%% This BibTeX bibliography file was created using BibDesk. %% http://bibdesk.sourceforge.net/ %% Created for Anna Vanden Wyngaerd at 2018-03-28 10:46:26 +0200 %% Saved with string encoding Unicode (UTF-8) @article{Rhoades-2016, Adsnote = {Provided by the SAO/NASA Astrophysics Data System}, Adsurl = {http://adsabs.harvard.edu/abs/2016arXiv160504007R}, Archiveprefix = {arXiv}, Author = {{Rhoades}, B.}, Date-Added = {2018-03-08 13:52:55 +0000}, Date-Modified = {2018-03-08 13:53:08 +0000}, Eprint = {1605.04007}, Journal = {ArXiv e-prints}, Keywords = {Mathematics - Combinatorics}, Month = may, Primaryclass = {math.CO}, Title = {{Ordered set partition statistics and the Delta Conjecture}}, Year = 2016} @article{Remmel-Wilson-2015, Author = {Remmel, Jeffrey B. and Wilson, A.T.}, Date-Added = {2018-03-07 17:53:57 +0000}, Date-Modified = {2018-03-07 17:54:18 +0000}, Fjournal = {Journal of Combinatorial Theory. Series A}, Journal = {J. Combin. Theory Ser. A}, Mrclass = {05A18 (05A15)}, Mrnumber = {3345306}, Mrreviewer = {Damir Yeliussizov}, Pages = {242--277}, Title = {An extension of {M}ac{M}ahon's equidistribution theorem to ordered set partitions}, Url = {https://doi.org/10.1016/j.jcta.2015.03.012}, Volume = {134}, Year = {2015}, Bdsk-Url-1 = {https://doi.org/10.1016/j.jcta.2015.03.012}} @article{Wilson-article-2015, Adsnote = {Provided by the SAO/NASA Astrophysics Data System}, Adsurl = {http://adsabs.harvard.edu/abs/2015arXiv151002684W}, Archiveprefix = {arXiv}, Author = {{Wilson}, A.T.}, Date-Added = {2018-03-07 17:49:06 +0000}, Date-Modified = {2018-03-09 09:59:17 +0000}, Eprint = {1510.02684}, Journal = {ArXiv e-prints}, Keywords = {Mathematics - Combinatorics}, Month = oct, Primaryclass = {math.CO}, Title = {{A weighted sum over generalized Tesler matrices}}, Year = 2015} @article{Egge-Haglund-Killpatrick-Kremer-2003, Author = {Egge, E.S. and Haglund, J. and Killpatrick, K. and Kremer, D.}, Date-Added = {2018-01-25 10:13:40 +0000}, Date-Modified = {2018-01-25 10:14:14 +0000}, Fjournal = {Electronic Journal of Combinatorics}, Journal = {Electron. J. Combin.}, Mrclass = {05A15 (05E05)}, Mrnumber = {1975766}, Mrreviewer = {Ira Gessel}, Pages = {Research Paper 16, 21 pp.}, Title = {A {S}chr\"oder generalization of {H}aglund's statistic on {C}atalan paths}, Url = {http://www.combinatorics.org/Volume_10/Abstracts/v10i1r16.html}, Volume = {10}, Year = {2003}, Bdsk-Url-1 = {http://www.combinatorics.org/Volume_10/Abstracts/v10i1r16.html}} @article{Leven-2016, Adsnote = {Provided by the SAO/NASA Astrophysics Data System}, Adsurl = {http://adsabs.harvard.edu/abs/2016arXiv160106249S}, Archiveprefix = {arXiv}, Author = {{Sergel Leven}, E.}, Date-Added = {2018-01-25 10:03:00 +0000}, Date-Modified = {2018-01-25 10:05:00 +0000}, Eprint = {1601.06249}, Journal = {ArXiv e-prints}, Keywords = {Mathematics - Combinatorics}, Month = jan, Primaryclass = {math.CO}, Title = {{A proof of the Square Paths Conjecture}}, Year = 2016} @article{Garsia-Haiman-2003, Author = {Garsia, A. and Haiman, M.}, TITLE = {A graded representation model for {M}acdonald's polynomials}, JOURNAL = {Proc. Nat. Acad. Sci. U.S.A.}, FJOURNAL = {Proceedings of the National Academy of Sciences of the United States of America}, VOLUME = {90}, YEAR = {1993}, NUMBER = {8}, PAGES = {3607--3610}, MRCLASS = {05E05 (05E10 20C30)}, MRNUMBER = {1214091}, MRREVIEWER = {John R. Stembridge}, DOI = {10.1073/pnas.90.8.3607},} @article{Garsia-Hicks-Stout-2011, Author = {Garsia, Adriano and Hicks, Angela and Stout, Andrew}, Date-Added = {2018-01-24 16:34:52 +0000}, Date-Modified = {2018-01-24 16:35:17 +0000}, Fjournal = {Journal of Combinatorics}, Journal = {J. Comb.