Dr. Sarah K Mason
Assistant Professor
Department of Mathematics
Wake Forest University

Algebraic combinatorics and
      representation theory

My main research focus is on specializations of Macdonald polynomials. In particular, I am interested in the combinatorial properties of families of polynomials that can by constructed using diagrams such as Young tableaux. For more details about my research, please see my research statement (last updated in the fall of 2008).

Publications and preprints (in reverse chronological order)

  1. A geometric and combinatorial view of weighted voting (with Jason Parsley), submitted for publication

  2. Row-strict quasisymmetric Schur functions (with Jeff Remmel), Annals of Combinatorics, to appear (2012).

  3. A graph theoretical approach to solving Scramble Squares puzzles (with Mali Zhang), Involve, to appear (2012).

  4. Properties of the nonsymmetric Robinson-Schensted-Knuth algorithm (with James Haglund and Jeff Remmel), submitted for publication (2011).

  5. Qsym over Sym has a stable basis (with Aaron Lauve), J. Combin. Theory Ser. A, 118, (2011), pp. 1661-1673.

  6. Refinements of the Littlewood-Richardson Rule (with James Haglund, Kurt Luoto, and Steph van Willigenburg), Trans. Amer. Math. Soc., 363 (2011), pp. 1665-1686.

  7. Quasisymmetric Schur functions (with James Haglund, Kurt Luoto, and Steph van Willigenburg), J. Combin. Theory Ser. A, 118, (2011), pp. 463-490.

  8. An explicit construction of type A Demazure atoms, J. Algebraic Combin. 23 (2009) , pp. 295-313.

  9. A decomposition of Schur functions and an analogue of the Robinson-Schensted-Knuth algorithm, Seminaire Lotharingien de Combinatoire Article B57e (2008), 24pp.

Recent and upcoming presentations

Last updated September 2012
by S K Mason.