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Co-authors

I have had the pleasure of writing with Farid Aliniaeifard, Shamil Asgarli, Sami Assaf, Mike Atkinson, Farzin Barekat, Nantel Bergeron, Christine Bessenrodt, Lou Billera, Andrew Brown, Soojin Cho, Samantha Dahlberg, Richard Ehrenborg, Maria Esipova, Angele Foley (was Hamel), Jim Haglund, Sam Hsiao, Emma Yu Jin, Ron King, Nadia Lafrenire, Shu Xiao Li, Kurt Luoto,  Toph Marshall, Sarah Mason, Peter McNamara, Stefan Mykytiuk, Elizabeth Niese, Rosa Orellana, Rebecca Patrias, Goetz Pfeiffer, Anna Pun, Kevin Purbhoo, Vic Reiner, Kristin Shaw, Adrian She, Ethan Shelburne, Frank Sottile, Sheila Sundaram, Vasu Tewari, Hugh Thomas, Foster Tom, Julie Vega, Shiyun Wang, Victor Wang, Tamsen Whitehead McGinley, Trevor Welsh and Mike Zabrocki.

Publications

(in reverse chronological order)

     
    Book
  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

    Submitted
  1. Chromatic quasisymmetric functions of the path graph (with Farid Aliniaeifard, Shamil Asgarli, Maria Esipova, Ethan Shelburne, Tamsen Whitehead), 16pp (2024).
  2. The skew immaculate Hecke poset and 0-Hecke modules (with Nadia Lafreniere, Rosa Orellana, Anna Pun, Sheila Sundaram, Tamsen Whitehead), 33pp (2024).
  3. The extra basis in noncommuting variables (with Farid Aliniaeifard), 19pp (2024).

  4. Schur-positivity for generalized nets (with Ethan Shelburne), 24pp (2024).
  5. Equality of skew-Schur functions in noncommuting variables (with Emma Yu Jin), 13pp (2024).
    Accepted
  6. The chromatic symmetric function of a graph centred at a vertex (with Farid Aliniaeifard and Victor Wang), Electron. J. Combin. 37pp (2024).

    Appeared

  7. Pieri rules for skew dual immaculate functions (with Elizabeth Niese, Sheila Sundaram, and Shiyun Wang), Canad. Math. Bull. 13pp (2024).
  8. Deletion-contraction for a unified Laplacian and applications (with Farid Aliniaeifard and Victor Wang), Linear Algebra Appl. 691 50--95 (2024).

  9. 0-Hecke modules for row-strict dual immaculate functions (with Elizabeth Niese, Sheila Sundaram, Julianne Vega and Shiyun Wang), Trans. Amer. Math. Soc. 58pp (2024).
  10. Generalized chromatic functions (with Farid Aliniaeifard and Shu Xiao Li), Int. Math. Res. Not, IMRN 45pp (2024).

  11. Row-strict dual immaculate functions (with Elizabeth Niese, Sheila Sundaram, Julianne Vega and Shiyun Wang), Adv. in Appl. Math. 149 33pp (2023).
  12. P-partition power sums (with Farid Aliniaeifard and Victor Wang), European J. Combin. 110 20pp (2023).
  13. Schur functions in noncommuting variables (with Farid Aliniaeifard and Shu Xiao Li), Adv. Math. 406 37pp (2022).
  14. Coloring with a limited paintbox, Notices Amer. Math. Soc. June/July 10pp (2022).

  15. Skew key polynomials and a generalized Littlewood-Richardson rule (with Sami Assaf), European J. Combin. 130 12pp (2022).

  16. Slide multiplicity free key polynomials (with Soojin Cho), Electron. J. Combin. 29 20pp (2022).

  17. Chromatic posets (with Samantha Dahlberg and Adrian She), J. Combin. Theory Ser. A 184 32pp (2021).
  18. Extended chromatic symmetric functions and equality of ribbon Schur functions (with Farid Aliniaeifard and Victor Wang),  Adv. in Appl. Math. 128 29pp (2021).

  19. 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).

  20. The probability of positivity in symmetric and quasisymmetric functions (with Rebecca Patrias), J. Comb. 11:475--493 (2020).
  21. The shuffle conjecture, Bull. Amer. Math. Soc. 57:77--89  (2020).

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

  23. Schur and e-positivity of trees and cut vertices (with Samantha Dahlberg and Adrian She), Electron. J. Combin. 27 22pp (2020).
  24. Chromatic symmetric functions in noncommuting variables revisited (with Samantha Dahlberg), Adv. in Appl. Math. 112 25pp (2020).
  25. Permuted composition tableaux, 0-Hecke algebra and labeled binary trees (with Vasu Tewari), J. Combin. Theory Ser. A 161:420--452 (2019).
  26. Quasisymmetric and noncommutative skew Pieri rules (with Vasu Tewari), Adv. in Appl. Math. 100:101--121 (2018).