}, Mrclass = {05A05 (05A15 05E05)}, Mrnumber = {2913193}, Number = {2}, Pages = {193--229}, Title = {The case {$k=2$} of the shuffle conjecture}, Url = {https://doi.org/10.4310/JOC.2011.v2.n2.a2}, Volume = {2}, Year = {2011}, Bdsk-Url-1 = {https://doi.org/10.4310/JOC.2011.v2.n2.a2}} @article{Loehr-Remmel-plethystic-2011, 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}} @misc{DAdderio-Iraci-polyominoes-2017, eprinttype = {arXiv}, Author = {{D'Adderio}, M. and {Iraci}, A.}, Eprint = {1712.08787}, Title = {{Parallelogram polyominoes, partially labelled Dyck paths, and the Delta conjecture (FULL VERSION)}}, Year = 2017} @article{Loehr-Warrington-square-2007, Author = {Loehr, Nicholas A. and Warrington, Gregory S.}, Date-Added = {2018-01-24 15:53:30 +0000}, Date-Modified = {2018-01-24 15:54:02 +0000}, Fjournal = {Transactions of the American Mathematical Society}, Journal = {Trans. Amer. Math. Soc.}, Mrclass = {05E10 (20C30)}, Mrnumber = {2255191}, Mrreviewer = {Kendra Killpatrick}, Number = {2}, Pages = {649--669}, Title = {Square {$q,t$}-lattice paths and {$\nabla(p_n)$}}, Url = {https://doi.org/10.1090/S0002-9947-06-04044-X}, Volume = {359}, Year = {2007}, Bdsk-Url-1 = {https://doi.org/10.1090/S0002-9947-06-04044-X}} @article{Can-Loehr-2006, Author = {Can, Mahir and Loehr, Nicholas}, Date-Added = {2018-01-24 15:43:39 +0000}, Date-Modified = {2018-01-24 15:44:22 +0000}, Fjournal = {Journal of Combinatorial Theory. Series A}, Journal = {J. Combin. Theory Ser. A}, Mrclass = {05E05 (33D99)}, Mrnumber = {2259069}, Mrreviewer = {Eric S. Egge}, Number = {7}, Pages = {1419--1434}, Title = {A proof of the {$q,t$}-square conjecture}, Url = {https://doi.org/10.1016/j.jcta.2006.01.002}, Volume = {113}, Year = {2006}, Bdsk-Url-1 = {https://doi.org/10.1016/j.jcta.2006.01.002}} @article{Aval-Bergeron-Garsia-2015, Author = {Aval, J.-C. and Bergeron, F. and Garsia, A.}, Date-Added = {2018-01-23 11:09:38 +0000}, Date-Modified = {2018-01-23 11:09:38 +0000}, Fjournal = {Journal of Combinatorial Theory. Series A}, Journal = {J. Combin. Theory Ser. A}, Mrclass = {05B50 (05E05)}, Mrnumber = {3311337}, Mrreviewer = {Ira Gessel}, Pages = {32--57}, Title = {Combinatorics of labelled parallelogram polyominoes}, Url = {https://doi.org/10.1016/j.jcta.2014.12.003}, Volume = {132}, Year = {2015}, Bdsk-Url-1 = {https://doi.org/10.1016/j.jcta.2014.12.003}} @article{Aval-DAdderio-Dukes-Hicks-LeBorgne-2014, Author = {Aval, Jean-Christophe and D'Adderio, Michele and Dukes, Mark and Hicks, Angela and Le Borgne, Yvan}, Date-Added = {2018-01-23 11:09:38 +0000}, Date-Modified = {2018-01-23 11:09:38 +0000}, Fjournal = {Journal of Combinatorial Theory. Series A}, Journal = {J. Combin. Theory Ser. A}, Mrclass = {05B50 (05E05)}, Mrnumber = {3157811}, Mrreviewer = {Anton Vladimirovich Shutov}, Pages = {271--286}, Title = {Statistics on parallelogram polyominoes and a {$q,t$}-analogue of the {N}arayana numbers}, Url = {https://doi.org/10.1016/j.jcta.2013.09.001}, Volume = {123}, Year = {2014}, Bdsk-Url-1 = {https://doi.org/10.1016/j.jcta.2013.09.001}} @misc{DAdderio-VandenWyngaerd-2017, eprinttype = {arXiv}, Author = {{D'Adderio}, M. and {Vanden Wyngaerd}, A.