Preprints
- Computational aspects of Calogero-Moser spaces
With C. Bonnafé. [arXiv], 2022. - Wreath Macdonald polynomials at q=t as characters of rational Cherednik algebras
With D. Mathiä. [arXiv], 2021. - On parabolic subgroups of symplectic reflection groups
With G. Bellamy and J. Schmitt. [arXiv], 2021. - Cores of graded algebras with triangular decomposition (will be updated!)
With G. Bellamy. [arXiv], 2017.
Books
- Introduction to Soergel bimodules
RSME Springer Series, Vol. 5, 588pp (2020). With B. Elias, S. Makisumi, and G. Williamson. [Springer], [MR], [Erratum+more].
Papers
All papers are peer-reviewed. I’m maintaining an erratum.
- Cellularity of endomorphism algebras of tilting objects
Adv. Math. (2022, to appear). With G. Bellamy. [Journal], [arXiv] - Towards the classification of symplectic linear quotient singularities admitting a symplectic resolution
Math. Z. 300 (2022), no. 1, 661–681. With G. Bellamy and J. Schmitt. [arXiv], [Journal], [MR] - Highest weight theory for finite-dimensional graded algebras with triangular decomposition
Adv. Math. 330 (2018), 361–419. With G. Bellamy. [arXiv], [Journal], [MR] - Blocks in flat families of finite-dimensional algebras
Pac. J. Math. 295 (2018), No. 1, 191–240. [arXiv], [Journal], [MR] - 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. [arXiv], [Journal], [MR] - Restricted rational Cherednik algebras
EMS Ser. Congr. Rep., Representation theory – current trends and perspectives (2017), 681–745. [arXiv], [Journal], [MR] - Cuspidal Calogero–Moser and Lusztig families for Coxeter groups
J. Algebra 462 (2016), 197–252. With G. Bellamy. [arXiv], [Journal], [MR] - Decomposition matrices are generically trivial
Int. Math. Res. Not. (2016), no. 7, 2157–2196. [arXiv], [Journal], [MR] - CHAMP: A Cherednik Algebra Magma Package
LMS J. Comput. Math. 18 (2015), no. 1, 266–307. [arXiv], [Journal], [MR] - A counter-example to Martino’s conjecture about generic Calogero–Moser families
Algebr. Represent. Theory 17 (2014), no. 5, 1323–1348. [arXiv], [Journal], [MR]
Expository
- Geometry and representation theory associated to symplectic reflection groups
Oberwolfach Reports, No. 38/2021 (Workshop “Computational Group Theory”). [Report]
Software
- My mathematical Julia packages.
- CHAMP: A Cherednik Algebra Magma Package.
Software package based on Magma for computations in rational Cherednik algebras (2010–2021). Indexed in swMATH as sw08494.
Data
See my data page.