Ben Salisbury

Department Chairperson
Professor
Department of Mathematics
Central Michigan University

Office: Pearce 211

Email: ben DOT salisbury AT cmich DOT edu

Curriculum Vitae    

Kappa Mu Epsilon



Education


Research

My research interests lie in combinatorial representation theory. More specifically, I study combinatorial crystal graphs and their applications.

My profile on MathSciNet (login required), arXiv.org, Google Scholar, and ResearchGate.

[17] Candidate for the crystal $B(-\infty)$ for the queer Lie superalgebra (with T. Scrimshaw), to appear in Kyoto J. Math.
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.
[16] Rigged configurations and the $*$-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.
[15] 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.
[14] Virtual crystals and Nakajima monomials (with T. Scrimshaw), SIGMA 14 (2018), 103, 19 pages.
[13] Rigged configurations and the $*$-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.
[12] 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.
[11] PBW bases and marginally large tableaux in type D (with A. Schultze and P. Tingley), J. Comb. 9 (2018), no. 3, 535–551.
[10] The weight function for monomial crystals of affine type (with L. James), Comm. Alg. 46 (2018), no. 8, 3622–3641.
[9] Counting Anosov graphs (with M. Mainkar and M. Plante), Ars Combin. 141 (2018), 29–51.
[8] Rigged configurations for all symmetrizable types (with T. Scrimshaw), Electron. J. Combin. 24 (2017), no. 1, #P1.30.
[7] Connecting marginally large tableaux and rigged configurations via crystals (with T. Scrimshaw), Algebr. Represent. Theory. 19 (2016), 523–546.
[6] 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.
[5] A rigged configuration model for $B(\infty)$ (with T. Scrimshaw), J. Combin. Theory Ser. A. 133 (2015), 29–57.
[4] The flush statistic on semistandard Young tableaux, C. R. Math. Acad. Sci. Paris, Ser. I 352 (2014), 367–371.
[3] Combinatorics of the Casselman-Shalika formula in type A (with K.-H. Lee and P. Lombardo), Proc. Amer. Math. Soc. 142 (2014), 2291–2301.
[2] Young tableaux, canonical bases, and the Gindikin-Karpelevich formula (withK.-H. Lee), J. Korean Math. Soc. 51 (2014), no. 2, 289–309.
[1] A combinatorial description of the Gindikin-Karpelevich formula in type A (with K.-H. Lee), J. Combin. Theory Ser. A. 119 (2012), 1081–1094.

Contributions to SageMath

One may find my contributions to the Sage(-Combinat) project under the username bsalisbury1 on the Sage Trac server.


Teaching

I have taught a wide range of mathematics courses at Central Michigan University. Detailed information about recent courses can be found on Blackboard (login required). A list of courses taught may be found on my Curriculum Vitae.

Before coming to Central Michigan University, I taught several classes as a graduate student at the University of Connecticut. For information about those courses, please select from the dropdown list below.