I am not teaching this term.
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, such as Pieri rules, a
Littlewood-Richardson rule, and their role in the representation theory
of the 0-Hecke algebra.
Keywords and phrases Coxeter
theory, graded poset, quasisymmetric and noncommutative symmetric
function, skew Schur
function, quasisymmetric Schur function, Macdonald polynomial.
Students in algebraic combinatorics
Those mentored in other subjects are not listed here.
Undergrad research: Kristin
(2003, 2004, 2005), Chris Ryan (2005), Josh Fiddler (2006), Andrew
Brown (2007), Farzin Barekat (2008), Jesseca Eng (2015), Ian Mak
(2015), Foster Tom (2016).
MSc: Matt Morin
(2003-5), Vasu Tewari (2009-11), Caleb Cheek (2010-12), Foster Tom
PhD: Matt Morin
(2005-2010), Vasu Tewari (2011-2015), Brian Chan (2016- ).
Kevin Purbhoo (2006-7), Eric Fusy (2008-9), Kurt Luoto
(2009-11), Mahdad Khatirinejad (2010-11), Ed Richmond (2011-14),
Julian Courtiel (2015-6), Samantha Dahlberg (2016- ).
Current Conference Organisation
In the past I have also co-organized FPSAC 2004 and a CRM special
semester, BIRS 2- and 5-Day Workshops plus FRGs and RITs, plus
CMS and AMS special sessions. I have organized both Algebraic
Combinatorixx and Algebraic Combinatorixx 2 at BIRS to faciliate both
research and mentorship for women in algebraic combinatorics. At a
departmental level I am currently
the Associate Head for Research.
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 September 2016