Publications

Preprints/In preparation

  1. Introduction to Soergel bimodules (with B. Elias, S. Makisumi, and G. Williamson).
    In preparation and to appear in Springer RSME (2019).
  2. Calogero–Moser families and cellular characters: computational aspects (with C. Bonnafé).
    In preparation (2019).
  3. Cores of graded algebras with triangular decomposition (with G. Bellamy).
    Preprint (2017).

Published

  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. CHAMP: A Cherednik Algebra Magma Package.
    Software package based on Magma for computations in rational Cherednik algebras. Indexed in swMATH as sw08494.

Databases

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

(Note: I’ll update both databases with the next CHAMP update)

Lecture notes

 

Last updated: May 31, 2019 at 10:30 am