Co-authors
I have had the pleasure of writing with Mike Atkinson, Farzin
Barekat, Nantel
Bergeron, Christine
Bessenrodt, Lou
Billera, Andrew Brown, Soojin Cho, Samantha Dahlberg, Richard Ehrenborg, Angele
Foley (was Hamel), Jim Haglund, Sam
Hsiao, Ron
King, Kurt Luoto, Toph Marshall,
Sarah Mason, Peter McNamara,
Stefan Mykytiuk, Rebecca
Patrias, Goetz
Pfeiffer, Kevin
Purbhoo, Vic
Reiner, Kristin Shaw, Frank Sottile, Vasu
Tewari, Hugh Thomas,
Foster Tom, 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
- The
probability of positivity in symmetric and quasisymmetric
functions (with Rebecca Patrias), 14pp (2018).
- Dual
graphs from noncommutative and quasisymmetric Schur
functions, 18pp (2018).
- Resolving
Stanley's e-positivity of claw-contractible-free graphs
(with Samantha Dahlberg and Angele Foley), 22pp (2017).
Accepted
- The
shuffle conjecture, 12pp Bull. Amer. Math. Soc (2019).
Appeared
- Permuted
composition tableaux, 0-Hecke algebra and labeled binary
trees (with Vasu Tewari), J. Combin. Theory Ser.
A 161: 420--452 (2019).
- Quasisymmetric and
noncommutative skew Pieri rules (with Vasu
Tewari),
Adv. in Appl. Math. 100:101--121 (2018).
- Necessary
conditions for Schur maximality (with Foster
Tom), Electron. J. Combin. 25 50pp (2018).
- Lollipop
and lariat symmetric functions (with
Samantha Dahlberg), SIAM J. Discrete Math.
(2018).
- Chromatic
classical
symmetric functions (with Soojin Cho), J. Comb.
9:401--409 (2018).
- Quasisymmetric Schur
functions sampler, Notices of the AMS (2016).
- Chromatic
bases
for symmetric functions (with Soojin Cho, with
Theorem 8 Part 4 corrected here),
Electron. J. Combin. 23 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 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 an above
journal article if there is a link
- Schur-positivity
of equitable ribbons (with Foster Tom), FPSAC 2018.
- 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 an above
journal article
- 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
2019 Plenary speaker, Joint
Mathematics Meeting Current Events Bulletin.
2018 Simons CRM Professor, Centre
de Recherches Mathematiques.
2017 Krieger-Nelson Prize, Canadian Mathematical Society.
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.
Media - by the talented Koby
Michaels and colleagues
Stephanie van Willigenburg October 2018