Selected Papers & Recent Work

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

PDF arXiv

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

PDF arXiv journal

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

PDF Code arXiv journal

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

PDF arXiv journal

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

PDF arXiv journal

Other Publications

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

PDF arXiv journal

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

PDF arXiv journal

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

PDF arXiv journal

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

PDF arXiv journal

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.