18 citations · 21 across the 5 of their papers we have counts for
6 papers
The Containment Poset of Type Hessenberg Varieties
Elizabeth Drellich
Flag varieties are well-known algebraic varieties with many important geometric, combinatorial, and representation theoretic properties. A Hessenberg variety is a subvariety of a f…
Geometric combinatorics and computational molecular biology: branching polytopes for RNA sequences
Elizabeth Drellich, Andrew Gainer-Dewar, Heather A. Harrington +3
Questions in computational molecular biology generate various discrete optimization problems, such as DNA sequence alignment and RNA secondary structure prediction. However, the op…
Valid plane trees: Combinatorial models for RNA secondary structures with Watson-Crick base pairs
Frances Black, Elizabeth Drellich, Julianna Tymoczko
The combinatorics of RNA plays a central role in biology. Mathematical biologists have several commonly-used models for RNA: words in a fixed alphabet (representing the primary seq…
A module isomorphism between and
Elizabeth Drellich, Julianna Tymoczko
We give an explicit (new) morphism of modules between and and prove (the known result) that the two modules are isomorphic. Our map ide…
Source Code for Computing Giambelli's Formula for Type Peterson Varieties
Elizabeth Drellich
This document is a companion to the paper "Monk's Rule and Giambelli's Formula for Peterson Varieties of All Lie Types." We provide the source code for computing the Giambelli's fo…
Monk's Rule and Giambelli's Formula for Peterson Varieties of All Lie Types
Elizabeth Drellich
A Peterson variety is a subvariety of the flag variety which appears in the construction of the quantum cohomology of partial flag varieties. Each Peterson variety has a one-…