Co-authors
I have had the pleasure of writing with Mike
Atkinson, Farzin Barekat, Nantel
Bergeron, Christine
Bessenrodt, Lou
Billera, Andrew
Brown,
Richard
Ehrenborg , Jim
Haglund, Sam
Hsiao, Ron King,
Kurt Luoto,
Toph
Marshall, Sarah Mason,
Peter
McNamara, Stefan
Mykytiuk, Goetz
Pfeiffer, Kevin
Purbhoo,
Vic Reiner, Kristin
Shaw,
Frank Sottile, Hugh Thomas,
Trevor Welsh and Mike
Zabrocki.
Publications (in reverse chronological order)
These papers are all pdf files. If you cannot read them, please let me
know and I will send you a postscript file or hardcopy.
Book
- An introduction to quasisymmetric Schur
functions - Hopf algebras, quasisymmetric functions, and Young
composition tableaux (with Kurt Luoto and Stefan Mykytiuk),
Springer (2013).
Refereed journal
Submitted
- Noncommutative irreducible characters of
the symmetric group and noncommutative Schur functions (with
Kurt Luoto), preprint 12pp (2012).
- On Kronecker products of characters of the
symmetric groups with few components (with Christine
Bessenrodt), preprint 35pp (2011).
Accepted
- Multiplicity free Schur, skew Schur, and
quasisymmetric Schur functions (with Christine
Bessenrodt), to appear Ann. Comb. 20pp (2012).
Appeared
- Maximal
supports and Schur-positivity among connected skew shapes (with
Peter McNamara), European J. Combin., 33:1190-1206 (2012).
- Skew quasisymmetric Schur functions and
noncommutative Schur functions
(with Christine Bessenrodt and Kurt Luoto), Adv.
Math., 226:4492–4532 (2011) .
- Refinements
of the Littlewood-Richardson rule
(with James Haglund, Kurt Luoto and Sarah Mason), Trans. Amer. Math.
Soc. 363:1665--1686 (2011).
- Quasisymmetric Schur functions
(with James Haglund, Kurt Luoto and Sarah Mason), J. Combin.
Theory Ser. A 118: 463--490 (2011).
- Expressions for Catalan Kronecker products
(with Andrew Brown and Mike Zabrocki), Pacific J. Math. 248:31--48
(2010).
- Composition
of transpositions and equality
of ribbon Schur Q-functions
(with Farzin Barekat), Electron. J. Combin. 16:R110 28pp (2009).
- Towards
a
combinatorial classification of skew Schur functions (with
Peter McNamara), Trans. Amer. Math. Soc. 361:4437--4470 (2009).
- Positivity
results on ribbon Schur function differences (with
Peter McNamara), European J. Combin. 30:1352--1369 (2009).
- Skew
Schur function irreducibility (with Farzin Barekat and Victor
Reiner), corrigendum to go with "Coincidences among skew Schur
functions" Adv. Math. 220:1655--1656 (2009).
- On tensor products of polynomial
representations
(with Kevin Purbhoo), Canad. Math. Bull. 51:584--592 (2008).
- Compact
symmetric solutions to the postage stamp problem (with Hugh
Thomas), FJMS 30:55--63 (2008).
- Schur
positivity of skew
Schur
function differences and applications to ribbons and Schubert classes
(with Ronald King and Trevor Welsh), J.
Algebraic Combin. 28:139--167 (2008), volume in memory of M Schocker.
- Coincidences among skew Schur functions
(with Victor Reiner and Kristin Shaw), Adv.
Math. 216:118--152 (2007).
- Multiplicity
free expansions of Schur P-functions (with Kristin Shaw), Ann.
Comb. 11:69--77 (2007).
- Decomposable
compositions, symmetric quasisymmetric functions and equality of ribbon
Schur functions (with Louis Billera and Hugh
Thomas),
Adv. Math. 204:204--240 (2006).
- Equality
of
Schur and skew Schur functions, Ann. Comb. 9:355--362 (2005).
- Enumerative
properties of Ferrers graphs (with Richard Ehrenborg), Discrete
Comput. Geom. 32:481--492 (2004), volume in honour of LJ Billera.
- Judging
Athenian
dramatic competitions (with Christopher Marshall), Journal of
Hellenic
Studies 124:90--107 (2004).
- Peak
quasisymmetric
functions and Eulerian enumeration (with Louis Billera and
Samuel
Hsiao), Adv. Math. 176:248--276 (2003).
- Properties
of the descent algebras of type D, Discrete Math. 269:325--332
(2003).
- Shifted
quasi-symmetric functions and the Hopf algebra of peak functions
(with Nantel Bergeron, Stefan Mykytiuk and Frank Sottile), Discrete
Math.
246:57--66 (2002).
- The
p-modular
descent algebra (with Michael Atkinson and Goetz Pfeiffer),
Algebr.
Represent. Theory 5:101--113 (2002).
- Non-commutative
Pieri operators on posets (with Nantel Bergeron, Stefan
Mykytiuk
and Frank Sottile), J. Combin. Theory Ser. A 91:84--110 (2000), volume
in
memory
of GC Rota.
- A
multiplication
rule for the descent algebra of type D (with Nantel Bergeron),
J. Algebra 206:699--705 (1998).
- A
proof of
Solomon's rule, J. Algebra 206:693--698 (1998).
- The
p-modular
descent algebra of the symmetric group (with Michael Atkinson),
Bull. Lond. Math. Soc. 29:407--414 (1997).
Refereed conference with content not covered by the above
- A
matrix interpretation
for the descent algebra of type D, Formal Power Series and
Combinatorics,
10th conference, CRM (1998).
Technical reports
- The
descent
algebras of Coxeter groups, PhD thesis, St Andrews University
Technical
Report, CS/97/9.
- The
p-modular
descent algebras of the hyperoctahedral group and dihedral groups,
St Andrews University Technical Report CS/96/1.
Selected Honours
2008-2009 Humboldt Research
Fellowship,
Alexander von Humboldt
Foundation.
2007-2008 Killam Teaching Award
(Science), Izaak
Walton and Dorothy Killam Endowment Fund.
2006 Distinguished Visiting
Professor, Bucknell
University USA.
2004 Peter Wall IAS Early Career
Scholar, Peter Wall IAS.
2002-2007 University Faculty Award,
NSERC.
1997-2000 Leverhulme Trust Study
Abroad Scholar, Leverhulme
Trust.
1997 Russell Trust Award, Russell
Trust.
Brief Career
2012- Professor, UBC, Canada.
2007-2012 Associate Professor, UBC, Canada.
2002-2007 Assistant Professor, UBC, Canada.
2000-2002 Visiting Assistant Professor, Cornell, USA.
1998-2000 Postdoc, York University, Canada.
1998 PhD, St Andrews University, Scotland.
1994 BSc Hons, St Andrews University, Scotland.
Stephanie van Willigenburg August 2012