Pavel Turek

Photo of Pavel Turek
Papers

Preprints

  1. Symmetric powers of S(n-1,1) and D(n-1,1) (with Jialin Wang).
    arXiv:2507.15505
  2. Mullineux map: d-balanced partitions and d-runner matrices.
    arxiv:2504.03864
  3. The wreath matrix (with Jan Petr).
    arXiv:2501.07269

Published

  1. Towards odd-sunflowers: temperate families and lightnings (with Jan Petr).
    Combin. Theory, Series A 220 (2026)
    arXiv:2406.18437
  2. Intervals in Dyck paths and the wreath conjecture (with Jan Petr).
    Electron. J. Combin. 32 (2025), no. 4, P4.44
    arXiv:2501.07277
  3. Proof of the plethystic Murnaghan-Nakayama rule using Loehr’s labelled abacus.
    Ann. Comb. 29 (2025), 183–195
    arXiv:2312.02958
  4. Multiplicity-free induced characters of symmetric groups.
    Trans. Amer. Math. Soc. 377 (2024), 8817–8876
    arXiv:2309.07761
  5. The representation ring of SL2(Fp) and stable modular plethysms of its natural module in characteristic p.
    J. Algebra 658 (2024), 686–715
    arXiv:2210.08943
Recent talks
  • Balanced columns of decomposition matrices
    • Algebra Seminar at the University of Birmingham (December 2025)
    • Combinatorics Seminar at the University of Passau (November 2025)
  • Towards odd-sunflowers: temperate families and lightnings
    • Combinatorics Seminar at the University of Birmingham (November 2025)
  • Decomposition columns labelled by d-balanced partitions
    • Darstellungstheorietage, Düsseldorf (November 2025)
      Slides
    • Inclusion, Diversity and Equity in Algebra, Leeds (October 2025)
  • Maps between symmetric powers and applications to symmetric groups
    • Bristol Junior Algebra and Combinatorics Seminar (October 2025)
  • Wreath conjecture: intervals in Dyck paths and the wreath matrix
    • Bristol Combinatorics Seminar (May 2025)
  • The Mullineux map and partitions with arms divisible by d
    • Mathematics Seminar at Royal Holloway, University of London (October 2025)
    • Poster at Modular Lie Theory, York (July 2025)
    • Conference Group Representation Theory, Florence (June 2025)
    • Algebra Seminar at the University of Aberdeen (March 2025)
  • Multiplicity-free induced characters of symmetric groups
    • Pure Mathematics Seminar at the University of East Anglia (February 2025)
  • Schur functors and plethysms in the stable module category of SL2(Fp) in characteristic p
    • Oberseminar Algebra, University of Stuttgart (February 2025)