Ben Salisbury

Ben Salisbury

Professor of Mathematics and Department Chair

Publications

  1. Candidate for the crystal $B(\infty)$ for the queer Lie superalgebra (with T. Scrimshaw), Kyoto J. Math. 62 (2022), no. 2, 377–401. FPSAC Extended Abstract: Proceedings of the 31st International Conference on "Formal Power Series and Algebraic Combinatorics" (Ljubljana), Sém. Lothar. Combin. 82B (2019) Art. 54, 12 pp.
    DOI arXiv FPSAC

  2. Rigged configurations and the $\ast$-involution for generalized Kac–Moody algebras (with T. Scrimshaw), J. Algebra 573 (2021), 148–168. FPSAC Extended Abstract: Proceedings of the 30th International Conference on "Formal Power Series and Algebraic Combinatorics" (Hanover), Sém. Lothar. Combin. 80B (2018), Art. 20, 12 pp.
    DOI arXiv FPSAC

  3. PBW bases and marginally large tableaux in types B and C (with J. Criswell and P. Tingley), Canad. Math. Bull. 62 (2019), no. 1, 37–54. FPSAC Extended Abstract: Proceedings of the 30th International Conference on "Formal Power Series and Algebraic Combinatorics" (Hanover), Sém. Lothar. Combin. 80B (2018), Art. 35, 12 pp.
    DOI arXiv FPSAC

  4. Virtual crystals and Nakajima monomials (with T. Scrimshaw), SIGMA 14 (2018), 103, 19 pages.
    DOI arXiv

  5. Rigged configurations and the $\ast$-involution (with T. Scrimshaw), Lett. Math. Phys. 108 (2018), no. 9, 1985–2007. FPSAC Extended Abstract: Proceedings of the 29th International Conference on "Formal Power Series and Algebraic Combinatorics" (London), Sém. Lothar. Combin. 78B (2017), Art. 34, 12 pp.
    DOI arXiv FPSAC

  6. The weight function for monomial crystals of affine type (with L. James), Comm. Alg. 46 (2018), no. 8, 3622–3641.
    DOI arXiv

  7. Combinatorial descriptions of the crystal structure on certain PBW bases (with A. Schultze and P. Tingley), Transform. Groups 23 (2018), no. 2, 501–525. FPSAC Extended Abstract: Proceedings of the 28th International Conference on "Formal Power Series and Algebraic Combinatorics" (Vancouver), DMTCS proc. BC (2016), 1063–1074.
    DOI arXiv FPSAC

  8. Rigged configurations for all symmetrizable types (with T. Scrimshaw), Electron. J. Combin. 24 (2017), no. 1, #P1.30.
    DOI arXiv

  9. Connecting marginally large tableaux and rigged configurations via crystals (with T. Scrimshaw), Algebr. Represent. Theory. 19 (2016), 523–546.
    DOI arXiv

  10. A combinatorial description of the affine Gindikin-Karpelevich formula of type $A_n^{(1)}$ (with S.-J. Kang, K.-H. Lee, and H. Ryu), Lie Algebras, Lie Superalgebras, Vertex Algebras and Related Topics, Proc. Sympos. Pure Math., vol. 92, Amer. Math. Soc., Providence, RI, 2016, pp. 145–165.
    Link arXiv

  11. A rigged configuration model for $B(\infty)$ (with T. Scrimshaw), J. Combin. Theory Ser. A. 133 (2015), 29–57.
    DOI arXiv

  12. The flush statistic on semistandard Young tableaux, C. R. Math. Acad. Sci. Paris, Ser. I 352 (2014), 367–371.
    DOI arXiv

  13. Combinatorics of the Casselman-Shalika formula in type A (with K.-H. Lee and P. Lombardo), Proc. Amer. Math. Soc. 142 (2014), 2291–2301.
    DOI arXiv

  14. Young tableaux, canonical bases, and the Gindikin-Karpelevich formula (with K.-H. Lee), J. Korean Math. Soc. 51 (2014), no. 2, 289–309.
    DOI arXiv

  15. A combinatorial description of the Gindikin-Karpelevich formula in type A (with K.-H. Lee), J. Combin. Theory Ser. A. 119 (2012), 1081-1094.
    DOI arXiv