Dr Ulrich Thiel

F07 - Carslaw Building
The University of Sydney

Telephone 9351 5779

Website Personal website

Biographical details

I completed my PhD in 2014 at the University of Kaiserslautern in Germany under the supervision of Gunter Malle with a topic on rational Cherednik algebras, a mixture of representation theory, algebraic geometry, and computer algebra. Since 2013 already I was a research assistant of Meinolf Geck at the University of Stuttgart in Germany. In 2017 I moved to the University of Sydney as a "Research Fellow in Algebraic Lie Theorie and Algebraic Geometry".

Research interests

I'm really interested in algebraic aspects of any kind, but mainly in representation theory, algebraic geometry, and computer algebra. In a rough sense I'm interested in everything which is even broadly connected to (complex) reflection groups, with one driving force being the spetses program by Broué–Malle–Michel. Most of my work so far is centered around rational Cherednik algebras. Starting from here I also studied more general representation-theoretic questions. I've developed a larger computer package called CHAMP to perform explicit computations in these algebras and their representations.

Teaching and supervision

In 2016 I've given a rather extensive course on commutative algebra at the University of Stuttgart (40 hours of lectures plus 20 hours of exercise classes). In 2013 and 2014 I've given courses on computer algebra (with a more applied character using the computer algebra system Magma).

Awards and honours

2014: Award of the Freundeskreis der TU Kaiserslautern for "outstanding achievements as doctoral student at the department of mathematics"

Selected publications

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Journals

  • Bellamy, G., Thiel, U. (2016). Cuspidal Calogero-Moser and Lusztig families for Coxeter groups. Journal of Algebra, 462, 197-252. [More Information]
  • Thiel, U. (2016). Decomposition Matrices are Generically Trivial. International Mathematics Research Notices, 7, 2157-2196. [More Information]
  • Thiel, U. (2015). Champ: a Cherednik algebra Magma package. LMS Journal of Computation and Mathematics, 18(1), 266-307. [More Information]
  • Thiel, U. (2014). A Counter-Example to Martino's Conjecture About Generic Calogero-Moser Families. Algebras and Representation Theory, 17(5), 1323-1348. [More Information]

Conferences

  • Thiel, U. (2016). Restricted rational Cherednik algebras. Representation Theory - Current Trends and Perspectives, Switzerland: European Mathematical Society Publishing House. [More Information]

2016

  • Bellamy, G., Thiel, U. (2016). Cuspidal Calogero-Moser and Lusztig families for Coxeter groups. Journal of Algebra, 462, 197-252. [More Information]
  • Thiel, U. (2016). Decomposition Matrices are Generically Trivial. International Mathematics Research Notices, 7, 2157-2196. [More Information]
  • Thiel, U. (2016). Restricted rational Cherednik algebras. Representation Theory - Current Trends and Perspectives, Switzerland: European Mathematical Society Publishing House. [More Information]

2015

  • Thiel, U. (2015). Champ: a Cherednik algebra Magma package. LMS Journal of Computation and Mathematics, 18(1), 266-307. [More Information]

2014

  • Thiel, U. (2014). A Counter-Example to Martino's Conjecture About Generic Calogero-Moser Families. Algebras and Representation Theory, 17(5), 1323-1348. [More Information]

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