Papers

Each electronic version below is my copy of the final version of the listed paper. To obtain a copy of the published version of any paper for which an electronic version is listed, please contact me directly.

Enumeration of Pattern-Avoiding Alternating Sign Matrices: An Asymptotic Dichotomy, with Mathilde Bouvel, Rebecca N. Smith, Jessica Striker, and Justin M. Troyka, submitted, arXiv version.
Pattern-Avoiding Fishburn Permutations and Ascent Sequences, preprint, arXiv version.
The 334-Triangle Graph of SL3(Z), with Michaela Polley, Involve, vol. 15, no. 3, pp. 537-546, 2022, published version.
Pattern Avoiding Linear Extensions of Rectangular Posets, with David Anderson, Manda Riehl, Lucas Ryan, Ruth Steinke, and Yuriko Vaughan, Journal of Combinatorics, vol. 9, no. 1, pp. 185-220, 2018, published version.
Defying God: the Stanley-Wilf Conjecture, Stanley-Wilf Limits, and a Two-Generation Explosion of Combinatorics, in A Century of Advancing Mathematics, American Mathematical Society, 2015, electronic version.
Snow Leopard Permutations and their Even and Odd Threads, with Kailee Rubin, Discrete Mathematics and Theoretical Computer Science, vol. 18, no. 2, #5, 2016, published version.
Tilings of Aztec Diamonds, Baxter Permutations, and Snow Leopard Permutations, with Ben Caffrey, Greg Michel, Kailee Rubin, and Jon Ver Steegh, Involve, vol. 8, no. 5, pp. 833-858, 2015, electronic version.
The Jacobi-Stirling Numbers, with George E. Andrews, Wolfgang Gawronski, and Lance L. Littlejohn, Journal of Combinatorial Theory, Series A, vol. 120, pp. 288-303, 2013, electronic version.
From Quasisymmetric Expansions to Schur Expansions via a Modified Inverse Kostka Matrix, with Nicholas A. Loehr and Gregory S. Warrington, European Journal of Combinatorics, vol. 31, pp. 2014-2027, 2010, electronic version.
Legendre-Stirling Permutations, European Journal of Combinatorics, vol. 31, pp. 1735-1750, 2010, electronic version.
Enumerating rc-Invariant Permutations with No Long Decreasing Subsequences, Annals of Combinatorics, vol. 14, pp. 85-101, 2010, electronic version.
The Pfaffian Transform, with Tracale Austin, Hans Bantilan, Isao Jonas, and Paul Kory, Journal of Integer Sequences, vol. 12, Article 09.1.5, 2009, published version.
Restricted Symmetric Permutations, Annals of Combinatorics, vol. 11, pp. 405-434, 2007, electronic version.
Restricted Colored Permutations and Chebyshev Polynomials, Discrete Mathematics, vol. 307, pp. 1792-1800, 2007, electronic version.
Restricted Signed Permutations Counted by the Schroder Numbers, Discrete Mathematics, vol. 306, pp. 552-563, 2006, electronic version.
Bivariate Generating Functions for Involutions Restricted by 3412, with Toufik Mansour, Advances in Applied Mathematics, vol. 36, pp. 118-137, 2006, electronic version.
Restricted Permutations, Fibonacci Numbers, and k-Generalized Fibonacci Numbers, with Toufik Mansour, Integers: The Electronic Journal of Combinatorial Number Theory, vol. 5, article A1, 2005, online version.
231-Avoiding Involutions and Fibonacci Numbers, with Toufik Mansour, Australasian Journal of Combinatorics, vol. 30, pp. 75--84, 2004, electronic version.
Restricted 3412-Avoiding Involutions, Continued Fractions, and Chebyshev Polynomials, Advances in Applied Mathematics, vol. 33, pp. 451-475, 2004, electronic version.
132-Avoiding Two-stack Sortable Permutations, Fibonacci Numbers, and Pell Numbers, with Toufik Mansour, Discrete Applied Mathematics, vol. 143, pp. 72-83, 2004, electronic version.
A Schroder Generalization of Haglund's Statistic on Catalan Paths, with James Haglund, Kendra Killpatrick, and Darla Kremer, Electronic Journal of Combinatorics, vol. 10, article #R16, 2003, online version.
Permutations Which Avoid 1243 and 2143, Continued Fractions, and Chebyshev Polynomials, with Toufik Mansour, Electronic Journal of Combinatorics, vol. 9(2), article #R7, 2003, online version.
A Weight-Preserving Bijection Between Schroder Paths and Schroder Permutations, with Jason Bandlow and Kendra Killpatrick, Annals of Combinatorics, vol. 6, pp. 235-248, 2002, electronic version.
The Generalized Terwilliger Algebra and its Finite Dimensional Modules when d=2, Journal of Algebra, vol. 250, pp. 178-216, 2002, electronic version.
A Generalization of the Terwilliger Algebra, Journal of Algebra, vol. 233, pp. 213-252, 2000, electronic version.