Manuscripts

• Rigid matroid categories.
• Universal Plücker coordinates for the Wronski map and positivity in real Schubert calculus, with Steven N. Karp.

Published Journal Articles

• Folding rotationally symmetric tableaux via webs, with Shelley Wu, Annals of Combinatorics, 28 (2024) no. 1, 93–119.
• An identity in the Bethe subalgebra of ℂ[𝔖_n], Procdeedings of the London Mathematical Society, 127 (2023) no. 5, 1247–1267.
• Schubert curves in the orthogonal Grassmannian, with Maria Gillespie and Jake Levinson, Discrete and Computational Geometry 69 (2023), 981–1039.
• Class groups of open Richardson varieties in the Grassmannian are trivial, with Jake Levinson, Journal of Commutative Algebra, 14 (2022), no. 2, 267–275.
• A topological proof of the Shapiro-Shapiro conjecture, with Jake Levinson, Inventiones Mathematicae, 226 (2021), 521–578.
• A crystal-like structure on shifted tableaux, with Maria Gillespie and Jake Levinson, Algebraic Combinatorics, 3 (2020), 693–725.
• Total nonnegativity and stable polynomials, Canadian Mathematical Bulletin, 61 (2018), 836–847.
• A marvellous embedding of the Lagrangian Grassmannian, Journal of Combinatorial Theory, Series A, 155 (2018), 1–26.
• Minimal orbits of promotion, with Donguk Rhee, Electronic Journal of Combinatorics, 24 (2017) no. 1, P1.41.
• The puzzle conjecture for the cohomology of two step flag manifolds, with A. Buch, A. Kresch, and H. Tamvakis, Journal of Algebraic Combinatorics, 44 (2016), 973–1007.
• Wronskians, cyclic group actions, and ribbon tableaux, Transactions of the American Mathematical Society, 365 (2013), 1977–2030.
• Product and puzzle formulae for GL(n) Belkale-Kumar coefficients, with Allen Knutson. Electronic Journal of Combinatorics, 18(1) (2011) no. 1, P76.
• The Wronski map and shifted tableau theory, International Mathematics Research Notices, 2011 (2011) no. 24, 5706–5719.
• Reality and transversality for Schubert calculus in OG(n,2n+1), Mathematical Research Letters, 17 (2010) no. 6, 1041–1046.
• Jeu de taquin and a monodromy problem for Wronskians of polynomials, Advances in Mathematics, 224 (2010) no. 3, 827–862.
• A Littlewood-Richardson rule for Grassmannian permutations, with Frank Sottile, Proceedings of the American Mathematical Society, 137 (2009) no. 6, 1875–1882.
• Puzzles, Tableaux and Mosaics, Journal of Algebraic Combinatorics, 28 (2008) no. 4, 461–480.
• Compression of root systems and the E-sequence, Electronic Journal of Combinatorics, 15 (2008) no. 1, R115.
• The recursive nature of cominuscule Schubert calculus, with Frank Sottile, Advances in Mathematics, 217 (2008) no. 4, 1962–2004.
• On tensor products of polynomial representations, with Stephanie van Willigenburg, Canadian Mathematical Bulletin 51 (2008) no. 4, 584–592.
• A Nullstellensatz for amoebas, Duke Mathematical Journal, 141 (2008) no. 3, 407–445.
• Root games on Grassmannians; Journal of Algebraic Combinatorics, 25 (2007), no. 3, 239–258.
• Vanishing and non-vanishing criteria in Schubert Calculus, International Mathematics Research Notices (2006), 24590, 1–38.
  

Conference Proceedings

• Universal Plücker coordinates for the Wronski map and positivity in real Schubert calculus, with Steven N. Karp, Formal Power Series and Algebraic Combinatorics (2024), accepted.
• Shifted tableaux crystals, with Maria Gillespie and Jake Levinson, Formal Power Series and Algebraic Combinatorics (2018).
• The Horn recursion for Schur P- and Q- functions, with Frank Sottile, Formal Power Series and Algebraic Combinatorics (2006).

Thesis

• My Ph.D. thesis (2004) comprises my first two papers plus a few odds and ends that aren't published elsewhere. ps pdf