selected publications
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academic article
- A Grobner Basis for the Graph of the Reciprocal Plane. Journal of Commutative Algebra. 12:77-86. 2020
- Governing singularities of symmetric orbit closures. Algebra and Number Theory. 12:173-225. 2018
- Hultman elements for the hyperoctahedral groups. Electronic Journal of Combinatorics. 25. 2018
- Depth in classical Coxeter groups. Journal of Algebraic Combinatorics. 44:645-676. 2016
- Combinatorial Results on (1,2,1,2)-Avoiding GL(p, C) x GL(q, C)-Orbit Closures on GL(p plus q, C) / B. International Mathematics Research Notices. 13148-13193. 2015
- Power sum decompositions of defining equations of reflection arrangements. Journal of Algebraic Combinatorics. 41:365-383. 2015
- Which Schubert varieties are local complete intersections?. Proceedings London Mathematical Society. 107:1004-1052. 2013
- Mask formulas for cograssmannian Kazhdan-Lusztig polynomials. Annals of Combinatorics. 17:151-203. 2013
- Singularities of Richardson varieties. Mathematical Research Letters. 20:391-400. 2013
- A Gröbner basis for Kazhdan-Lusztig ideals. American Journal of Mathematics. 134:1089-1137. 2012
- Presenting the cohomology of a Schubert variety. Transactions of the American Mathematical Society. 363:521-543. 2011
- Interval pattern avoidance for arbitrary root systems. Canadian Mathematical Bulletin. 53:757-762. 2010
- Permutations with Kazhdan-Lusztig polynomial Pid,u(q)=1+qh (with an appendix by Sara Billey and Jonathan Weed). Electronic Journal of Combinatorics. 16:1-32. 2009
- Governing singularities of Schubert varieties. Journal of Algebra. 320:495-520. 2008
- When is a Schubert variety Gorenstein?. Advances in Mathematics. 207:205-220. 2006
- Stick numbers and composition of knots and links. Journal of Knot Theory and and Its Ramifications. 6:149-161. 1997