Karel Casteels

University of California, Santa Barbara
6516 South Hall

casteels@ucsb.edu

Research

From Grassmann Necklaces to Restricted Permutations and Back Again (with Sian Fryer)

Quantum Matrices by Paths

Enumeration of torus-invariant strata with respect to dimension in the big cell of the quantum minuscule Grassmannian of type B_n
(with Jason Bell and Stéphane Launois)

Enumeration of $C{H}$-strata in quantum matrices with respect to dimension (with Jason Bell and Stéphane Launois)

Primitive ideals in quantum Schubert cells: dimension of the strata (with Jason Bell and Stéphane Launois)

A Graph Theoretic Method for Determining Generating Sets of Prime Ideals in Quantum Matrices

Universal cycles of (n-1)-partitions of an n-set (with Brett Stevens)

The bond and cycle spaces of an infinite graph (with R. Bruce Richter)

For Undergraduate Research projects I have been involved with, click here.
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