Ben Salisbury
Department Chairperson
Office: Pearce 211 Email: ben DOT salisbury AT cmich DOT edu 
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.
Preprints
[1]  Rigged configurations and the $*$involution for generalized Kac–Moody algebras (with T. Scrimshaw), preprint. 
Journal articles
[15]  Candidate for the crystal $B(\infty)$ for the queer Lie superalgebra (with T. Scrimshaw), to appear in Kyoto J. Math. 
[14]  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. 
[13]  Virtual crystals and Nakajima monomials (with T. Scrimshaw), SIGMA 14 (2018), 103, 19 pages. 
[12]  Rigged configurations and the $*$involution (with T. Scrimshaw), Lett. Math. Phys. 108 (2018), no. 9, 1985–2007. 
[11]  Combinatorial descriptions of the crystal structure on certain PBW bases (with A. Schultze and P. Tingley), Transform. Groups 23 (2018), no. 2, 501–525. 
[10]  PBW bases and marginally large tableaux in type D (with A. Schultze and P. Tingley), J. Comb. 9 (2018), no. 3, 535–551. 
[9]  The weight function for monomial crystals of affine type (with L. James), Comm. Alg. 46 (2018), no. 8, 3622–3641. 
[8]  Counting Anosov graphs (with M. Mainkar and M. Plante), Ars Combin. 141 (2018), 29–51. 
[7]  Rigged configurations for all symmetrizable types (with T. Scrimshaw), Electron. J. Combin. 24 (2017), no. 1, #P1.30. 
[6]  Connecting marginally large tableaux and rigged configurations via crystals (with T. Scrimshaw), Algebr. Represent. Theory. 19 (2016), 523–546. 
[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 (with K.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. 
Conference proceedings
[6]  Candidate for the crystal $B(\infty)$ for the queer Lie superalgebra (extended abstract) (with T. Scrimshaw), Proceedings of the 31st International Conference on "Formal Power Series and Algebraic Combinatorics" (Ljubljana), Sém. Lothar. Combin. 82B (2019), Art. 54, 12 pp. 
[5]  PBW bases and marginally large tableaux in types B and C (extended abstract) (with J. Criswell and P. Tingley), Proceedings of the 30th International Conference on "Formal Power Series and Algebraic Combinatorics" (Hanover), Sém. Lothar. Combin. 80B (2018), Art. 35, 12 pp. 
[4]  Description of crystals for generalized Kac–Moody algebras using rigged configurations (extended abstract) (with T. Scrimshaw), Proceedings of the 30th International Conference on "Formal Power Series and Algebraic Combinatorics" (Hanover), Sém. Lothar. Combin. 80B (2018), Art. 20, 12 pp. 
[3]  Using rigged configurations to model $B(\infty)$ (extended abstract) (with T. Scrimshaw), Proceedings of the 29th International Conference on "Formal Power Series and Algebraic Combinatorics" (London), Sém. Lothar. Combin. 78B (2017), Art. 34, 12 pp. 
[2]  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. 
[1]  Combinatorial descriptions of the crystal structure on certain PBW bases (extended abstract) (with A. Schultze and P. Tingley), Proceedings of the 28th International Conference on "Formal Power Series and Algebraic Combinatorics" (Vancouver), DMTCS proc. BC (2016), 1063–1074. 
One may find my contributions to the Sage(Combinat) project under the username bsalisbury1 on the Sage Trac server.
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.
Friends and collaborators in mathematics: 


Miscellaneous: 
