Ben Salisbury
Associate Professor
Office: Pearce 206H Email: ben DOT salisbury AT cmich DOT edu CMU Algebra and Combinatorics Seminar SageDays@ICERM in Summer 2018!! 
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]  Virtual crystals and Nakajima monomials (with T. Scrimshaw), 2017. 
Journal articles
[13]  Counting Anosov graphs (with M. Mainkar and M. Plante), to appear in Ars Combin. 
[12]  Rigged configurations and the $*$involution (with T. Scrimshaw), to appear in Lett. Math. Phys. 
[11]  The weight function for monomial crystals of affine type (with L. James), to appear in Comm. Alg. 
[10]  PBW bases and marginally large tableaux in types B and C (with J. Criswell and P. Tingley), to appear in Canad. Math. Bull. 
[9]  PBW bases and marginally large tableaux in type D (with A. Schultze and P. Tingley), to appear in J. Comb. 
[8]  Combinatorial descriptions of the crystal structure on certain PBW bases (with A. Schultze and P. Tingley), to appear in Transform. Groups. 
[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 CasselmanShalika 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 GindikinKarpelevich formula (with K.H. Lee), J. Korean Math. Soc. 51 (2014), no. 2, 289–309. 
[1]  A combinatorial description of the GindikinKarpelevich formula in type A (with K.H. Lee), J. Combin. Theory Ser. A. 119 (2012), 1081–1094. 
Conference proceedings
[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. B34, 12 pp. 
[2]  A combinatorial description of the affine GindikinKarpelevich 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: 