}, Eprint = {1709.08736}, Title = {{Decorated Dyck paths, the Delta conjecture, and a new q,t-square}}, Year = 2017} @article{Haglund-Schroeder-2004, Author = {Haglund, J.}, TITLE = {A proof of the {$q,t$}-{S}chr\"oder conjecture}, JOURNAL = {Int. Math. Res. Not.}, FJOURNAL = {International Mathematics Research Notices}, YEAR = {2004}, NUMBER = {11}, PAGES = {525--560}, MRCLASS = {05E05 (33D80)}, MRNUMBER = {2038776}, MRREVIEWER = {Edward E. Allen}, DOI = {10.1155/S1073792804132509}} @article{Haglund-Haiman-Loehr-Remmel-Ulyanov-2005, 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}, Url = {https://doi.org/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{Haglund-Remmel-Wilson-2015, Author = {{Haglund}, J. and {Remmel}, J. and {Wilson}, A.T.}, Title = {{The Delta Conjecture}}, JOURNAL = {Trans. Amer. Math. Soc.}, FJOURNAL = {Transactions of the American Mathematical Society}, VOLUME = {370}, YEAR = {2018}, NUMBER = {6}, PAGES = {4029--4057}, MRCLASS = {05E05 (05E10)}, MRNUMBER = {3811519}, DOI = {10.1090/tran/7096}} @article{Loehr-2005, Author = {Loehr, N.A.}, Date-Added = {2018-01-23 11:09:38 +0000}, Date-Modified = {2018-01-23 11:09:38 +0000}, Fjournal = {Advances in Applied Mathematics}, Journal = {Adv. in Appl. Math.}, Mrclass = {05A30 (05A15)}, Mrnumber = {2110560}, Mrreviewer = {Catherine H. Yan}, Number = {2}, Pages = {408--425}, Title = {Combinatorics of {$q$}, {$t$}-parking functions}, Url = {https://doi.org/10.1016/j.aam.2004.08.002}, Volume = {34}, Year = {2005}, Bdsk-Url-1 = {https://doi.org/10.1016/j.aam.2004.08.002}} @article{Loehr-Remmel-2004, Author = {Loehr, N.A. and Remmel, J.B.}, Date-Added = {2018-01-23 11:09:38 +0000}, Date-Modified = {2018-01-23 11:09:38 +0000}, Fjournal = {Electronic Journal of Combinatorics}, Journal = {Electron. J. Combin.}, Mrclass = {05E05 (05A10 11B65 20C30)}, Mrnumber = {2097334}, Mrreviewer = {Eric S. Egge}, Number = {1}, Pages = {Research Paper 68, 64 pp.}, Title = {Conjectured combinatorial models for the {H}ilbert series of generalized diagonal harmonics modules}, Url = {http://www.combinatorics.org/Volume_11/Abstracts/v11i1r68.html}, Volume = {11}, Year = {2004}, Bdsk-Url-1 = {http://www.combinatorics.org/Volume_11/Abstracts/v11i1r68.html}} @phdthesis{Wilson-PhD-2015, Author = {Wilson, A.T.}, Date-Added = {2018-01-23 11:09:38 +0000}, Date-Modified = {2018-01-23 11:09:38 +0000}, Mrclass = {Thesis}, Mrnumber = {3407349}, Institution = {University of California at San Diego}, Pages = {157}, Publisher = {ProQuest LLC, Ann Arbor, MI}, Title = {Generalized {S}huffle {C}onjectures for the {G}arsia-{H}aiman {D}elta {O}perator}, Url = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqm&rft_dat=xri:pqdiss:3709671}, Year = {2015}, Bdsk-Url-1 = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqm&rft_dat=xri:pqdiss:3709671}} @book{Macdonald-Book-1995, Author = {Macdonald, I.G.}, Date-Added = {2018-01-23 11:09:38 +0000}, Date-Modified = {2018-01-23 11:09:38 +0000}, Edition = {Second}, Mrclass = {05E05 (05-02 20C30 20C33 20K01 33C80 33D80)}, Mrnumber = {1354144}, Mrreviewer = {John R. 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Lothar. Combin.}, Mrclass = {05E05 (33D52)}, Mrnumber = {1701592}, Mrreviewer = {Yasmine B. Sanderson}, Note = {The Andrews Festschrift (Maratea, 1998)}, Pages = {Art. B42m, 45}, Title = {Explicit plethystic formulas for {M}acdonald {$q,t$}-{K}ostka coefficients}, Volume = {42}, Year = {1999}} @book{Haglund-Book-2008, Author = {Haglund, J.