Publications#

All books, papers in journals, and papers in conference proceedings are peer-reviewed. The numbers are in chronological order by publication date. I’m maintaining an Erratum.

Books#

  1. Introduction to Soergel bimodules
    Elias, B., Makisumi, S., Thiel, U., & Williamson, G. (2020). Springer.
    [DOI] · [MR] · [Erratum+more].

Papers in journals#

  1. The center of the asymptotic Hecke category and unipotent character sheaves
    Rogel, L. & Thiel, U. (2026). Represent. Theory (to appear).
    [arXiv]
  2. Computational aspects of Calogero-Moser spaces
    Bonnafé, C. & Thiel, U. (2023). Selecta Math. (N.S.) 29, no.5, Paper No. 79.
    [DOI] · [arXiv] · [MR]
  3. The rank one property for free Frobenius extensions
    Bellamy, G. & Thiel, U. (2023). C. R. Math. Acad. Sci. Paris 361, 1341–1348.
    [DOI] · [arXiv] · [MR]
  4. On parabolic subgroups of symplectic reflection groups
    Bellamy, G., Schmitt, J. & Thiel, U. (2023). Glasg. Math. J. 65, no. 2, 401–413.
    [DOI] · [arXiv] · [MR]
  5. Wreath Macdonald polynomials at q=t as characters of rational Cherednik algebras
    Mathiä, D. & Thiel, U. (2022). Trans. Amer. Math. Soc. 375, 8945–8968.
    [DOI] · [arXiv] · [MR]
  6. Cellularity of endomorphism algebras of tilting objects
    Bellamy, G. & Thiel, U. (2022). Adv. Math. 404, Paper No. 108387.
    [DOI] · [arXiv] · [MR]
  7. Towards the classification of symplectic linear quotient singularities admitting a symplectic resolution
    Bellamy, G., Schmitt, J. & Thiel, U. (2022). Math. Z. 300, no. 1, 661–681.
    [DOI] · [arXiv] · [MR]
  8. Highest weight theory for finite-dimensional graded algebras with triangular decomposition
    Bellamy, G. & THiel, U. (2018). Adv. Math 330, 361–419.
    [DOI] · [arXiv] · [MR]
  9. Blocks in flat families of finite-dimensional algebras
    Thiel, U. (2018). Pac. J. Math. 295, No. 1, 191–240.
    [DOI] · [arXiv] · [MR]
  10. Cuspidal Calogero–Moser and Lusztig families for Coxeter groups
    Bellamy, G. & Thiel, U. (2016). J. Algebra 462, 197–252.
    [DOI] · [arXiv] · [MR]
  11. Decomposition matrices are generically trivial
    Thiel, U. (2016). Int. Math. Res. Not., no. 7, 2157–2196.
    [DOI] · [arXiv], [MR]
  12. CHAMP: A Cherednik Algebra Magma Package
    Thiel, U. (2015). LMS J. Comput. Math. 18, no. 1, 266–307.
    [DOI] · [arXiv] · [MR]
  13. A counter-example to Martino’s conjecture about generic Calogero–Moser families
    Thiel, U. (2014). Algebr. Represent. Theory 17, no. 5, 1323–1348.
    [DOI] ·[arXiv] · [MR]

Papers in conference proceedings#

  1. Hyperplane arrangements associated to symplectic quotient singularities
    Bellamy, G., Schedler, T. & Thiel, U. (2018). In Phenomenological approach to algebraic geometry (Banach Center Publ., Vol. 116), 25–45, Polish Acad. Sci. Inst. Math.
    [DOI] · [arXiv] · [MR]
  2. Restricted rational Cherednik algebras
    Thiel, U. (2017). In Representation theory—current trends and perspectives (EMS Ser. Congr. Rep.), 681–745, Eur. Math. Soc.
    [DOI] · [MR]

Preprints#

  • F-symbols and R-symbols for the Drinfeld center of the Haagerup subfactor
    Mäurer, F., Thiel, U. & Vercleyen, G. (2025). arXiv preprint arXiv:2601.20012.
    [arXiv]
  • Computing the center of a fusion category
    Mäurer, F. & Thiel, U. (2024). arXiv preprint arXiv:2406.13438.
    [arXiv]
  • Cores of graded algebras with triangular decomposition
    Bellamy, G. & Thiel, U. (2017). arXiv preprint arXiv:1711.00780.
    [arXiv]

Expository#

  • Symplectic singularities
    Thiel, U. (2023). Computeralgebra-Rundbrief, Nr. 73
    [Rundbrief] · [Preprint]
  • Geometry and representation theory associated to symplectic reflection groups
    Thiel, U. (2021). Oberwolfach Reports, No. 38/2021 (Workshop "Computational Group Theory"), 2042–2045.
    [DOI]

Software#

  • Bocses
    Külshammer, J. & Thiel, U. (2017)
    [DOI] · [Github]
  • CHAMP: A Cherednik Algebra Magma Package
    Thiel, U. (2010–2021).
    [DOI] · [Github] · [swMATH]

Data#

  • Calogero–Moser hyperplane arrangements
    Thiel, U. (2017).
    [DOI · [Github]
  • Fundamental invariants of improper symplectic reflection groups
    Thiel, U. (2021).
    [DOI] · [Github]
  • Representation theory of restricted rational Cherednik algebras
    Thiel, U. (2015).
    [DOI] · [Github]