%% This BibTeX bibliography file was created using BibDesk. %% https://bibdesk.sourceforge.io/ %% Created for Sean Griffin at 2020-03-31 03:08:15 -0700 %% Saved with string encoding Unicode (UTF-8) @book{GesselQSym, Author = {Gessel, Ira M.}, Booktitle = {Combinatorics and algebra ({B}oulder, {C}olo., 1983)}, Date-Added = {2020-03-31 03:07:55 -0700}, Date-Modified = {2020-03-31 03:08:13 -0700}, Doi = {10.1090/conm/034/777705}, Mrclass = {05A17 (20C30)}, Mrnumber = {777705}, Mrreviewer = {J. D\'{e}sarm\'{e}nien}, Pages = {289--317}, Publisher = {Amer. Math. Soc., Providence, RI}, Series = {Contemp. Math.}, Title = {Multipartite {$P$}-partitions and inner products of skew {S}chur functions}, Volume = {34}, Year = {1984}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=777705}} @misc{Griffin-GPMod-FPSAC, Author = {Sean T. Griffin}, Date-Added = {2020-02-26 15:53:04 -0800}, Date-Modified = {2020-02-26 15:59:25 -0800}, Note = {Extended abstract. {T}o appear in {S}{\'e}m. {L}othar. {C}ombin.}, Title = {Ordered set partitions, {T}anisaki ideals, and rank varieties}, Year = {2020}} @article{Tymoczko-LinearConditions, Author = {Tymoczko, Julianna S.}, Date-Added = {2020-02-24 15:22:50 -0800}, Date-Modified = {2020-02-24 15:23:12 -0800}, Fjournal = {American Journal of Mathematics}, Journal = {Amer. J. Math.}, Mrclass = {14M15 (05E15 14L35 20G20)}, Mrnumber = {2275912}, Mrreviewer = {James E. Humphreys}, Number = {6}, Pages = {1587--1604}, Title = {Linear conditions imposed on flag varieties}, Url = {https://mathscinet.ams.org/mathscinet-getitem?mr=2275912}, Volume = {128}, Year = {2006}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=2275912}} @article{Pawlowski-Rhoades, Author = {Pawlowski, Brendan and Rhoades, Brendon}, Date-Added = {2020-02-22 17:02:28 -0800}, Date-Modified = {2020-02-22 17:02:59 -0800}, Doi = {10.1090/tran/7918}, Fjournal = {Transactions of the American Mathematical Society}, Journal = {Trans. Amer. Math. Soc.}, Mrclass = {05E05 (05E10 14M15)}, Mrnumber = {4029695}, Number = {11}, Pages = {8195--8248}, Title = {A flag variety for the {D}elta {C}onjecture}, Volume = {372}, Year = {2019}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=4029695}} @article{Rhoades-Wilson-Stirling, Author = {Rhoades, B. and Wilson, A. T.}, Date-Added = {2020-02-19 15:04:32 -0800}, Date-Modified = {2020-02-19 15:04:55 -0800}, Doi = {10.4310/JOC.2019.v10.n3.a1}, Fjournal = {Journal of Combinatorics}, Journal = {J. Comb.}, Mrclass = {05A17 (05A05 05A15 11B73)}, Mrnumber = {3960509}, Number = {3}, Pages = {411--431}, Title = {Line configurations and {$r$}-{S}tirling partitions}, Volume = {10}, Year = {2019}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=3960509}} @article{Hotta-Springer, Author = {Hotta, R. and Springer, T. A.}, Date-Added = {2020-02-08 15:36:27 -0800}, Date-Modified = {2020-02-08 15:36:39 -0800}, Doi = {10.1007/BF01418371}, Fjournal = {Inventiones Mathematicae}, Journal = {Invent. Math.}, Mrclass = {20G05}, Mrnumber = {486164}, Mrreviewer = {G. Lusztig}, Number = {2}, Pages = {113--127}, Title = {A specialization theorem for certain {W}eyl group representations and an application to the {G}reen polynomials of unitary groups}, Volume = {41}, Year = {1977}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=486164}} @article{LLT, Author = {Lascoux, Alain and Leclerc, Bernard and Thibon, Jean-Yves}, Date-Added = {2020-02-03 15:41:00 -0800}, Date-Modified = {2020-02-03 15:41:11 -0800}, Doi = {10.1063/1.531807}, Fjournal = {Journal of Mathematical Physics}, Journal = {J. Math. Phys.}, Mrclass = {05E10 (05E05 33D80 81R10)}, Mrnumber = {1434225}, Mrreviewer = {Thomas Scharf}, Number = {2}, Pages = {1041--1068}, Title = {Ribbon tableaux, {H}all-{L}ittlewood functions, quantum affine algebras, and unipotent varieties}, Volume = {38}, Year = {1997}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=1434225}} @article{GillespieThesis, Author = {Monks Gillespie, Maria}, Date-Added = {2020-01-30 17:59:05 -0800}, Date-Modified = {2020-02-19 14:07:02 -0800}, Fjournal = {Electronic Journal of Combinatorics}, Journal = {Electron. J. Combin.