}, Date-Added = {2018-01-23 11:09:38 +0000}, Date-Modified = {2018-01-23 11:09:38 +0000}, Mrclass = {05E05 (05A05 05A30 33D52)}, Mrnumber = {2371044}, Mrreviewer = {Michael A. Zabrocki}, Note = {With an appendix on the combinatorics of Macdonald polynomials}, Pages = {viii+167}, Publisher = {American Mathematical Society, Providence, RI}, Series = {University Lecture Series}, Title = {The {$q$},{$t$}-{C}atalan numbers and the space of diagonal harmonics}, Volume = {41}, Year = {2008}} @article{Garsia-Haiman-PNAS-1993, Author = {Garsia, Adriano and Haiman, Mark}, Date-Added = {2018-01-23 11:09:38 +0000}, Date-Modified = {2018-03-28 08:39:24 +0000}, Fjournal = {Proceedings of the National Academy of Sciences of the United States of America}, Journal = {Proc. Nat. Acad. Sci. U.S.A.}, Mrclass = {05E05 (05E10 20C30)}, Mrnumber = {1214091}, Mrreviewer = {John R. Stembridge}, Number = {8}, Pages = {3607--3610}, Title = {A graded representation model for {M}acdonald's polynomials}, Url = {https://doi.org/10.1073/pnas.90.8.3607}, Volume = {90}, Year = {1993}, Bdsk-Url-1 = {https://doi.org/10.1073/pnas.90.8.3607}} @incollection{Bergeron-Garsia-ScienceFiction-1999, Author = {Bergeron, F. and Garsia, A. M.}, Booktitle = {Algebraic methods and {$q$}-special functions ({M}ontr\'eal, {QC}, 1996)}, Date-Added = {2018-01-23 11:09:38 +0000}, Date-Modified = {2018-01-23 11:09:38 +0000}, Mrclass = {20C30 (05E05 33D67 81R05)}, Mrnumber = {1726826}, Mrreviewer = {Yasmine B. Sanderson}, Pages = {1--52}, Publisher = {Amer. Math. Soc., Providence, RI}, Series = {CRM Proc. Lecture Notes}, Title = {Science fiction and {M}acdonald's polynomials}, Volume = {22}, Year = {1999}} @article{Bergeron-Garsia-Haiman-Tesler-Positivity-1999, Author = {Bergeron, F. and Garsia, A. M. and Haiman, M. and Tesler, G.}, Date-Added = {2018-01-23 11:09:38 +0000}, Date-Modified = {2018-01-23 11:09:38 +0000}, Fjournal = {Methods and Applications of Analysis}, Journal = {Methods Appl. Anal.}, Mrclass = {05E05 (33D52)}, Mrnumber = {1803316}, Mrreviewer = {Ang\`ele M. Hamel}, Note = {Dedicated to Richard A. Askey on the occasion of his 65th birthday, Part III}, Number = {3}, Pages = {363--420}, Title = {Identities and positivity conjectures for some remarkable operators in the theory of symmetric functions}, Url = {https://doi.org/10.4310/MAA.1999.v6.n3.a7}, Volume = {6}, Year = {1999}, Bdsk-Url-1 = {https://doi.org/10.4310/MAA.1999.v6.n3.a7}} @article{Bergeron-Haiman-2013, Author = {Bergeron, Fran\c{c}ois and Haiman, Mark}, Date-Added = {2018-01-23 11:09:38 +0000}, Date-Modified = {2018-01-23 11:09:38 +0000}, Fjournal = {International Journal of Algebra and Computation}, Journal = {Internat. J. 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Soc., Providence, RI}, Title = {Some new applications of the {S}tanley-{M}acdonald {P}ieri rules}, Year = {2016}} @article{Garsia-Haglund-qtCatalan-2002, Author = {Garsia, A. and Haglund, J.}, Date-Added = {2018-01-23 11:09:38 +0000}, Date-Modified = {2018-03-28 08:39:48 +0000}, Fjournal = {Discrete Mathematics}, Journal = {Discrete Math.}, Mrclass = {05E05 (05E10 33D45)}, Mrnumber = {1935784}, Mrreviewer = {Michael A. Zabrocki}, Note = {LaCIM 2000 Conference on Combinatorics, Computer Science and Applications (Montreal, QC)}, Number = {3}, Pages = {677--717}, Title = {A proof of the {$q,t$}-{C}atalan positivity conjecture}, Url = {https://doi.org/10.1016/S0012-365X(02)00343-6}, Volume = {256}, Year = {2002}, Bdsk-Url-1 = {https://doi.org/10.1016/S0012-365X(02)00343-6}} @article{Romero-Deltaq1-2017, Author = {Romero, M.