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

  1. 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

  1. Wreath Macdonald polynomials at q=t as characters of rational Cherednik algebras
    Trans. Amer. Math. Soc. (to appear). With D. Mathiä. [arXiv], [Journal]
  2. Cellularity of endomorphism algebras of tilting objects
    Adv. Math. 404 (2022), Paper No. 108387. With G. Bellamy. [arXiv], [Journal], [MR]
  3. 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]
  4. Highest weight theory for finite-dimensional graded algebras with triangular decomposition
    Adv. Math330 (2018), 361–419. With G. Bellamy. [arXiv], [Journal], [MR]
  5. Blocks in flat families of finite-dimensional algebras
    Pac. J. Math. 295 (2018), No. 1, 191–240. [arXiv], [Journal], [MR]
  6. Cuspidal Calogero–Moser and Lusztig families for Coxeter groups
    J. Algebra 462 (2016), 197–252. With G. Bellamy. [arXiv], [Journal], [MR]
  7. Decomposition matrices are generically trivial
    Int. Math. Res. Not. (2016), no. 7, 2157–2196. [arXiv], [Journal], [MR]
  8. CHAMP: A Cherednik Algebra Magma Package
    LMS J. Comput. Math. 18 (2015), no. 1, 266–307. [arXiv], [Journal], [MR]
  9. 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

  1. 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]
  2. 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

Data

See my data page.