442: Optimization in Graphs and Networks
444: 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
establishment of their basic algebraic structure and
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
discovery was the duality between peak functions and the
led to studying ribbon Schur function equality,
generalising this study
to skew Schur function
equality and applying the knowledge gleaned to the study
Most recently, I have been studying a natural
refinement of Schur functions that reflect many of the
displayed by Schur functions, such as Pieri rules, a
Littlewood-Richardson rule, and their role in the
of the 0-Hecke algebra. I have also become interested in a
generalization of the chromatic polynomial, known as the
chromatic symmetric function.
Keywords and phrases chromatic symmetric function,
theory, graded poset, quasisymmetric and noncommutative
function, skew Schur
function, quasisymmetric Schur function, Macdonald
Students in algebraic combinatorics
Those mentored in other subjects are not listed here.
Undergrad research: Kristin
2004, 2005), Chris Ryan (2005), Josh Fiddler (2006),
Brown (2007), Farzin Barekat (2008), Jesseca Eng (2015),
(2015), Foster Tom (2016).
MSc: Matt Morin
(2003-5), Vasu Tewari (2009-11), Caleb Cheek (2010-12),
PhD: Matt Morin
(2005-2010), Vasu Tewari (2011-2015), Brian Chan (2016- ).
Kevin Purbhoo (2006-7), Eric Fusy (2008-9),
(2009-11), Mahdad Khatirinejad (2010-11), Ed
Julian Courtiel (2015-6), Samantha Dahlberg (2016- ).
Current Conference Organisation
In the past I have also co-organized FPSAC 2004 and a CRM
semester, BIRS 2- and 5-Day Workshops plus FRGs and
CMS and AMS special sessions. I have organized both
Combinatorixx and Algebraic Combinatorixx 2 at BIRS to
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 December 2016