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@article {CM_2015,
    AUTHOR = {Carlsson, Erik and Mellit, Anton},
     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},
      ISSN = {0894-0347},
   MRCLASS = {05E10 (05E05 33D52)},
  MRNUMBER = {3787405},
MRREVIEWER = {Tanja Stojadinovi\'{c}},
       DOI = {10.1090/jams/893},
       URL = {https://doi.org/10.1090/jams/893},
}
	
	
	

	
@article {HHLRU-2003,
    AUTHOR = {Haglund, J. and Haiman, M. and Loehr, N. and Remmel, J. B. and
              Ulyanov, A.},
     TITLE = {A combinatorial formula for the character of the diagonal
              coinvariants},
   JOURNAL = {Duke Math. J.},
  FJOURNAL = {Duke Mathematical Journal},
    VOLUME = {126},
      YEAR = {2005},
    NUMBER = {2},
     PAGES = {195--232},
      ISSN = {0012-7094},
   MRCLASS = {05E10 (05A30 20C30)},
  MRNUMBER = {2115257},
MRREVIEWER = {Edward E. Allen},
       DOI = {10.1215/S0012-7094-04-12621-1},
       URL = {https://doi.org/10.1215/S0012-7094-04-12621-1},
}




@article {GCM_2017,
    AUTHOR = {Carlsson, Erik and Gorsky, Eugene and Mellit, Anton},
     TITLE = {The {$\mathbb{A}_{q,t}$} algebra and parabolic flag {H}ilbert
              schemes},
   JOURNAL = {Math. Ann.},
  FJOURNAL = {Mathematische Annalen},
    VOLUME = {376},
      YEAR = {2020},
    NUMBER = {3-4},
     PAGES = {1303--1336},
      ISSN = {0025-5831},
   MRCLASS = {16W50 (05E16 14C05 16E35 19G38 33C52 57K18)},
  MRNUMBER = {4081116},
MRREVIEWER = {Primo\v{z} Moravec},
       DOI = {10.1007/s00208-019-01898-1},
       URL = {https://doi.org/10.1007/s00208-019-01898-1},
}




@article{Ion_2022,
	doi = {10.1017/s1474748022000445},
	url = {https://doi.org/10.1017%2Fs1474748022000445},
	year = 2022,
	month = {sep},
	publisher = {Cambridge University Press ({CUP})},
	pages = {1--46},
	author = {Bogdan Ion and Dongyu Wu},
	title = {The stable limit {DAHA} and the double {D}yck path Algebra},
	journal = {Journal of the Institute of Mathematics of Jussieu}
}







@article {C_2001,
    AUTHOR = {Cherednik, Ivan},
     TITLE = {Double affine {H}ecke algebras and difference {F}ourier
              transforms},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {152},
      YEAR = {2003},
    NUMBER = {2},
     PAGES = {213--303},
      ISSN = {0020-9910},
   MRCLASS = {20C08 (05E05 17B37)},
  MRNUMBER = {1974888},
       DOI = {10.1007/s00222-002-0240-0},
       URL = {https://doi.org/10.1007/s00222-002-0240-0},
}





@book {Stanley,
    AUTHOR = {Stanley, Richard P.},
     TITLE = {Enumerative combinatorics. {V}ol. 2},
    SERIES = {Cambridge Studies in Advanced Mathematics},
    VOLUME = {62},
      NOTE = {With a foreword by Gian-Carlo Rota and appendix 1 by Sergey
              Fomin},
 PUBLISHER = {Cambridge University Press, Cambridge},
      YEAR = {1999},
     PAGES = {xii+581},
      ISBN = {0-521-56069-1; 0-521-78987-7},
   MRCLASS = {05A15 (05-02 05E05 05E10 68R05)},
  MRNUMBER = {1676282},
MRREVIEWER = {Ira Gessel},
       DOI = {10.1017/CBO9780511609589},
       URL = {https://doi.org/10.1017/CBO9780511609589},
}





@article {haglund2007combinatorial,
    AUTHOR = {Haglund, J. and Haiman, M. and Loehr, N.},
     TITLE = {A combinatorial formula for nonsymmetric {M}acdonald
              polynomials},
   JOURNAL = {Amer. J. Math.},
  FJOURNAL = {American Journal of Mathematics},
    VOLUME = {130},
      YEAR = {2008},
    NUMBER = {2},
     PAGES = {359--383},
      ISSN = {0002-9327},
   MRCLASS = {05E05},
  MRNUMBER = {2405160},
MRREVIEWER = {Pavlo Pylyavskyy},
       DOI = {10.1353/ajm.2008.0015},
       URL = {https://doi.org/10.1353/ajm.2008.0015},
}


@article {Haglund_2004,
    AUTHOR = {Haglund, J.},
     TITLE = {A combinatorial model for the {M}acdonald polynomials},
   JOURNAL = {Proc. Natl. Acad. Sci. USA},
  FJOURNAL = {Proceedings of the National Academy of Sciences of the United
              States of America},
    VOLUME = {101},
      YEAR = {2004},
    NUMBER = {46},
     PAGES = {16127--16131},
      ISSN = {0027-8424},
   MRCLASS = {05E05},
  MRNUMBER = {2114585},
MRREVIEWER = {Ira Gessel},
       DOI = {10.1073/pnas.0405567101},
       URL = {https://doi.org/10.1073/pnas.0405567101},
}



@misc {IW_2022,
    AUTHOR = {Ion, Bogdan and Wu, Dongyu},
     TITLE = {Unpublished Work}},
      YEAR = {2022},
}