62 citations · 131 across the 20 of their papers we have counts for
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The shallow permutations are the unlinked permutations
Alexander Woo
Diaconis and Graham studied a measure of distance from the identity in the symmetric group called total displacement and showed that it is bounded below by the sum of length and re…
Hultman elements for the hyperoctahedral groups
Alexander Woo
Hultman, Linusson, Shareshian, and Sjöstrand gave a pattern avoidance characterization of the permutations for which the number of chambers of its associated inversion arrangement…
Tropicalization, symmetric polynomials, and complexity
Alexander Woo, Alexander Yong
D. Grigoriev-G. Koshevoy recently proved that tropical Schur polynomials have (at worst) polynomial tropical semiring complexity. They also conjectured tropical skew Schur polynomi…
Specht Polytopes and Specht Matroids
John D. Wiltshire-Gordon, Alexander Woo, Magdalena Zajaczkowska
The generators of the classical Specht module satisfy intricate relations. We introduce the Specht matroid, which keeps track of these relations, and the Specht polytope, which als…
Depth in classical Coexter groups
Eli Bagno, Riccardo Biagioli, Mordechai Novick +1
The depth statistic was defined by Petersen and Tenner for an element of an arbitrary Coxeter group in terms of factorizations of the element into a product of reflections. It can…
Combinatorial results on (1,2,1,2)-avoiding -orbit closures on
Alexander Woo, Benjamin J. Wyser
Using recent results of the second author which explicitly identify the "-avoiding" -orbit closures on the flag manifold $GL(p+…