Work group (AGT)

Work group (AGT)#

Note

We have a work group seminar Representation Theory and Beyond.

Members#

  1. G. Iezzi (Postdoc)

  2. R. Paegelow (Postdoc)

  3. L. Rogel (Postdoc)

  4. F. Mäurer (PhD): Algorithmic aspects of tensor categories

  5. E. Thorn (PhD): Cellularity from a categorical perspective

  6. T. Bürger (Master’s): Partial resolutions of symplectic linear quotient singularities via blowups

Output#

Papers#

Group members are in bold letters. Superscript numerals refer to grant numbers and indicate that the output was supported by, or contributed to, the corresponding grant.

  1. Bellamy, G., Schmitt, J. & Thiel, U. (2022). Towards the classification of symplectic linear quotient singularities admitting a symplectic resolution. Math. Z. 300, no. 1, 661–681.4 [DOI]

  2. Belotti, M., Joswig, M., Meroni, C., Schleis, V. & Schmitt, J. (2023). Algebraic and geometric computations in OSCAR, SIAM News, 56, no. 7, 9–10.4

  3. Bellamy, G., Schmitt, J. & Thiel, U. (2023). On parabolic subgroups of symplectic reflection groups. Glasg. Math. J. 65, no. 2, 401–413.4 [DOI]

  4. Debus, S. & Metzlaff, T. (2026). Additive and Multiplicative Coinvariant Spaces of Weyl Groups in the Light of Harmonics and Graded Transfer. J. Algebra, 690, 806–831.2 4 [DOI]

  5. Decker, W., Ramesh, L., & Schmitt, J. (2025). Invariant theory. The computer algebra system OSCAR—Algorithms and examples (Algorithms and Computational Mathematics, Vol. 32, pp. 297–331). Springer.4 [DOI]

  6. Elias, B., Rogel, L. & Tubbenhauer, D. (2025). Idempotents, traces, and dimensions in Hecke categories.5 [arXiv]

  7. Iezzi, G. (2026). Linear degenerations of Schubert varieties. [arXiv]

  8. Mathiä, D. & Thiel, U. (2022). Wreath Macdonald polynomials at q=t as characters of rational Cherednik algebras. Trans. Amer. Math. Soc. 375, 8945–8968. [DOI]

  9. Mäurer, F. & Thiel, U. (2024). Computing the center of a fusion category.5 [arXiv]

  10. Mäurer, F., Thiel, U. & Vercleyen, G. (2025). F-symbols and R-symbols for the Drinfeld center of the Haagerup subfactor.6 [arXiv]

  11. Metzlaff, T. (2023). On symmetry adapted bases in trigonometric optimization. J. Symbolic Comput., 127, Article 102369. 2 4 [DOI]

  12. Rogel, L. & Thiel, U. (2026). The center of the asymptotic Hecke category and unipotent character sheaves. Represent. Theory (to appear).5 [arXiv]

  13. Schmitt, J. (2024). Homogeneous Khovanskii bases and MUVAK bases.4 [arXiv]

  14. Schmitt, J. (2024). The class group of a minimal model of a quotient singularity. Bull. Lond. Math. Soc. 56, no. 9, 2777–2793.4

Software and Data#

  1. Mäurer, F. (2021-). TensorCategories.jl.5 6 [DOI] · [Github]

  2. Mäurer, F. (2025). F-Symbols for the Double of the Haagerup fusion category.6 [Github]

  3. Schmitt, J. (2021). Matrix models of exceptional symplectic reflection groups.4 [DOI] · [Github]

  4. Schmitt, J.. Linear quotients (OSCAR contribution).4 [OSCAR]

  5. Schmitt, J.. Invariant theory of finite groups (OSCAR contribution).4 [OSCAR]

  6. Schmitt, J. (2024). Computing Cox rings of linear quotients (OSCAR tutorial).4 [Github]

Theses#

PhD#

  • Mathiä, D. (2022). Wreath combinatorics in the context of restricted rational Cherednik algebras. [DOI]

  • Rogel, L. (2025). Asymptotic Hecke Categories.5 [DOI]

  • Schmitt, J. (2023). On Q-factorial terminalizations of symplectic linear quotient singularities.4 [DOI]

Master’s#

  • Brendel, C. (2025). A proof of coherent duality via techniques from condensed mathematics.

  • Duc, Q.L. (2021). The algebra of distributions on an affine group scheme

  • Koenen, C. (2025). Computing in Drinfeld–Hecke algebras

  • Linke, T. (2023). Cell theory of monoids and its categorification

  • Mäurer, F. (2022). Developing a category theory framework in Julia

  • Rogel, L. (2021). Monoidal categories of equivariant coherent sheaves on finite sets

  • Shejwalkar, S. (2026): Topological realizations of absolute Galois groups following Kucharczyk–Scholze

  • Thorn, E. (2021). Cellular algebras arising from highest weight categories

Bachelor’s#

  • Albert, M. (2022). On the computation of Calogero–Moser cellular characters

  • Bürger, T. (2024). The Shephard–Todd–Chevalley–Serre Theorem. [URL]

  • Hauck, M. (2022). The Kronecker–Weber theorem

  • Schmit, T. (2021). Computing in Coxeter groups

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