Andreas Thom

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20242026

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math.GR2026

Nonsofic wreath products of residually finite groups

Gabor Kun, Andreas Thom

This work builds on the breakthrough of OpenAI in finding the first nonsofic group. We analyze the underlying proof mechanism and find further applications. Let $Γ < G$ be such that…

math.OA2026

$L^{2}$ -cohomology and deformations of the left regular representation

Christoph Gamm, Andreas Thom

We study deformations of unitary representations $I ¨ : G \to U (H)$ whose coefficients lie in the Hilbert-Schmidt ideal $H S (H) \subset B (H)$ . Interesting applications arise for th…

math.GR2026

Sublinear growth of 1-cocycles and uniform convexity

Andreas Thom

Let G be a finitely generated group, let $I ¨ : G \to GL (E)$ be a uniformly bounded $c_{0}$ -representation on a superreflexive Banach space $E$ , and let $b : G \to E$ b…

Nonsofic wreath products of residually finite groups

L2-cohomology and deformations of the left regular representation

Sublinear growth of 1-cocycles and uniform convexity

$L^{2}$ -cohomology and deformations of the left regular representation