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Steph van WilligenburgAssociate Professor, University of British Columbia.Associate Chair Teaching Resources and CWSEI Director - Mathematics. Welcome to my homepage. Linked to this page you will find my |
Teaching, Autumn 2009
Math 342:
Algebra, coding theory, and cryptographyResearch Interests
My area of expertise is algebraic combinatorics. More precisely, my doctoral thesis concentrated on Solomon descent algebras of Coxeter groups with a particular focus on their multiplicative structure, and the establishment of their basic algebraic structure and representation theory over fields of finite characteristic.Since then, I have been interested in Pieri operators on
posets, a series of
operators
that have been seen to link the diverse areas of Schubert calculus,
combinatorics
of polytopes, and P-partitions, amongst others. This led to the study
of ribbon Schur function equality.
Of late, I have generalised this study to skew Schur function
equality and applied the knowledge gleaned to the study of Schur
positivity.
Most recently, I have been studying a natural quasisymmetric
refinement of Schur functions that reflect many of the properties
displayed by Schur functions.
Keywords and phrases Coxeter
group, representation
theory, finite fields, P-partition, Pieri formula, graded
operation on posets, cd-index, quasisymmetric function, Schur
function, Macdonald polynomial.
Students
Undergrad research: Kristin
Shaw
(2003, 2004, 2005), Chris Ryan (2005), Josh Fiddler (2006), Andrew
Brown (2007), Farzin Barekat (2008).
MSc: Matt Morin
(2003-5), Vasu Tewari (2009- ).
PhD: Matt Morin
(2005- ).
Postdoc: (joint)
Kevin Purbhoo (2006-7), (joint) Eric Fusy (2008-9), (joint) Kurt Luoto
(2009- ).
Conference Organisation
Contact Information
Email:steph (at math splotch ubc followed by another one
ca) Phone:+1 604 822-2630
Fax:+1 604 822-6074
Paper mail:
Department of Mathematics, University of British Columbia, 1984 Mathematics Road, Vancouver, BC, V6T 1Z2, Canada.Other
My husband is the medieval historian Niall Christie.Stephanie van Willigenburg Aug 2009 Borders courtesy of Eos Web Art