Teaching, 2012W Term 2
Optimization in graphs and networks
Mathematical research and writing
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
establishment of their basic algebraic structure and representation
over fields of finite characteristic.
Subsequently, I worked on Pieri operators on
posets that link the diverse areas of Schubert calculus,
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
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
operation on posets, quasisymmetric function, Schur
function, Schur P function, Macdonald polynomial.
Undergrad research: Kristin
(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
PhD: Matt Morin
(2005-2010), Vasu Tewari (2011-).
Kevin Purbhoo (2006-7), Eric Fusy (2008-9), Kurt Luoto
(2009-11), Mahdad Khatirinejad (2010-11), Ed Richmond (2011- ).
Current Conference Organisation
Email:steph (at math splotch ubc followed by another
Phone:+1 604 822-2630
Fax:+1 604 822-6074
Department of Mathematics, University of British Columbia,
1984 Mathematics Road, Vancouver, BC, V6T 1Z2, Canada.
My husband is the medieval historian Niall Christie.
Stephanie van Willigenburg December 2012