Refereed Journal Articles

• Wronskians, cyclic group actions, and ribbon tableaux, Transactions of the American Mathematical Society, to appear.
• 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.
  

Refereed Proceedings

• The Horn recursion for Schur P- and Q- functions: Extended Abstract, with Frank Sottile, Formal Power Series and Algebraic Combinatorics (2006).

Other

• My Ph.D. thesis (2004) comprises my first two papers plus a few odds and ends that aren't published elsewhere. Warning: some parts are not very well written. Read at your own risk. ps pdf
• Two step flag manifolds and the Horn conjecture.
  This manuscript was posted on the arXiv a bit hastily, under duress. As written, it contains a technical error (thanks to Prakash Belkale for pointing this out), which I know how to fix, and who knows: maybe some day I actually will. Since its conception in 2004, the work in this paper has been superceded (see "The recursive nature of cominuscule Schubert calculus"), and so it is unclear whether it will ever be published.

Related Java Applets

• The root game applet. The root game is described in "Vanishing and non-vanishing crietria in Schubert calculus".
• Jeu de taquin applet. A variant of jeu de taquin, described in "Jeu de taquin and a monodromy problem for Wronskians of polynomials".