# Publications

### Overview

### Preprints

- Highest weight theory for finite-dimensional graded algebras with triangular decomposition (with Gwyn Bellamy)
- Blocks in flat families of finite-dimensional algebras

### Publications

The main links direct to the published final version, the symbol directs to the arXiv preprint. I also maintain an erratum.

- Hyperplane arrangements associated to symplectic quotient singularities (with Gwyn Bellamy and Travis Schedler)

To appear in the**Proceedings of the Polish Algebraic Geometry mini-Semester 2016**(miniPAGES).

See here for supplementary material, in particular for explicit arrangements. - Cuspidal Calogero–Moser and Lusztig families for Coxeter groups (with Gwyn Bellamy)

**J. Algebra**462 (2016), 197–252 - Restricted rational Cherednik algebras

**EMS Ser. Congr. Rep.**,*Representation theory – current trends and perspectives*(2016), 681–745 - Decomposition matrices are generically trivial

**Int. Math. Res. Not. IMRN**(2016), no. 7, 2157–2196 - CHAMP: A Cherednik Algebra Magma Package

**LMS J. Comput. Math.**18 (2015), no. 1, 266–307 - A counter-example to Martino’s conjecture about generic Calogero–Moser families

**Algebr. Represent. Theory**17 (2014), no. 5, 1323–1348

### Software

- CHAMP: A Cherednik Algebra Magma Package

Software package based on Magma for computations in rational Cherednik algebras. Indexed in swMATH as sw08494.

### Lecture notes

- Magma Kurzeinführung

Lecture notes for my course given in 2013 and 2014 in Stuttgart (in German)

### Theses

- On restricted rational Cherednik algebras

PhD thesis, Technische Universität Kaiserslautern, Jul 2014

Examiners: Prof. Dr. Gunter Malle, Prof. Dr. Raphaël Rouquier

Verlag Dr. Hut, Müchen, ISBN 978-3-8439-1674-5, 400 pages

Most of the content of my thesis is now available in the publications [1,2,3,4,6] listed above - Mackey functors and abelian class field theories

Diplom thesis, Technische Universität Kaiserslautern

Examiners: Prof. Dr. Gunter Malle

### Notes

- Tangent spaces of module varieties (prefixed by
*What is a scheme?*)

Notes for three consecutive talks I have given at the University of Stuttgart. - Schnellkurs in l-adischer Kohomologie

Slides of a very quick introduction to l-adic cohomology I have given in our seminar on Cédric Bonnafé’s book*Representations of SL(2,q)*. - Geometry of Schubert varieties

Slides of a talk I have prepared and given together with Chris Spencer at the conference*Sheaves in representation theory*on the Isle of Skye. - Hironaka’s example of a complete but non-projective variety

Notes for a talk I have given in Fall 2007 in Barry Mazur’s class*Theory of Schemes*at Harvard. - The bounded derived category of the category of coherent sheaves on a smooth projective curve

Notes for a talk I have given at the University of Kaiserslautern in 2007.

### Reviews

- Left cells of the weighted Coxeter group (B
_{n}^{~},l^{~}) by M. Qian-qian and J.-Y. Shi (for MathSciNet) - Ordering families using Lusztig’s symbols in type B: the integer case by J. Guilhot and N. Jacon (for MathSciNet)
- On some quiver determinantal varieties by J. Fei (for zbMATH)
- Lorentzian Coxeter systems and Boyd-Maxwell ball packings by H. Chen and J.-P. Labbé (for zbMATH)
- The cells of the affine Weyl group C
_{n}^{~}in a certain quasi-split case by J.-Y. Shi (for MathSciNet)