Abstract The Modular Isomorphism Problem asks if an isomorphism of group algebras of two
finite p-groups G and H over a field of characteristic p, implies an isomorphism of the groups …

This is an abridged version of our Habilitation thesis. In these notes, we aim to summarize
our research interests and achievements as well as motivate what drives our work …

We show that in a finite tensor category, the tensor product property holds for support
varieties if and only if it holds between indecomposable periodic objects. We apply this to …

It is easy to find algebras T∈ C in a finite tensor category C that naturally come with a lift to a
braided commutative algebra T∈ Z (C) in the Drinfeld center of C. In fact, any finite tensor …

Abstract Let B⊂ A be a left or right bounded extension of finite dimensional algebras. We
use the Jacobi-Zariski long nearly exact sequence to show that B satisfies Han's conjecture …

In this paper, we calculate the complete Tamarkin Tsygan calculus for gentle algebras. For
this we give a complete description of the structure of the Hochschild cohomology ring of a …

We introduce the notion of quantum-symmetric equivalence of two connected graded
algebras, based on Morita–Takeuchi equivalences of their universal quantum groups, in the …

arXiv:2206.14645v1 [math.NT] 29 Jun 2022 Page 1 arXiv:2206.14645v1 [math.NT] 29 Jun
2022 REAL PROJECTIVE GROUPS ARE FORMAL AMBRUS PÁL AND GEREON QUICK …

Abstract A modular category CC gives rise to a differential graded modular functor, that is, a
system of projective mapping class group representations on chain complexes. This …

We present techniques for computing Gerstenhaber brackets on Hochschild cohomology of
general twisted tensor product algebras. These techniques involve twisted tensor product …