}, Date-Added = {2018-01-23 11:09:38 +0000}, Date-Modified = {2018-01-23 11:09:38 +0000}, Fjournal = {Transactions of the American Mathematical Society}, Journal = {Trans. Amer. Math. Soc.}, Mrclass = {05E05 (05E10)}, Mrnumber = {3683116}, Number = {10}, Pages = {7509--7530}, Title = {The delta conjecture at {$q = 1$}}, Doi = {10.1090/tran/7140}, Volume = {369}, Year = {2017}, Bdsk-Url-1 = {https://doi.org/10.1090/tran/7140}} @misc{Garsia-Haglund-Remmel-Yoo-2017, Adsurl = {http://adsabs.harvard.edu/abs/2017arXiv171007078G}, Author = {{Garsia}, A. and {Haglund}, J. and {Remmel}, J.~B. and {Yoo}, M.}, Date-Added = {2018-01-23 11:09:38 +0000}, Date-Modified = {2018-03-28 08:41:35 +0000}, Eprint = {1710.07078}, Eprinttype = {arxiv}, Keywords = {Mathematics - Combinatorics}, Month = oct, Title = {{A proof of the Delta Conjecture when $q=0$}}, Year = 2017} @article{HHLRU-2005, 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}, Url = {https://doi.org/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{Haglund-Morse-Zabrocki-2012, Author = {Haglund, J. and Morse, J. and Zabrocki, M.}, Date-Added = {2018-01-23 11:09:38 +0000}, Date-Modified = {2018-01-23 11:09:38 +0000}, Fjournal = {Canadian Journal of Mathematics. Journal Canadien de Math\'ematiques}, Journal = {Canad. J. Math.}, Mrclass = {05E05 (33D52)}, Mrnumber = {2957232}, Mrreviewer = {Arthur L. B. Yang}, Number = {4}, Pages = {822--844}, Title = {A compositional shuffle conjecture specifying touch points of the {D}yck path}, Url = {https://doi.org/10.4153/CJM-2011-078-4}, Volume = {64}, Year = {2012}, Bdsk-Url-1 = {https://doi.org/10.4153/CJM-2011-078-4}} @article{Garsia-Haiman-qLagrange-1996, Author = {Garsia, A. 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}, Url = {https://doi.org/10.1023/A:1022476211638}, Volume = {5}, Year = {1996}, Bdsk-Url-1 = {https://doi.org/10.1023/A:1022476211638}} @article{Haiman-nfactorial-2001, Author = {Haiman, Mark}, Date-Added = {2018-01-23 11:09:38 +0000}, Date-Modified = {2018-01-23 11:09:38 +0000}, Fjournal = {Journal of the American Mathematical Society}, Journal = {J. Amer. Math. Soc.}, Mrclass = {14C05 (05E05 20C30 33D45)}, Mrnumber = {1839919}, Mrreviewer = {Claudio Procesi}, Number = {4}, Pages = {941--1006}, Title = {Hilbert schemes, polygraphs and the {M}acdonald positivity conjecture}, Url = {https://doi.org/10.1090/S0894-0347-01-00373-3}, Volume = {14}, Year = {2001}, Bdsk-Url-1 = {https://doi.org/10.1090/S0894-0347-01-00373-3}} @article{Haiman-Vanishing-2002, Author = {Haiman, Mark}, 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}, Url = {https://doi.org/10.1007/s002220200219}, Volume = {149}, Year = {2002}, Bdsk-Url-1 = {https://doi.org/10.1007/s002220200219}} @article{Carlsson-Mellit-ShuffleConj-2015, 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}} @misc{Zabrocki-4Catalan-2016, Adsnote = {Provided by the SAO/NASA Astrophysics Data System}, Adsurl = {http://adsabs.harvard.edu/abs/2016arXiv160903497Z}, Author = {{Zabrocki}, M.}, Date-Added = {2018-01-23 11:09:38 +0000}, Date-Modified = {2018-03-28 08:46:21 +0000}, Eprint = {1609.03497}, Eprinttype = {arXiv}, Keywords = {Mathematics - Combinatorics, 05E05}, Title = {{A proof of the $4$-variable Catalan polynomial of the Delta conjecture}}, Year = 2016}