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

9. 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.

10. Towards the classification of symplectic linear quotient singularities admitting a symplectic resolution
    Math. Z. (2021). With G. Bellamy and J. Schmitt. [arXiv], [Journal]
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]
6. 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]
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]

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.