Co-authors
I have had the pleasure
of writing with Farid
Aliniaeifard, Sami Assaf, 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, Shu Xiao Li, Kurt Luoto, Toph Marshall,
Sarah Mason, Peter McNamara,
Stefan Mykytiuk, Elizabeth
Niese, Rebecca Patrias, Goetz Pfeiffer,
Kevin
Purbhoo, Vic
Reiner, Kristin
Shaw, Adrian She, Frank Sottile, Sheila Sundaram, Vasu Tewari, Hugh Thomas,
Foster Tom, Julie
Vega, Shiyun Wang, Victor Wang, 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
- Pieri
rules for skew dual immaculate functions (with
Elizabeth Niese, Sheila Sundaram, and Shiyun Wang), 15pp
(2022).
- Generalized
chromatic functions (with Farid
Aliniaeifard and Shu Xiao Li), 33pp (2022).
- Deletion-contraction
for a unified Laplacian and applications (with
Farid Aliniaeifard and Victor Wang), 43pp (2022).
- 0-Hecke
modules for row-strict dual immaculate functions
(with Elizabeth Niese, Sheila Sundaram, Julianne Vega and
Shiyun Wang), 66pp (2022).
- Row-strict
dual immaculate functions (with Elizabeth Niese,
Sheila Sundaram, Julianne Vega and Shiyun Wang), 30pp
(2022).
- The
chromatic symmetric function of a graph centred at a
vertex (with Farid Aliniaeifard and
Victor Wang), 37pp (2021).
Accepted
Appeared
- P-partition
power sums (with Farid Aliniaeifard and Victor
Wang), European
J. Combin. 110 20pp (2023).
- Schur
functions in noncommuting variables (with Farid
Aliniaeifard and Shu Xiao Li), Adv. Math. 406 37pp (2022).
- Coloring with a limited paintbox,
Notices Amer. Math. Soc. June/July 10pp (2022).
- Skew
key polynomials and a generalized Littlewood-Richardson
rule (with Sami Assaf), European J. Combin. 130
12pp (2022).
- Slide
multiplicity free key polynomials (with Soojin
Cho), Electron. J. Combin. 29 20pp (2022).
- Chromatic posets (with Samantha Dahlberg
and Adrian She), J. Combin. Theory Ser. A 184 32pp (2021).
- Extended
chromatic symmetric functions and equality of ribbon
Schur functions (with Farid Aliniaeifard and
Victor Wang), Adv. in Appl. Math. 128 29pp (2021).
- Resolving
Stanley's e-positivity of claw-contractible-free graphs
(with Samantha Dahlberg and Angele Foley), J. Eur.
Math. Soc. (JEMS) 22:2673--2696 (2020).
- The
probability of positivity in symmetric and
quasisymmetric functions (with Rebecca Patrias),
J. Comb. 11:475--493
(2020).
- The
shuffle conjecture, Bull. Amer. Math. Soc.
57:77--89 (2020).
- Dual
graphs from noncommutative and quasisymmetric Schur
functions (with poset diagrams here),
Proc. Amer. Math. Soc. 148: 1063--1078 (2020).
- Schur
and e-positivity of trees and cut vertices (with
Samantha Dahlberg and Adrian She), Electron. J. Combin. 27
22pp (2020).
- Chromatic
symmetric functions in noncommuting variables revisited
(with Samantha Dahlberg), Adv. in Appl. Math. 112 25pp
(2020).
- 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
-
Row-strict dual immaculate functions
and 0-Hecke modules (with Elizabeth Niese, Sheila Sundaram,
Julianne Vega and Shiyun Wang), FPSAC 2022.
- Skew key polynomials and the key poset
(with Sami Assaf), FPSAC 2019.
- 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
2023 Fellow of the AMS,
American
Mathematical Society.
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.
Brief
Career
2022- Associate Dean
Equity, Diversity, and Inclusion, Science, UBC, Canada.
2014-2022 Associate Head Research, Mathematics, UBC, Canada.
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.
An abbreviated CV can be found here.
Media - by the talented Koby Michaels and
colleagues
Stephanie van Willigenburg January
2023