Research

blackboardMy 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. Super RSK correspondence with symmetry, Electronic Journal of Combinatorics 26(2) (2019), #P2.27, 26 pp., PDF
  2. Affine zigzag algebras and imaginary strata for KLR algebras (joint with A. Kleshchev), Transactions of the American Mathematical Society 371 (2019), 44 pp., PDF
  3. Graded skew Specht modules and cuspidal modules for Khovanov-Lauda-Rouquier algebras of affine type A, Algebras and Representation Theory (2018), https://doi.org/10.1007/s10468-018-9808-2,  32 pp., PDF
  4. Stratifying KLR algebras of affine ADE types (joint with A. Kleshchev), Journal of Algebra 475 (2017), 37 pp., PDF
  5. Imaginary Schur-Weyl duality (joint with A. Kleshchev), Memoirs of the American Mathematical Society 245 (2017), no. 1157, xvii, 83 pp., PDF

Preprints:

  1. Based quasi-hereditary algebras (joint with A. Kleshchev), 15 pp., PDF
  2. Generalized Schur algebras (joint with A. Kleshchev), 40 pp., PDF
  3. Schurifying quasi-hereditary algebras (joint with A. Kleshchev), 48 pp., PDF