Work group

Seminar

We have a work group seminar.

Current

  • D. Mathiä (PhD): Wreath combinatorics in the context of restricted rational Cherednik algebras
  • F. Mäurer (PhD: Algorithmic aspects of tensor categories
  • L. Rogel (PhD): Truncated Hecke categories
  • J. Schmitt (PhD): Symplectic quotient singularities
  • E. Thorn (PhD): Cellularity from a categorical perspective
  • M. Walch (PhD): Deep persistent homology and applications in encoding

Output

Papers

  • Mathiä, D. & Thiel, U. (2022). Wreath Macdonald polynomials at q=t as characters of rational Cherednik algebras. Trans. Amer. Math. Soc. (To appear)
  • Bellamy, G., Schmitt, J., & Thiel, U. (2022). Towards the classification of symplectic linear quotient singularities admitting a symplectic resolution. Math. Z., 300(1), 661–681.
  • Bellamy, G., Schmitt, J., & Thiel, U. (2021). On Parabolic Subgroups of Symplectic Reflection Groups. arxiv.org/abs/2112.01268

Software

Former

  1. M. Hauck (Bachelor’s, 2022): The Kronecker–Weber theorem
  2. F. Mäurer (Master’s, 2022): Developing a category theory framework in Julia
  3. M. Albert (Bachelor’s, 2022): On the computation of Calogero–Moser cellular characters
  4. M. Albert (Fachpraktikum, 2022): Implementing Iwahori–Hecke algebras in Julia
  5. Q.L. Duc (Master’s, 2021): The algebra of distributions on an affine group scheme
  6. E. Thorn (Master’s, 2021): Cellular algebras arising from highest weight categories
  7. T. Schmit (Bachelor’s, 2021): Computing in Coxeter groups
  8. L. Rogel (Master’s, 2021): Monoidal categories of equivariant coherent sheaves on finite sets
  9. T. Schmit (Fachpraktikum, 2021): Kombinatorische Algorithmen in Julia
  10. C. Brendel & J. Scheinert (Fachpraktikum, 2021): Spieltheoretische Suchalgorithmen und Implementierung einer Chess-Engine