My primary research interests are (1) algebraic and enumerative combinatorics, particularly connections with permutations, tableaux, and representation theory; and (2) mathematics education, particularly outreach to K-12 teachers and support for K-16 learners.

• A pdf version of my CV
• Schensted Algorithm demos by my student Dave Goggin

• Equivalence Classes of Permutations under Various Relations Generated by Constrained Transpositions (with S. Linton, J. Propp, J. West), Journal of Integer Sequences 15 (2012), Article 12.9.1. Earlier preprint is arXiv:1111.3920 [math.CO].
  
  
• Equivalence Relations of Permutations Generated by Constrained Transpositions (with S. Linton, J. Propp, J. West), Disc. Math. & Theoretical Comp. Sci. Proceedings, 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010), 2010.
  
  
• A two-dimensional pictorial presentation of Berele's insertion algorithm for symplectic tableaux (with I. Terada). Electronic Journal of Combinatorics, Volume 12(1), 2005, R4.
  
  
• The Lattice of Threshold Graphs (with Russ Merris), J. Ineq. Pure & Appl. Math (JIPAM) vol. 6, #1 (2005)
  
  
• A Schensted insertion for tensor powers of the Weil representation, accepted as a poster at FPSAC 2002, Melbourne.
  
  
• Complementary Algorithms for Tableaux (with Frank Sottile, Jeff Stroomer, and Julian West). Journal of Combinatorial TheoryA 96, 127--161 (2001). Available in postscript or tarred and gzipped .
  
  
• Jeux de tableaux (With F. Sottile, J. Stroomer, J. West). Formal Power Series and Algebraic Combinatorics: Twelfth International Conference, FPSAC'00, Moscow, Russia, June 2000, Proceedings, pp. 332--343.
  
  
• Down-up Algebras (with Georgia Benkart) Journal of Algebra 209 , 3-5--344 (1998) A brief addendum is available.
  
  
• The connection between the Robinson-Schensted correspondence for skew oscillating tableaux and graded graphs. Discrete Math. 139 (1995) 481--485.
  
  
• Applications and Extensions of Fomin's Generalization of the Robinson-Schensted Correspondence to Differential Posets, Ph.D. Thesis, Massachusetts Institute of Technology, 1991. Here's a PDF scan of this.
  
  

• Combinatorial Ergodicity given in the at Algebra seminar, at the University of Connecticut.
  NB: The animations (by Mike LaCroix) run (only?) in versions of adobe acrobat (reader), not in preview, but summary slides viewable in other readers are included for each animation.
  
  
• Combinatorial Ergodicity given at Workshop on Algebraic Combinatorics related to Young diagrams and Statistical Physics, at the International Institute for Advanced Study in Kizugawa-shi, Kyoto, Japan.
  
• Combinatorial Ergodicity given at University of Tokyo, Department of Mathematical Sciences, Tokyo, Japan.
  
  
• Combinatorial Ergodicity in Products of Chains given at SIAM Discrete Math 2012 Conference at Dalhausie University, Halifax, NS, Canada.
  
  
• See-Saw Swap Solitaire given at Gathering for Gardener X, Atlanta, GA, 29 March 2012.
  
  
• A Bijection that Counts: The Robinson-Schensted-Knuth Correspondence at Joint Math Meetings, 5 January 2012.
  
  
• Equivalences relations of permutations generated by constrained transpositions in MIT Combinatorics Seminar, 18 November 2011.
  
  
• More history to appear eventually...!

Math Education Publications and Preprints:

• More recent texts to appear soon...
  
  
• (with Maletsky, E. and seven other authors) Harcourt Math (Grades K--6) Harcourt, Inc., Orlando, 2004.
  
  
• ``Models for fractions'' in Harcourt Math Professional Handbook (Orlando, 2002), pp. PH24--25.
  
  
• The JOMA mathlets project. Journal of Online Mathematics and its Applications 1 (Jan, 2001).