%% This BibTeX bibliography file was created using BibDesk.
%% http://bibdesk.sourceforge.net/


%% Created for garsia at 2018-03-27 12:44:31 -0400 


%% Saved with string encoding Unicode (UTF-8) 



@article{rimhook,
AUTHOR = {E\u{g}ecio\u{g}lu, \"{O}. and Remmel, J.B.},
     TITLE = {A combinatorial interpretation of the inverse {K}ostka matrix},
   JOURNAL = {Linear Multilinear Algebra},
  FJOURNAL = {Linear and Multilinear Algebra},
    VOLUME = {26},
      YEAR = {1990},
    NUMBER = {1-2},
     PAGES = {59--84},
   MRCLASS = {05A15 (05A17 15A09)},
  MRNUMBER = {1034417},
MRREVIEWER = {Bruce Sagan},
       DOI = {10.1080/03081089008817966}}

@phdthesis{mythesis,
	Author = {E. Sergel},
	Date-Added = {2017-11-12 17:13:46 +0000},
	Date-Modified = {2017-11-12 17:15:24 +0000},
	School = {University of California, San Diego},
	Title = {{The Combinatorics of nabla pn and connections to the Rational Shuffle Conjecture}},
	Year = {2016}}

@misc{LLTpos,
	Author = {I. Grojnowski and M. Haiman},
	Date-Added = {2017-11-12 17:07:44 +0000},
	Date-Modified = {2018-03-27 16:44:28 +0000},
	Howpublished = {Available at \url{https://math.berkeley.edu/~mhaiman/}},
	Title = {{Affine Hecke algebras and positivity of LLT and Macdonald polynomials}},
	Year = {2007}}

@article{LLT,
	Author = {A. Lascoux and B. Leclerc and J.--Y. Thibon},
	Date-Added = {2017-11-12 17:00:50 +0000},
	Date-Modified = {2018-03-27 16:16:35 +0000},
	Journal = {J. Math. Phys.},
	Number = {2},
	Pages = {1041-1068},
	Title = {{Ribbon tableaux, Hall-Littlewood functions, quantum affine algebras, and unipotent varieties}},
	Volume = {38},
	Year = {1997},
	DOI = {10.1063/1.531807}}

@article{bibrick,
	Author = {A. Kulikauskas and J.B. Remmel},
	Date-Added = {2017-11-06 02:31:33 +0000},
	Date-Modified = {2018-03-27 16:16:15 +0000},
	Journal = {Electron. J. Combin.},
        NUMBER = {1},
        PAGES = {R18, 30 pp.},
	Title = {Lyndon words and transition matrices between elementary, homogeneous and monomial symmetric functions},
	Volume = {13},
	Year = {2006},
	URL =
	{http://www.combinatorics.org/ojs/index.php/eljc/article/view/v13i1r18}}

@article{DHdim,
	Author = {Haiman, M.},
	Date-Added = {2018-01-23 11:09:38 +0000},
	Date-Modified = {2018-01-23 11:09:38 +0000},
	Fjournal = {Inventiones Mathematicae},
	Journal = {Invent. Math.},
	Mrclass = {14C05 (05E05 14F17 14R20)},
	Mrnumber = {1918676},
	Mrreviewer = {Claudio Procesi},
	Number = {2},
	Pages = {371--407},
	Title = {Vanishing theorems and character formulas for the {H}ilbert scheme of points in the plane},
	DOI = {10.1007/s002220200219},
	Volume = {149},
	Year = {2002},
	Bdsk-Url-1 = {https://doi.org/10.1007/s002220200219}}

@article{pleth,
	Author = {Loehr, N.A. and Remmel, J.B.},
	Date-Added = {2018-01-24 16:28:21 +0000},
	Date-Modified = {2018-01-24 16:28:56 +0000},
	Fjournal = {Journal of Algebraic Combinatorics. An International Journal},
	Journal = {J. Algebraic Combin.},
	Mrclass = {05E05},
	Mrnumber = {2765321},
	Mrreviewer = {Kurt W. Luoto},
	Number = {2},
	Pages = {163--198},
	Title = {A computational and combinatorial expos\'e of plethystic calculus},
	Doi = {10.1007/s10801-010-0238-4},
	Volume = {33},
	Year = {2011}}

@article{PFpath,
	Author = {Garsia, A.M. and Haiman, M.},
	Date-Added = {2018-01-23 11:09:38 +0000},
	Date-Modified = {2018-03-28 08:39:58 +0000},
	Fjournal = {Journal of Algebraic Combinatorics. An International Journal},
	Journal = {J. Algebraic Combin.},
	Mrclass = {05E15 (05A10 05A30 05E10)},
	Mrnumber = {1394305},
	Mrreviewer = {Edward E. Allen},
	Number = {3},
	Pages = {191--244},
	Title = {A remarkable {$q,t$}-{C}atalan sequence and {$q$}-{L}agrange inversion},
	DOI = {10.1023/A:1022476211638},
	Volume = {5},
	Year = {1996},
	Bdsk-Url-1 = {https://doi.org/10.1023/A:1022476211638}}

@incollection{SciFi,
AUTHOR = {Bergeron, F. and Garsia, A.M.},
     TITLE = {Science fiction and {M}acdonald's polynomials},
 BOOKTITLE = {Algebraic methods and {$q$}-special functions ({M}ontr\'{e}al,
              {QC}, 1996)},
    SERIES = {CRM Proc. Lecture Notes},
    VOLUME = {22},
     PAGES = {1--52},
 PUBLISHER = {Amer. Math. Soc., Providence, RI},
      YEAR = {1999},
   MRCLASS = {20C30 (05E05 33D67 81R05)},
  MRNUMBER = {1726826},
MRREVIEWER = {Yasmine B. Sanderson}}

