Publications

All books, papers in journals, and papers in conference proceedings are peer-reviewed. Numbers are in chronological order. I’m maintaining an erratum.

Books

9. Introduction to Soergel bimodules
   RSME Springer Series, Vol. 5, 588pp (2020). With B. Elias, S. Makisumi, and G. Williamson. [Book], [MR], [Erratum+more].

Papers in journals

12. Wreath Macdonald polynomials at q=t as characters of rational Cherednik algebras
    Trans. Amer. Math. Soc. (to appear). With D. Mathiä. [arXiv], [Journal]
11. Cellularity of endomorphism algebras of tilting objects
    Adv. Math. 404 (2022), Paper No. 108387. With G. Bellamy. [arXiv], [Journal], [MR]
10. 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]
8. Highest weight theory for finite-dimensional graded algebras with triangular decomposition
   Adv. Math. 330 (2018), 361–419. With G. Bellamy. [arXiv], [Journal], [MR]
7. Blocks in flat families of finite-dimensional algebras
   Pac. J. Math. 295 (2018), No. 1, 191–240. [arXiv], [Journal], [MR]
4. Cuspidal Calogero–Moser and Lusztig families for Coxeter groups
   J. Algebra 462 (2016), 197–252. With G. Bellamy. [arXiv], [Journal], [MR]
3. Decomposition matrices are generically trivial
   Int. Math. Res. Not. (2016), no. 7, 2157–2196. [arXiv], [Journal], [MR]
2. CHAMP: A Cherednik Algebra Magma Package
   LMS J. Comput. Math. 18 (2015), no. 1, 266–307. [arXiv], [Journal], [MR]
1. A counter-example to Martino’s conjecture about generic Calogero–Moser families
   Algebr. Represent. Theory 17 (2014), no. 5, 1323–1348. [arXiv], [Journal], [MR]

Papers in conference proceedings

6. Hyperplane arrangements associated to symplectic quotient singularities
   Phenomenological approach to algebraic geometry, 25–45
   Banach Center Publ., 116, Polish Acad. Sci. Inst. Math., 2018. With G. Bellamy and T. Schedler. [arXiv], [Proceedings],  [MR]
5. Restricted rational Cherednik algebras
   Representation theory—current trends and perspectives, 681–745
   EMS Ser. Congr. Rep., Eur. Math. Soc., 2017. [arXiv], [Proceedings], [MR]

Preprints

• Computational aspects of Calogero-Moser spaces
  With C. Bonnafé. [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.

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
  These are contributions to the OSCAR computer algebra system based on Julia
• 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.