(with Ezgi Kantarci Oguz) A local characterization of crystals for the quantum queer superalgebra, submitted 2018. arXiv:1803.06317
Publications
(with Ezgi Kantarci Oguz) Crystal graphs for shifted tableaux, Séminaire Lotharingien de Combinatoire (to appear as part of FPSAC 2018 conference proceedings). arXiv:1802.07352
(with Danjoseph Quijada) A Pieri rule for key polynomials, Séminaire Lotharingien de Combinatoire (to appear as part of FPSAC 2018 conference proceedings).
(with Nicolle S. Gonzalez) Crystal graphs, key tabloids, and nonsymmetric Macdonald polynomials, Séminaire Lotharingien de Combinatoire (to appear as part of FPSAC 2018 conference proceedings).
(with Anne Schilling) A Demazure crystal construction for Schubert polynomials, Algebraic Combinatorics (to appear). arXiv:1705.09649
Nonsymmetric Macdonald polynomials and a refinement of Kostka--Foulkes polynomials, Transactions of the American Mathematical Society (to appear). arXiv:1703.02466
(with Dominic Searles) Kohnert tableaux and a lifting of quasi-Schur functions, Journal of Combinatorial Theory, Series A 156 (2018), 85--118. arXiv:1609.03507
Shifted dual equivalence and Schur P-positivity, J. Comb. 9 (2018), no. 2, 279--308. arXiv:1402.2570
Tableau models for Schubert polynomials, Séminaire Lotharingien de Combinatoire 78B (2017), Article #12, 12pp.
(with Dominic Searles) Schubert polynomials, slide polynomials, Stanley symmetric functions and quasi-Yamanouchi pipe dreams, Adv. in Math. 306 (2017), 89--122. arXiv:1603.09744
Dual equivalence graphs I: A new paradigm for Schur positivity, Forum Math. Sigma 3 (2015), e12, 33 pp. arXiv:1506.03798
(with Noah Forman and Jim Pitman) The quantile transform of a simple walk, Electron. J. Probab. 20 (2015), no. 90, 39 pp. arXiv:1307.4967
(with Sara Billey) Affine dual equivalence and k-Schur functions, J. Comb. 3 (2012), no. 3, 343--399. arXiv:1201.2128
(with Persi Diaconis and K. Soundararajan) Riffle shuffles with biased cuts, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012), 445--456, Discrete Math. Theor. Comput. Sci. Proc., AR, Assoc. Discrete Math. Theor. Comput. Sci., Nancy, 2012. arXiv:1112.2650
(with Peter McNamara) A Pieri rule for skew shapes, Journal of Combinatorial Theory, Series A 118 (2011), 277--290. arXiv:0908.0345
(with Persi Diaconis and K. Soundararajan) A rule of thumb for riffle shuffles, Ann. Appl. Probab. 21 (2011), no. 3, 843--875. arXiv:0908.3462
Cyclic derangements, Electronic Journal of Combinatorics 17 (2010), no. 1, Research Paper 163, 14 pp. arXiv:1002.3138
(with Peter McNamara) A Pieri rule for skew shapes, 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010), 133--144, Discrete Math. Theor. Comput. Sci. Proc., AJ, Assoc. Discrete Math. Theor. Comput. Sci., 2010. arXiv:0908.0345
(with Adriano Garsia) A kicking basis for two column Garsia-Haiman modules, 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009), 103--114, Discrete Math. Theor. Comput. Sci. Proc., AJ, Assoc. Discrete Math. Theor. Comput. Sci., 2009. arXiv:0905.2333
(with Persi Diaconis and K. Soundararajan) Riffle shuffles of a deck with repeated cards, 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009), 89--102, Discrete Math. Theor. Comput. Sci. Proc., AJ, Assoc. Discrete Math. Theor. Comput. Sci., 2009. arXiv:0905.4698
A combinatorial realization of Schur-Weyl duality via crystal graphs and dual equivalence graphs, 20th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2008), 141--152, Discrete Math. Theor. Comput. Sci. Proc., AJ, Assoc. Discrete Math. Theor. Comput. Sci., 2008. arXiv:0804.1587
A generalized major index statistic, Seminaire Lotharingien de Combinatoire 60 (2008), Art. B60c, 13 pp. (electronic). arXiv:0807.0433
Dual equivalence graphs, ribbon tableaux and Macdonald polynomials. Ph.D. Thesis, UC Berkeley, 2007;
recipient of the 2007 Herb Alexander Prize for outstanding dissertations in pure mathematics at UC Berkeley. PDF