# Publications

Selected Papers & Recent Work

. On solvability of the first Hochschild cohomology of a finite-dimensional algebra. preprint, 2019.

. Donovan's conjecture, blocks with abelian defect groups and discrete valuation rings. preprint, 2018.

. A Counterexample to the First Zassenhaus Conjecture. Adv. Math., Vol. 339, Pages 599-641, 2018.

. A reduction theorem for $\tau$-rigid modules. Math Z., Vol. 290, Issue 3–4, Pages 1377–1413, 2018.

. On Tate duality and a projective scalar property for symmetric algebras. Pacific J. Math. Vol. 293 (2018), No. 2, 277–300, 2017.

. Blocks with a generalized quaternion defect group and three simple modules over a 2-adic ring. J. Algebra, Volume 456, Pages 294-322, 2016.

. $p$-Adic lifting problems and derived equivalences. J. Algebra, Volume 356, Issue 1, Pages 90-114, 2012.

# Other Publications

. Describing units of integral group rings up to commensurability. J. Pure Appl. Algebra, Volume 219, Issue 7, Pages 2901-2916, 2015.

. The $p$-adic group ring of ${\rm SL}_2(p^f)$. J. Algebra, Volume 410, Pages 421-459, 2014.

. Basic Orders for Defect Two Blocks of $\mathbb Z_p\Sigma_n$. Comm. Algebra, Volume 42, Issue 7, Pages 2890-2907, 2014.

. On the IYB-property in some solvable groups. Arch. Math., Volume 101, Issue 4, Pages 309–318, 2013.

# GAP Code

## The “orders” package

This package allows to compute with orders over the $p$-adic integers, such as $\mathbb Z_p G$ for a finite group $G$. Among other things it can compute indecomposable projective lattices and basic algebras. Most of it was written back in 2009 while I was working on my master’s thesis, but I added functionality over the last few years, as needed for my research.