@article{compproof,
    Author = {{Carlsson}, E. and {Mellit}, A.},
     TITLE = {A proof of the shuffle conjecture},
   JOURNAL = {J. Amer. Math. Soc.},
  FJOURNAL = {Journal of the American Mathematical Society},
    VOLUME = {31},
      YEAR = {2018},
    NUMBER = {3},
     PAGES = {661--697},
   MRCLASS = {05E10 (05A30 05E05 33D52)},
  MRNUMBER = {3787405},
       DOI = {10.1090/jams/893}}

@article{modmac,
	Author = {A.M. Garsia and M. Haiman},
	Date-Added = {2016-03-30 20:43:57 +0000},
	Date-Modified = {2016-03-31 23:57:00 +0000},
	Journal = {Electron. J. Combin.},
	Number = {2},
	Pages = {561-620 (The Foata Festschrift, paper R24)},
	Title = {{Some Natural Bigraded $S_n$-Modules and $q,t$-Kostka Coefficients}},
	Volume = {3},
	Year = {1996},
	URL =
	{http://www.combinatorics.org/ojs/index.php/eljc/article/view/v3i2r24}}

@incollection{Gessel,
AUTHOR = {Gessel, I.M.},
     TITLE = {Multipartite {$P$}-partitions and inner products of skew
              {S}chur functions},
 BOOKTITLE = {Combinatorics and algebra ({B}oulder, {C}olorado, 1983)},
    SERIES = {Contemp. Math.},
    VOLUME = {34},
     PAGES = {289--317},
 PUBLISHER = {Amer. Math. Soc., Providence, RI},
      YEAR = {1984},
   MRCLASS = {05A17 (20C30)},
  MRNUMBER = {777705},
MRREVIEWER = {J. D\'{e}sarm\'{e}nien},
       DOI = {10.1090/conm/034/777705}
}

@article{compconj,
	Author = {J. Haglund and J. Morse and M. Zabrocki},
	Date-Added = {2016-03-30 20:43:57 +0000},
	Date-Modified = {2016-03-30 20:43:57 +0000},
	Journal = {Canad. J. Math.},
	Pages = {822-844},
	Title = {{A compositional refinement of the shuffle conjecture specifying touch points of the Dyck path}},
	Volume = {64},
	Year = {2012}}

@article{shuffleconj,
	Author = {Haglund, J. and Haiman, M. and Loehr, N. and Remmel, J.B. and Ulyanov, A.},
	Date-Added = {2018-01-23 11:09:38 +0000},
	Date-Modified = {2018-01-23 11:09:38 +0000},
	Fjournal = {Duke Mathematical Journal},
	Journal = {Duke Math. J.},
	Mrclass = {05E10 (05A30 20C30)},
	Mrnumber = {2115257},
	Mrreviewer = {Edward E. Allen},
	Number = {2},
	Pages = {195--232},
	Title = {A combinatorial formula for the character of the diagonal coinvariants},
	DOI = {10.1215/S0012-7094-04-12621-1},
	Volume = {126},
	Year = {2005},
	Bdsk-Url-1 = {https://doi.org/10.1215/S0012-7094-04-12621-1}}

@article{KW,
	Author = {A.G. Konheim and B. Weiss},
	Date-Added = {2016-03-30 20:43:57 +0000},
	Date-Modified = {2016-03-30 20:43:57 +0000},
	Journal = {SIAM J. Appl. Math.},
	Number = {6},
	Pages = {1266-1274},
	Title = {An occupancy discipline and applications},
	Volume = {14},
	Year = {1966},
	DOI = {10.1137/0114101}}

@article{sqconj,
	Author = {N. Loehr and G. Warrington},
	Date-Added = {2016-03-30 20:43:57 +0000},
	Date-Modified = {2016-03-30 20:43:57 +0000},
	Journal = {Trans. Amer. Math. Soc.},
	Number = {2},
	Pages = {649-669},
	Title = {Square $q,t$-lattice paths and $\nabla(p_n)$},
	Volume = {359},
	Year = {2007}}

@article{macoriginal,
	Author = {I.G. Macdonald},
	Date-Added = {2016-03-30 20:43:57 +0000},
	Date-Modified = {2017-11-12 17:28:15 +0000},
	Journal = {Actes du 20e S\'eminaire Lotharingien},
	Pages = {131--171},
	Title = {{A new class of symmetric functions}},
	Volume = {Publ. I.R.M.A. Strasbourg},
	Year = {1988}}

@book{macbook,
    AUTHOR = {Macdonald, I.G.},
     TITLE = {Symmetric functions and {H}all polynomials},
    SERIES = {Oxford Mathematical Monographs},
   EDITION = {Second},
      NOTE = {With contributions by A. Zelevinsky,
              Oxford Science Publications},
 PUBLISHER = {The Clarendon Press, Oxford University Press, New York},
      YEAR = {1995},
     PAGES = {475 pp.},
   MRCLASS = {05E05 (05-02 20C30 20C33 20K01 33C80 33D80)},
  MRNUMBER = {1354144 (96h:05207)},
MRREVIEWER = {John R. Stembridge}}