Co-authors
I have had the pleasure of writing with Mike
Atkinson, Farzin Barekat, Nantel
Bergeron, Christine
Bessenrodt, Lou
Billera, Andrew
Brown, Soojin Cho,
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, Vasu
Tewari,
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 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
- Chromatic
classical
symmetric functions (with Soojin Cho), 7pp
(2016).
- Operators on compositions and
generalized
skew Pieri rules (with Vasu Tewari), 39pp (2016).
Accepted
Appeared
- Quasisymmetric Schur
functions
sampler, Notices of the AMS (2016).
- Chromatic
bases
for symmetric functions (with Soojin Cho),
Electron.
J. Combin. 23:P1.15 6pp (2016).
- Littlewood-Richardson rules for
symmetric
skew quasisymmetric Schur
functions
(with Christine
Bessenrodt and Vasu Tewari), J. Combin.
Theory Ser. A 137:179--206 (2016).
- Modules
of the 0-Hecke algebra and quasisymmetric Schur functions
(with Vasu Tewari), Adv. Math. 285:1025--1065 (2015).
- On (almost) extreme components
in
Kronecker products of characters of the symmetric groups
(with Christine
Bessenrodt), J. Algebra 410:460--500
(2014).
- Noncommutative irreducible
characters of
the symmetric group and noncommutative Schur functions,
J.
Comb. 4:403--418 (2013).
- Multiplicity free Schur, skew
Schur, and
quasisymmetric Schur functions (with Christine
Bessenrodt), Ann. Comb. 17: 275--294 (2013).
- 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 covered in full by the above
- A noncommutative geometric LR rule (with Edward Richmond and
Vasu
Tewari), FPSAC 2016.
- Quasisymmetric Schur functions and modules of the 0-Hecke
algebra
(with Vasu Tewari), FPSAC 2014.
- Refinements of the Littlewood-Richardson rule (with James
Haglund, Kurt Luoto and Sarah Mason), FPSAC 2009.
- Quasisymmetric Schur functions (with James Haglund, Kurt Luoto
and Sarah Mason), FPSAC 2008.
- Coincidences among skew Schur functions (with Victor Reiner
and
Kristin Shaw), FPSAC 2006.
- Multiplicity free expansions of Schur P-functions (with
Kristin
Shaw), FPSAC 2005.
- Equality of Schur and skew Schur functions, FPSAC 2005.
- A matrix interpretation for the descent algebra of type D,
FPSAC
1998.
Technical reports 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).
- 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
2016 Plenary speaker, AMS
Spring
Western Sectional Meeting.
2015 Plenary speaker, FPSAC 2015.
2013-2014 Renewed Research
Award,
Alexander von
Humboldt
Foundation.
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 December 2016