62 citations · 131 across the 20 of their papers we have counts for
11 papers · 1 filter
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…
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…
Governing singularities of symmetric orbit closures
Alexander Woo, Benjamin Wyser, Alexander Yong
We develop interval pattern avoidance and Mars-Springer ideals to study singularities of symmetric orbit closures in a flag variety. This paper focuses on the case of the Levi subg…
Power sum decompositions of defining equations of reflection arrangements
Zach Teitler, Alexander Woo
We determine the Waring rank of the fundamental skew invariant of any complex reflection group whose highest degree is a regular number. This includes all irreducible real reflecti…