62 citations · 131 across the 20 of their papers we have counts for
25 papers
Schubert geometry and combinatorics
Alexander Woo, Alexander Yong
This chapter combines an introduction and research survey about Schubert varieties. The theme is to combinatorially classify their singularities using a family of polynomial ideals…
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…
Springer fibers and the Delta Conjecture at
Sean T. Griffin, Jake Levinson, Alexander Woo
We introduce a family of varieties , which we call the \emph{-Springer varieties}, that generalize the type A Springer fibers. We give an explicit presentation of the…
Gröbner bases, symmetric matrices, and type C Kazhdan-Lusztig varieties
Laura Escobar, Alex Fink, Jenna Rajchgot +1
We study a class of combinatorially-defined polynomial ideals which are generated by minors of a generic symmetric matrix. Included within this class are the symmetric determinanta…
The Nash blow-up of a cominuscule Schubert variety
Edward Richmond, William Slofstra, Alexander Woo
We compute the Nash blow-up of a cominuscule Schubert variety. In particular, we show that the Nash blow-up is algebraically isomorphic to another Schubert variety of the same Lie…
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…