## Preprints/In preparation

- Calogero–Moser families and cellular characters: computational aspects (with C. Bonnafé).

In preparation (2020). - Cellularity of endomorphism algebras of tilting objects (with G. Bellamy).

In preparation (2020). - Cores of graded algebras with triangular decomposition (with G. Bellamy).

Preprint (2017).

## Books

- Introduction to Soergel bimodules (with B. Elias, S. Makisumi, and G. Williamson).

*Springer RSME Series, Vol. 5*, 572pp (2020). To appear. Final.

## Papers

- Highest weight theory for finite-dimensional graded algebras with triangular decomposition

*Adv. Math**.*330 (2018) 361–419. With G. Bellamy. Final, Preprint. - Blocks in flat families of finite-dimensional algebras

*Pac. J. Math.*295 (2018), No. 1, 191–240. Final, Preprint. - Hyperplane arrangements associated to symplectic quotient singularities

*Phenomenological approach to algebraic geometry,*25–45, Banach Center Publ., 116,

*Polish Acad. Sci. Inst. Math., Warsaw,*2018. With G. Bellamy and T. Schedler. Final, Preprint. - Restricted rational Cherednik algebras

*EMS Ser. Congr. Rep.*, Representation theory – current trends and perspectives (2017), 681–745. Final, Preprint. - Cuspidal Calogero–Moser and Lusztig families for Coxeter groups

*J. Algebra*462 (2016), 197–252. With G. Bellamy. Final, Preprint. - Decomposition matrices are generically trivial

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

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

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

## Erratum

I’m maintaining an Erratum.

## Software

- Magma-UT

Magma Base System Extension (aka: Magma – the way I want it) (2020) - CHAMP: A Cherednik Algebra Magma Package.

Software package based on Magma for computations in rational Cherednik algebras (2013–2020). Indexed in swMATH as sw08494.

## Databases

- Calogero–Moser hyperplane arrangements
- Representation theory of restricted rational Cherednik algebras

## Lecture notes

- Algorithmic Algebraic Number Theory. Lecture notes for my course given in 2019/2020 in Kaiserslautern.
- Commutative Algebra. Lecture notes for my course given in 2016/2017 in Stuttgart (in German).
- Magma Kurzeinführung. Lecture notes for my course given in 2013 and 2014 in Stuttgart (in German).

Last updated: July 18, 2020 at 13:23 pm