Publications

Preprints

  • Cellularity of endomorphism algebras of tilting objects
    With G. Bellamy. [arXiv], 2021.
  • Cores of graded algebras with triangular decomposition (will be updated!)
    With G. Bellamy. [arXiv], 2017.

Books

  1. 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.

  1. Towards the classification of symplectic linear quotient singularities admitting a symplectic resolution
    Math. Z. (2021). With G. Bellamy and J. Schmitt. [arXiv], [Journal]
  2. Highest weight theory for finite-dimensional graded algebras with triangular decomposition
    Adv. Math330 (2018), 361–419. With G. Bellamy. [arXiv], [Journal], [MR]
  3. Blocks in flat families of finite-dimensional algebras
    Pac. J. Math. 295 (2018), No. 1, 191–240. [arXiv], [Journal], [MR]
  4. 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]
  5. Restricted rational Cherednik algebras
    EMS Ser. Congr. Rep., Representation theory – current trends and perspectives (2017), 681–745. [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]

Expository

  • Geometry and representation theory associated to symplectic reflection groups
    Oberwolfach Reports, No. 38/2021 (Workshop “Computational Group Theory”). [Report]

Software

  • JuLie.jl
    An early-stage package for Julia with the goal of providing mathematically sound structures and fast algorithms for things around representation theory, especially algebraic Lie theory and accompanying combinatorics. (2020–)
  • Magma-UT
    Magma Base System Extension (aka: Magma – the way I want it) (2020–2021)
  • 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.