
Teaching, 2014WT2
Math 442: Optimization
in graphs and networks
Math 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 Ppartitions, amongst others. One particular
discovery was the duality between peak functions and the cdindex. 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 in combinatorics
Those mentored in other subjects are not listed here.
Undergrad research: Kristin
Shaw
(2003, 2004, 2005), Chris Ryan (2005), Josh Fiddler (2006), Andrew
Brown (2007), Farzin Barekat (2008), Jesseca Eng (2015), Ian Mak (2015).
MSc: Matt Morin
(20035), Vasu Tewari (200911), Caleb Cheek (201012).
PhD: Matt Morin
(20052010), Vasu Tewari (2011).
Postdoc (joint):
Kevin Purbhoo (20067), Eric Fusy (20089), Kurt Luoto
(200911), Mahdad Khatirinejad (201011), Ed Richmond (201114).
Current Conference Organisation
Contact Information
Email:steph (at math splotch ubc followed by another
splotch
ca)
Phone:+1 604 8222630
Fax:+1 604 8226074
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 May 2015
