms, with a focus on isomorphisms, between the tracial metric reduced products of finite dimensional unitary groups and of matrix algebras. A variant of Ulam sta…

math.GR2026

On prime endomorphisms of the free group of rank two

Andreas Thom

We study prime endomorphisms of the free group $F_{2}$ . The main results provide lower and upper bounds for the logarithmic density $I^´_{np}$ of non-prime endomorphisms: $$…

math.GR2026

Unitary representations and von Neumann's continuous geometries

Friedrich Martin Schneider, Andreas Thom

We prove that the unit group of a non-discrete irreducible, continuous ring, in the sense of John von Neumann, does not admit any non-trivial unitary representation continuous with…

math.MG2026

On planar sections of the dodecahedron

Andreas Thom

In the analysis of three-dimensional biological microstructures such as organoids, microscopy frequently yields two-dimensional optical sections without access to their orientation…

math.GR2025

The anabelian restricted Burnside problem

Andreas Thom

Let $n, d \in N$ and $w \in F_{n}$ be non-trivial. We prove that the relatively free group of rank $d$ in the variety defined by the group law $w$ has a largest anabel…

math.GR2025

Quadratic maps between non-abelian groups

Asgar Jamneshan, Andreas Thom

Gowers and Hatami initiated the inverse theory for the uniformity norms $U^{k}$ of matrix-valued functions on non-abelian groups by proving a $1%$ -inverse theorem for the $U^{2}$ -norm…