Ulrich Thiel bio photo

Ulrich Thiel

Research Fellow, Algebra Group, University of Sydney

Contact Email CV
arXiv MathSciNet Google Scholar Math Genealogy Github
CHAMP RRCA results
VK2UTL

Publications

Overview

Preprints

  1. Highest weight theory for finite-dimensional graded algebras with triangular decomposition (with Gwyn Bellamy)
  2. Blocks in flat families of finite-dimensional algebras

Publications

The main links direct to the published final version, the symbol directs to the arXiv preprint. I also maintain an erratum.

  1. Hyperplane arrangements associated to symplectic quotient singularities (with Gwyn Bellamy and Travis Schedler)
    To appear in the Proceedings of the Polish Algebraic Geometry mini-Semester 2016 (miniPAGES).
    See here for supplementary material, in particular for explicit arrangements.
  2. Cuspidal Calogero–Moser and Lusztig families for Coxeter groups (with Gwyn Bellamy)
    J. Algebra 462 (2016), 197–252
  3. Restricted rational Cherednik algebras
    EMS Ser. Congr. Rep., Representation theory – current trends and perspectives (2016), 681–745
  4. Decomposition matrices are generically trivial
    Int. Math. Res. Not. IMRN (2016), no. 7, 2157–2196
  5. CHAMP: A Cherednik Algebra Magma Package
    LMS J. Comput. Math. 18 (2015), no. 1, 266–307
  6. A counter-example to Martino’s conjecture about generic Calogero–Moser families
    Algebr. Represent. Theory 17 (2014), no. 5, 1323–1348

Software

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

Lecture notes

  1. Magma Kurzeinführung
    Lecture notes for my course given in 2013 and 2014 in Stuttgart (in German)

Theses

  1. On restricted rational Cherednik algebras
    PhD thesis, Technische Universität Kaiserslautern, Jul 2014
    Examiners: Prof. Dr. Gunter Malle, Prof. Dr. Raphaël Rouquier
    Verlag Dr. Hut, Müchen, ISBN 978-3-8439-1674-5, 400 pages
    Most of the content of my thesis is now available in the publications [1,2,3,4,6] listed above
  2. Mackey functors and abelian class field theories
    Diplom thesis, Technische Universität Kaiserslautern
    Examiners: Prof. Dr. Gunter Malle

Notes

Reviews

  1. Left cells of the weighted Coxeter group (Bn~,l~) by M. Qian-qian and J.-Y. Shi (for MathSciNet)
  2. Ordering families using Lusztig’s symbols in type B: the integer case by J. Guilhot and N. Jacon (for MathSciNet)
  3. On some quiver determinantal varieties by J. Fei (for zbMATH)
  4. Lorentzian Coxeter systems and Boyd-Maxwell ball packings by H. Chen and J.-P. Labbé (for zbMATH)
  5. The cells of the affine Weyl group Cn~ in a certain quasi-split case by J.-Y. Shi (for MathSciNet)