Dr. Sarah K Mason
Associate Professor
A. J. Sterge Faculty Fellow
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.

I currently serve on the editorial board of the journal Combinatorial Theory, which was formed by the majority of the JCTA editorial board in September 2020 as a mathematician-owned journal.

Publications and preprints (in reverse chronological order)

  1. Compact formulas for Macdonald polynomials and quasisymmetric Macdonald polynomials (with Corteel, S, Haglund, J, Mandelshtam, O, and Williams, L), submitted for publication

  2. Lifting the Dual Immaculate functions (with Dominic Searles), submitted for publication

  3. Quasisymmetric Power Sums (with Cristina Ballantine, Zajj Daugherty, Angela Hicks, and Elizabeth Niese), to appear in J. Combin. Theory Ser. A

  4. Recent trends in quasisymmetric functions, in Karaali, G., Orellana, R., eds., Recent Trends in Algebraic Combinatorics, Association for Women in Mathematics series, Springer, Cham, (2019): arXiv:2435046.

  5. Dual immaculate quasisymmetric functions expand positively into Young quasisymmetric functions (with Ed Allen and Josh Hallam), J. Combin. Theory Ser. A, 157 (2018), pp. 70-108.

  6. Quasisymmetric $(k,l)$-hook Schur functions (with Elizabeth Niese), Ann. Comb., 22, no. 1 (2018), pp. 167-199.

  7. Skew row-strict quasisymmetric Schur functions (with Elizabeth Niese), J. of Algebraic Combin., 42, no. 3 (2015), pp. 763-791.

  8. Row-strict quasisymmetric Schur functions (with Jeff Remmel), Annals of Combinatorics, 18 (2014), pp. 127-148.

  9. Properties of the nonsymmetric Robinson-Schensted-Knuth algorithm (with James Haglund and Jeff Remmel), J. of Algebraic Combin., 38, no. 2(2013), pp. 285-327.

  10. A graph theoretical approach to solving Scramble Squares puzzles (with Mali Zhang), Involve, 5, no. 3 (2012), pp. 313-325.

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

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

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

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

  15. A decomposition of Schur functions and an analogue of the Robinson-Schensted-Knuth algorithm, Seminaire Lotharingien de Combinatoire Article B57e (2008), 24pp.
Last updated November 2020
by S K Mason.