Research

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My research interests include representation theory and algebraic combinatorics, with a focus on the following topics:

  • Representation theory of symmetric groups and Lie algebras.
  • Tableau combinatorics and canonical bases for quantum groups.
  • Categorification and diagrammatic algebra.

Preprints:

  1. R. Muth, L. Speyer and L. Sutton, Decomposable Specht modules indexed by bihooks II, (submitted), arXiv
  2. D. Abbasian, L. Difulvio, R. Muth, G. Pasternak, I. Sholtes and F. Sinclair, Cuspidal ribbon tableaux in affine type A, 37 pp., (submitted), arXiv
  3. D. Florentino, E. Moy and R. Muth, Cooperative half-guards in art galleries, 16 pp., (submitted), arXiv
  4. A. Kleshchev and R. Muth, Schurifying quasi-hereditary algebras, 48 pp., (submitted), arXiv

Papers:

  1. A. Iams, H. Johnston and R. Muth, Searching for quicksand ideals in partially ordered sets, Australasian Journal of Combinatorics 79(2) (2021), 27 pp., https://ajc.maths.uq.edu.au/pdf/79/ajc_v79_p256.pdf, arXiv
  2. A. Kleshchev and R. Muth, Based quasi-hereditary algebras, Journal of Algebra 558 (2020), 18 pp., https://doi.org/10.1016/j.jalgebra.2019.04.034, arXiv
  3. A. Kleshchev and R. Muth, Generalized Schur algebras, Algebra & Number Theory 14 (2020), 44 pp., https://doi.org/10.2140/ant.2020.14.501, arXiv
  4. R. Muth, Super RSK correspondence with symmetry, Electronic Journal of Combinatorics 26(2) (2019), #P2.27, 26 pp., https://doi.org/10.37236/8150, arXiv
  5. A. Kleshchev and R. Muth, Affine zigzag algebras and imaginary strata for KLR algebras, Transactions of the American Mathematical Society 371 (2019), 44 pp., https://doi.org/10.1090/tran/7464, arXiv
  6. R. Muth, Graded skew Specht modules and cuspidal modules for Khovanov-Lauda-Rouquier algebras of affine type A, Algebras and Representation Theory 22 (2018), 32 pp., https://doi.org/10.1007/s10468-018-9808-2, arXiv
  7. A. Kleshchev and R. Muth, Stratifying KLR algebras of affine ADE types, Journal of Algebra 475 (2017), 37 pp., https://doi.org/10.1016/j.jalgebra.2016.07.006, arXiv
  8. A. Kleshchev and R. Muth, Imaginary Schur-Weyl duality, Memoirs of the American Mathematical Society 245 (2017), no. 1157, xvii, 83 pp., arXiv