Research

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

  • Representation theory of symmetric groups and algebraic groups.
  • Tableau combinatorics and canonical bases for quantum groups.
  • Representation theory of Khovanov-Lauda-Rouquier algebras.

Papers:

  1. Based quasi-hereditary algebras (j/w A. Kleshchev), Journal of Algebra 558 (2020), 18 pp., https://doi.org/10.1016/j.jalgebra.2019.04.034, arXiv
  2. Generalized Schur algebras (j/w A. Kleshchev), Algebra & Number Theory 14 (2020), 44 pp., https://doi.org/10.2140/ant.2020.14.501, arXiv
  3. Super RSK correspondence with symmetry, Electronic Journal of Combinatorics 26(2) (2019), #P2.27, 26 pp., https://doi.org/10.37236/8150, arXiv
  4. Affine zigzag algebras and imaginary strata for KLR algebras (j/w A. Kleshchev), Transactions of the American Mathematical Society 371 (2019), 44 pp., https://doi.org/10.1090/tran/7464, arXiv
  5. 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
  6. Stratifying KLR algebras of affine ADE types (j/w A. Kleshchev), Journal of Algebra 475 (2017), 37 pp., https://doi.org/10.1016/j.jalgebra.2016.07.006, arXiv
  7. Imaginary Schur-Weyl duality (j/w A. Kleshchev), Memoirs of the American Mathematical Society 245 (2017), no. 1157, xvii, 83 pp., arXiv

Preprints:

  1. Schurifying quasi-hereditary algebras (j/w A. Kleshchev), 48 pp., arXiv

With students:

  1. Cuspidal ribbon tableaux in affine type A (j/w D. Abbasian, L. Difulvio, G. Pasternak, I. Sholtes and F. Sinclair), 37 pp., arXiv
  2. Searching for quicksand ideals in partially ordered sets (j/w A. Iams and H. Johnston), 22 pp., arXiv
  3. Cooperative half-guards in art galleries (j/w D. Florentino and E. Moy), 16 pp., arXiv