  27. Necessary conditions for Schur maximality (with Foster Tom), Electron. J. Combin. 25 50pp (2018).
  28. Lollipop and lariat symmetric functions (with Samantha Dahlberg), SIAM J. Discrete Math. 32:1029--1039 (2018).
  29. Chromatic classical symmetric functions (with Soojin Cho), J. Comb. 9:401--409 (2018).
  30. Quasisymmetric Schur functions sampler, Notices of the AMS (2016).
  31. Chromatic bases for symmetric functions (with Soojin Cho, with Theorem 8 Part 4 corrected here), Electron. J. Combin. 23 6pp (2016).
  32. Littlewood-Richardson rules for symmetric skew quasisymmetric Schur functions (with Christine Bessenrodt and Vasu Tewari), J. Combin. Theory Ser. A 137:179--206 (2016).
  33. Modules of the 0-Hecke algebra and quasisymmetric Schur functions (with Vasu Tewari), Adv. Math. 285:1025--1065 (2015).
  34. On (almost) extreme components in Kronecker products of characters of the symmetric groups (with Christine Bessenrodt), J. Algebra  410:460--500 (2014).
  35. Noncommutative irreducible characters of the symmetric group and noncommutative Schur functions, J. Comb. 4:403--418 (2013).
  36. Multiplicity free Schur, skew Schur, and quasisymmetric Schur functions (with Christine Bessenrodt), Ann. Comb.  17:275--294 (2013).   

  37. Maximal supports and Schur-positivity among connected skew shapes (with Peter McNamara), European J. Combin. 33:1190--1206 (2012).
  38. Skew quasisymmetric Schur functions and noncommutative Schur functions (with Christine Bessenrodt and Kurt Luoto), Adv. Math. 226:4492--4532 (2011).

  39. Refinements of the Littlewood-Richardson rule (with James Haglund, Kurt Luoto and Sarah Mason), Trans. Amer. Math. Soc. 363:1665--1686 (2011).
  40. Quasisymmetric Schur functions (with James Haglund, Kurt Luoto and Sarah Mason),  J. Combin. Theory Ser. A  118: 463--490 (2011).
  41. Expressions for Catalan Kronecker products (with Andrew Brown and Mike Zabrocki), Pacific J. Math. 248:31--48 (2010).
     
  42. Composition of transpositions and equality of ribbon Schur Q-functions (with Farzin Barekat), Electron. J. Combin. 16 28pp (2009).
  43. Towards a combinatorial classification of skew Schur functions (with Peter McNamara),  Trans. Amer. Math. Soc. 361:4437--4470 (2009).

  44. Positivity results on ribbon Schur function differences (with Peter McNamara),  European J. Combin. 30:1352--1369 (2009).
  45. 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).
  46. On tensor products of polynomial representations (with Kevin Purbhoo),  Canad. Math. Bull. 51:584--592 (2008).
  47. Compact symmetric solutions to the postage stamp problem (with Hugh Thomas),  FJMS 30:55--63 (2008).
  48. 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.
  49. Coincidences among skew Schur functions (with Victor Reiner and Kristin Shaw),  Adv. Math. 216:118--152 (2007).
  50. Multiplicity free expansions of Schur P-functions (with Kristin Shaw), Ann. Comb. 11:69--77 (2007).
  51. Decomposable compositions, symmetric quasisymmetric functions and equality of ribbon Schur functions (with Louis Billera and Hugh Thomas),   Adv.  Math. 204:204--240 (2006).
  52. Equality of Schur and skew Schur functions, Ann. Comb. 9:355--362 (2005).
  53. Enumerative properties of Ferrers graphs (with Richard Ehrenborg), Discrete Comput. Geom. 32:481--492 (2004), volume in honour of LJ Billera.
  54. Judging Athenian dramatic competitions (with Christopher Marshall), Journal of Hellenic Studies 124:90--107 (2004).
  55. Peak quasisymmetric functions and Eulerian enumeration (with Louis Billera and Samuel Hsiao), Adv. Math. 176:248--276 (2003).
  56. Properties of the descent algebras of type D, Discrete Math. 269:325--332 (2003).
  57. 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).
  58. The p-modular descent algebra (with Michael Atkinson and Goetz Pfeiffer), Algebr. Represent. Theory 5:101--113 (2002).
  59. 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.
  60. A multiplication rule for the descent algebra of type D (with Nantel Bergeron), J. Algebra 206:699--705 (1998).
  61. A proof of Solomon's rule, J. Algebra 206:693--698 (1998).
  62. 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
  63. Row-strict dual immaculate functions and 0-Hecke modules (with Elizabeth Niese, Sheila Sundaram, Julianne Vega and Shiyun Wang), FPSAC 2022.
  64. Skew key polynomials and the key poset (with Sami Assaf), FPSAC 2019.
  65. Schur-positivity of equitable ribbons (with Foster Tom), FPSAC 2018.
  66. A noncommutative geometric LR rule (with Edward Richmond and Vasu Tewari), FPSAC 2016.
  67. Quasisymmetric Schur functions and modules of the 0-Hecke algebra (with Vasu Tewari), FPSAC 2014.
  68. Refinements of the Littlewood-Richardson rule (with James Haglund, Kurt Luoto and Sarah Mason), FPSAC 2009.
  69. Quasisymmetric Schur functions (with James Haglund, Kurt Luoto and Sarah Mason), FPSAC 2008.
  70. Coincidences among skew Schur functions (with Victor Reiner and Kristin Shaw), FPSAC 2006.
  71. Multiplicity free expansions of Schur P-functions (with Kristin Shaw), FPSAC 2005.
  72. Equality of Schur and skew Schur functions, FPSAC 2005.
  73. A matrix interpretation for the descent algebra of type D, FPSAC 1998.


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

  74. The descent algebras of Coxeter groups, PhD thesis, St Andrews University Technical Report, CS/97/9.
  75. The p-modular descent algebras of the hyperoctahedral group and dihedral groups, St Andrews University Technical Report CS/96/1.


Brief Career

(an abbreviated CV can be found here)


Selected Honours



Media

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My husband is the medieval historian Niall Christie.

Stephanie van Willigenburg September 2024