## Ben Salisbury

Assistant Professor
Department of Mathematics
Central Michigan University

Office: Pearce 206H
Phone: (989) 774-3086

Email: ben DOT salisbury AT cmich DOT edu

Curriculum Vitae

### Research

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

 [13] PBW bases and marginally large tableaux in type D (with A. Schultze and P. Tingley), preprint. [12] Combinatorial descriptions of the crystal structure on certain PBW bases (with A. Schultze and P. Tingley), preprint. [11] Rigged configurations and the $*$-involution (with T. Scrimshaw), preprint. [10] Rigged configurations for all symmetrizable types (with T. Scrimshaw), preprint. [9] Counting Anosov graphs (with M. Mainkar and M. Plante), to appear in Ars Combin. [8] 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. [7] Combinatorial descriptions of the crystal structure on certain PBW bases (extended abstract) (with A. Schultze and P. Tingley), DMTCS proc. BC (2016), 1063–1074. [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.

### Contributions to SageMath

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

### Teaching

 At Central Michigan University: Select Spring 2016, Representation Theory of the Symmetric Group (MTH 527) Fall 2015, Modern Algebra II (MTH 525) Fall 2015, Honors Calculus I (MTH 132H) Summer 2015, p-adic Numbers (MTH 696C) Spring 2015, Combinatorics II (MTH 678) Fall 2014, Theory of Associative Rings (MTH 625) Fall 2014, Linear Algebra and Matrix Theory (MTH 223) Summer 2014, History of Advanced Mathematics (MTH 673) Spring 2014, Calculus III (MTH 233) Fall 2013, Calculus II (MTH 133) At the University of Connecticut: Select Fall 2011, Elementary Differential Equations (Math 2410) Spring 2010, Elementary Differential Equations (Math 2410) Fall 2010, Honors Multivariable Calculus (Math 2130) Spring 2010, Calculus II, Discussion (Math 1132) Fall 2009, Calculus I, Discussion (Math 1131) Spring 2009, Calculus II (Math 1132) Fall 2008, Calculus I (Math 1131) Spring 2008, Problem Solving (Math 1020) Fall 2007, Problem Solving (Math 1020)