Publications

Preprints/In preparation

  1. Calogero–Moser families and cellular characters: computational aspects (with C. Bonnafé).
    In preparation (2020).
  2. Cellularity of endomorphism algebras of tilting objects (with G. Bellamy).
    In preparation (2020).
  3. Cores of graded algebras with triangular decomposition (with G. Bellamy).
    Preprint (2017).

Books

  1. Introduction to Soergel bimodules (with B. Elias, S. Makisumi, and G. Williamson).
    Springer RSME Series, Vol. 5, 572pp (2020). To appear. Final.

Papers

  1. Highest weight theory for finite-dimensional graded algebras with triangular decomposition
    Adv. Math330 (2018) 361–419. With G. Bellamy. Final, Preprint.
  2. Blocks in flat families of finite-dimensional algebras
    Pac. J. Math. 295 (2018), No. 1, 191–240. Final, Preprint.
  3. 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. SchedlerFinalPreprint.
  4. Restricted rational Cherednik algebras
    EMS Ser. Congr. Rep., Representation theory – current trends and perspectives (2017), 681–745. Final, Preprint.
  5. Cuspidal Calogero–Moser and Lusztig families for Coxeter groups
    J. Algebra 462 (2016), 197–252. With G. Bellamy. Final, Preprint.
  6. Decomposition matrices are generically trivial
    Int. Math. Res. Not. (2016), no. 7, 2157–2196. Final, Preprint.
  7. CHAMP: A Cherednik Algebra Magma Package
    LMS J. Comput. Math. 18 (2015), no. 1, 266–307. Final, Preprint.
  8. 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

  1. Magma-UT
    Magma Base System Extension (aka: Magma – the way I want it) (2020)
  2. 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

  1. Calogero–Moser hyperplane arrangements
  2. Representation theory of restricted rational Cherednik algebras

Lecture notes

 

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