I have had the pleasure of writing with 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, Kurt Luoto,  Toph Marshall, Sarah Mason, Peter McNamara, Stefan Mykytiuk, Rebecca Patrias, Goetz Pfeiffer, Kevin Purbhoo, Vic Reiner, Kristin Shaw, Adrian She, Frank Sottile, Vasu TewariHugh 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.

  1. An introduction to quasisymmetric Schur functions - Hopf algebras, quasisymmetric functions, and Young composition tableaux (with Kurt Luoto and Stefan Mykytiuk), Springer (2013).

    Refereed journal

  1. Slide multiplicity free key polynomials (with Soojin Cho), 16pp (2020).

  2. Chromatic posets (with Samantha Dahlberg and Adrian She), 30pp (2020).

  3. Skew key polynomials and a generalized Littlewood--Richardson rule (with Sami Assaf), 18pp (2019).



  4. 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).

  5. The probability of positivity in symmetric and quasisymmetric functions (with Rebecca Patrias), J. Comb. 11:475--493 (2020).

  6. The shuffle conjecture, Bull. Amer. Math. Soc. 57:77--89  (2020).

  7. Dual graphs from noncommutative and quasisymmetric Schur functions (with poset diagrams here),  Proc. Amer. Math. Soc. 148: 1063--1078 (2020).

  8. Schur and e-positivity of trees and cut vertices (with Samantha Dahlberg and Adrian She), Electron. J. Combin. 27 22pp (2020).

  9. Chromatic symmetric functions in noncommuting variables revisited (with Samantha Dahlberg), Adv. in Appl. Math. 112 25pp (2020).

  10. Permuted composition tableaux, 0-Hecke algebra and labeled binary trees (with Vasu Tewari), J. Combin. Theory Ser. A 161:420--452 (2019).

  11. Quasisymmetric and noncommutative skew Pieri rules (with Vasu Tewari), Adv. in Appl. Math. 100:101--121 (2018).

  12. Necessary conditions for Schur maximality (with Foster Tom), Electron. J. Combin. 25 50pp (2018).

  13. Lollipop and lariat symmetric functions (with Samantha Dahlberg), SIAM J. Discrete Math. 32:1029--1039 (2018).

  14. Chromatic classical symmetric functions (with Soojin Cho), J. Comb. 9:401--409 (2018).

  15. Quasisymmetric Schur functions sampler, Notices of the AMS (2016).

  16. Chromatic bases for symmetric functions (with Soojin Cho, with Theorem 8 Part 4 corrected here), Electron. J. Combin. 23 6pp (2016).

  17. Littlewood-Richardson rules for symmetric skew quasisymmetric Schur functions (with Christine Bessenrodt and Vasu Tewari), J. Combin. Theory Ser. A 137:179--206 (2016).

  18. Modules of the 0-Hecke algebra and quasisymmetric Schur functions (with Vasu Tewari), Adv. Math. 285:1025--1065 (2015).

  19. On (almost) extreme components in Kronecker products of characters of the symmetric groups (with Christine Bessenrodt), J. Algebra  410:460--500 (2014).

  20. Noncommutative irreducible characters of the symmetric group and noncommutative Schur functions, J. Comb. 4:403--418 (2013).

  21. Multiplicity free Schur, skew Schur, and quasisymmetric Schur functions (with Christine Bessenrodt), Ann. Comb.  17:275--294 (2013).   

  22. Maximal supports and Schur-positivity among connected skew shapes (with Peter McNamara), European J. Combin. 33:1190--1206 (2012).

  23. Skew quasisymmetric Schur functions and noncommutative Schur functions (with Christine Bessenrodt and Kurt Luoto), Adv. Math. 226:4492--4532 (2011).

  24. Refinements of the Littlewood-Richardson rule (with James Haglund, Kurt Luoto and Sarah Mason), Trans. Amer. Math. Soc. 363:1665--1686 (2011).

  25. Quasisymmetric Schur functions (with James Haglund, Kurt Luoto and Sarah Mason),  J. Combin. Theory Ser. A  118: 463--490 (2011).

  26. Expressions for Catalan Kronecker products (with Andrew Brown and Mike Zabrocki), Pacific J. Math. 248:31--48 (2010).
  27. Composition of transpositions and equality of ribbon Schur Q-functions (with Farzin Barekat), Electron. J. Combin. 16 28pp (2009).

  28. Towards a combinatorial classification of skew Schur functions (with Peter McNamara),  Trans. Amer. Math. Soc. 361:4437--4470 (2009).

  29. Positivity results on ribbon Schur function differences (with Peter McNamara),  European J. Combin. 30:1352--1369 (2009).

  30. 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).

  31. On tensor products of polynomial representations (with Kevin Purbhoo),  Canad. Math. Bull. 51:584--592 (2008).

  32. Compact symmetric solutions to the postage stamp problem (with Hugh Thomas),  FJMS 30:55--63 (2008).

  33. 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.

  34. Coincidences among skew Schur functions (with Victor Reiner and Kristin Shaw),  Adv. Math. 216:118--152 (2007).

  35. Multiplicity free expansions of Schur P-functions (with Kristin Shaw), Ann. Comb. 11:69--77 (2007).

  36. Decomposable compositions, symmetric quasisymmetric functions and equality of ribbon Schur functions (with Louis Billera and Hugh Thomas),   Adv.  Math. 204:204--240 (2006).

  37. Equality of Schur and skew Schur functions, Ann. Comb. 9:355--362 (2005).

  38. Enumerative properties of Ferrers graphs (with Richard Ehrenborg), Discrete Comput. Geom. 32:481--492 (2004), volume in honour of LJ Billera.

  39. Judging Athenian dramatic competitions (with Christopher Marshall), Journal of Hellenic Studies 124:90--107 (2004).

  40. Peak quasisymmetric functions and Eulerian enumeration (with Louis Billera and Samuel Hsiao), Adv. Math. 176:248--276 (2003).

  41. Properties of the descent algebras of type D, Discrete Math. 269:325--332 (2003).

  42. 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).

  43. The p-modular descent algebra (with Michael Atkinson and Goetz Pfeiffer), Algebr. Represent. Theory 5:101--113 (2002).

  44. 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.

  45. A multiplication rule for the descent algebra of type D (with Nantel Bergeron), J. Algebra 206:699--705 (1998).

  46. A proof of Solomon's rule, J. Algebra 206:693--698 (1998).

  47. 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

  48. Skew key polynomials and the key poset (with Sami Assaf), FPSAC 2019.

  49. Schur-positivity of equitable ribbons (with Foster Tom), FPSAC 2018.

  50. A noncommutative geometric LR rule (with Edward Richmond and Vasu Tewari), FPSAC 2016.

  51. Quasisymmetric Schur functions and modules of the 0-Hecke algebra (with Vasu Tewari), FPSAC 2014.

  52. Refinements of the Littlewood-Richardson rule (with James Haglund, Kurt Luoto and Sarah Mason), FPSAC 2009.

  53. Quasisymmetric Schur functions (with James Haglund, Kurt Luoto and Sarah Mason), FPSAC 2008.

  54. Coincidences among skew Schur functions (with Victor Reiner and Kristin Shaw), FPSAC 2006.

  55. Multiplicity free expansions of Schur P-functions (with Kristin Shaw), FPSAC 2005.

  56. Equality of Schur and skew Schur functions, FPSAC 2005.

  57. A matrix interpretation for the descent algebra of type D, FPSAC 1998.

  58. Technical reports with content not covered by an above journal article

  59. The descent algebras of Coxeter groups, PhD thesis, St Andrews University Technical Report, CS/97/9.

  60. 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 August 2020