|
 Professor of Mathematics, University of British Columbia Linked to this page you will find my publications, career and honours |
Teaching, 2012W Term 2
Math 442:
Optimization in graphs and networksMath 444: Mathematical research and writing
Research Interests
My area of expertise is algebraic combinatorics. Initially I concentrated on 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.Subsequently, I worked on Pieri operators on
posets that link the diverse areas of Schubert calculus,
combinatorics
of polytopes, and P-partitions, amongst others. One particular
discovery was the duality between peak functions and the cd-index. This
led to studying ribbon Schur function equality, generalising this study
to skew Schur function
equality and applying 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, graded
operation on posets, quasisymmetric function, Schur
function, Schur P 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 (2009-11), Caleb Cheek (2010-12), Myrto Mavraki
(2012- ).
PhD: Matt Morin
(2005-2010), Vasu Tewari (2011-).
Postdoc (joint):
Kevin Purbhoo (2006-7), Eric Fusy (2008-9), Kurt Luoto
(2009-11), Mahdad Khatirinejad (2010-11), Ed Richmond (2011- ).
Current Conference Organisation
- UBC Discrete Maths Seminar
- BIRS Focussed Research Group: A t-Pieri rule for Hall-Littlewood P-functions and QS(t)-functions (12frg164)
- CanaDAM 2013 Invited Special Session to accompany Vic
Reiner's plenary talk on Algebraic
Combinatorics
Contact Information
Email:steph (at math splotch ubc followed by another
splotch
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 December 2012