Research

My main research focus is in algebraic combinatorics.  In particular, I am interested in the combinatorial properties of families of polynomials that can by constructed using diagrams such as Young tableaux.  My research is supported by an AMS-Simons grant.

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.

Preprints

• Allen, E and Mason, S.  "A combinatorial interpretation of the noncommutative symmetric function analogue of the inverse Kostka matrix" (2023).

Publications

1.  Mason, S and Searles, D.  "The "Young" and "reverse" dichotomy of polynomials," Electron. J. Combin., v29, no. 3 (2022).

2.  Corteel, S, Haglund, J, Mandelshtam, O, Mason, S, and Williams, L, ``Compact formulas for Macdonald polynomials and quasisymmetric Macdonald polynomials." Selecta Math. (N.S.), v28, no. 2  (2022).

3.  Mason, S and Searles, D.  ``Lifting the Dual Immaculate functions."  J. Combin. Theory Ser. A, v184 (2021).

4.  Ballantine, C, Daugherty, Z, Hicks, A, Mason, S, and Niese, E.  ``On quasisymmetric power sums.''  J. Combin. Theory Ser. A, v175 (2020).

5.  Mason, S.K.  ``Recent trends in quasisymmetric functions", in Karaali, G., Orellana, R., eds., Recent Trends in Algebraic Combinatorics, Association for Women in Mathematics series, v16, Springer, Cham (2019).

6.  Allen, E, Hallam, J, and Mason, S.  ``Dual immaculate quasisymmetric functions expand positively into Young quasisymmetric Schur functions.''  J. Combin. Theory Ser. A, v157 (2018).

7.  Mason, S and Niese, E.  ``Quasisymmetric (k,l)-hook Schur functions."  Ann. Comb., v22, no. 1 (2018).

8.  Mason, S and Niese, E.  ``Skew row-strict quasisymmetric Schur functions."  J. Algebraic Combin., v42 (2015).

9.  Mason, S and Remmel, J.  ``Row-strict quasisymmetric Schur functions."  Annals of Combin., v18 (2014).

10.  Haglund, J, Mason, S, and Remmel, J.  ``Properties of the nonsymmetric Robinson-Schensted-Knuth algorithm."  J. of Algebraic Combin., v38, no. 2 (2013).

11.  Mason, S and Zhang, M.  ``A graph theoretical approach to solving Scramble Squares puzzles."  Involve, v5, no. 3 (2012).

12.   Haglund, J, Luoto, K, Mason, S and van Willigenburg, S.  ``Refinements of the Littlewood-Richardson Rule."  Trans. Amer. Math. Soc. v363 (2011).

13.  Lauve, A and Mason, S.  ``Qsym over Sym has a stable basis."  J. Combin. Theory Ser. A v118 (2011).

14.  Haglund, J, Luoto, K, Mason, S, and van Willigenburg, S.  ``Quasisymmetric Schur functions."  J. Combin. Theory Ser. A v118 (2011).

15.   Mason, S.  ``An Explicit Construction of Type A Demazure Atoms."  J. Algebraic Combin. v23 (2009).

16.   Mason, S.  ``A decomposition of Schur functions and an analogue of the Robinson-Schensted-Knuth Algorithm.''  Sem. Lothar. Combin. vB57e (2008).