}, Mrclass = {05E05}, Mrnumber = {3512660}, Number = {2}, Pages = {P2.38, 64}, Title = {A combinatorial approach to the {$q,t$}-symmetry relation in {M}acdonald polynomials}, Url = {https://mathscinet.ams.org/mathscinet-getitem?mr=3512660}, Volume = {23}, Year = {2016}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=3512660}} @misc{Rhoades-Yu-Zhao, Author = {Rhoades, B. and Yu, T. and Zhao, Z.}, Date-Added = {2020-01-16 16:59:14 -0700}, Date-Modified = {2020-01-16 17:02:40 -0700}, Note = {In preparation}, Title = {Harmonic bases for generalized coinvariant algebras}} @misc{Mand, Author = {S. Corteel and O. Mandelshtam and L. Williams}, Date-Added = {2019-12-31 14:37:18 -0800}, Date-Modified = {2019-12-31 14:44:22 -0800}, Note = {arXiv:1811.01024}, Title = {From multiline queues to Macdonald polynomials via the exclusion process}, Year = {2019}} @article{PRV, Author = {Pr\'{e}ville-Ratelle, Louis-Fran\c{c}ois and Viennot, Xavier}, Date-Added = {2019-12-31 14:16:29 -0800}, Date-Modified = {2019-12-31 14:16:44 -0800}, Doi = {10.1090/tran/7004}, Fjournal = {Transactions of the American Mathematical Society}, Journal = {Trans. Amer. Math. Soc.}, Mrclass = {05A15 (05C30 05E10 05E40 06A07)}, Mrnumber = {3632566}, Mrreviewer = {Konrad P. Pi\'{o}ro}, Number = {7}, Pages = {5219--5239}, Title = {The enumeration of generalized {T}amari intervals}, opturl= {https://mathscinet.ams.org/mathscinet-getitem?mr=3632566}, Volume = {369}, Year = {2017}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=3632566}} @misc{Zabrocki, Abstract = {{We define a module that is an extension of the diagonal harmonics and whose graded Frobenius characteristic is conjectured to be the symmetric function expression which appears in `the Delta conjecture' of Haglund, Remmel and Wilson [arXiv:1509.07058].}}, Adsnote = {Provided by the SAO/NASA Astrophysics Data System}, Adsurl = {https://ui.adsabs.harvard.edu/abs/2019arXiv190208966Z}, Archiveprefix = {arXiv}, Author = {{Zabrocki}, Mike}, Date-Added = {2019-10-27 14:38:00 -0700}, Date-Modified = {2019-10-27 14:40:04 -0700}, Eid = {arXiv:1902.08966}, Eprint = {1902.08966}, Journal = {arXiv:1902.08966}, Keywords = {Mathematics - Combinatorics, 05E05, 05E10, 20C30}, Month = {Feb}, Primaryclass = {math.CO}, Title = {{A module for the Delta conjecture}}, Year = {2019}} @article{HaimanConjs, Author = {Haiman, Mark}, Date-Added = {2019-10-27 14:31:53 -0700}, Date-Modified = {2019-10-27 14:33:22 -0700}, Doi = {10.1023/A:1022450120589}, Fjournal = {Journal of Algebraic Combinatorics. An International Journal}, Journal = {J. Algebraic Combin.}, Mrclass = {20C30 (05E05)}, Mrnumber = {1256101}, Mrreviewer = {A. O. Morris}, Number = {1}, Pages = {17--76}, Title = {Conjectures on the quotient ring by diagonal invariants}, Volume = {3}, Year = {1994}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=1256101}} @article{Wilson, Author = {Wilson, A. T.}, Date-Added = {2019-10-20 16:36:13 -0700}, Date-Modified = {2020-02-19 14:06:52 -0800}, Fjournal = {Electronic Journal of Combinatorics}, Journal = {Electron. J. Combin.}, Mrclass = {05A19 (05A05 05A18 05E05)}, Mrnumber = {3484710}, Mrreviewer = {Zhicong Lin}, Number = {1}, Pages = {P1.5, 21}, Title = {An extension of {M}ac{M}ahon's equidistribution theorem to ordered multiset partitions}, Url = {https://mathscinet.ams.org/mathscinet-getitem?mr=3484710}, Volume = {23}, Year = {2016}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=3484710}} @misc{Griffin, Author = {Griffin, Sean T.}, Date-Added = {2019-09-27 13:37:12 -0700}, Date-Modified = {2019-10-27 14:42:13 -0700}, Note = {In preparation}, Title = {Ordered set partitions, {G}arsia-{P}rocesi modules, and rank varieties}, Year = {2019}} @article{Gessel-Griffin-Tewari, Author = {Gessel, Ira M. and Griffin, Sean T. and Tewari, Vasu}, Date-Added = {2019-09-27 12:49:19 -0700}, Date-Modified = {2019-09-27 12:49:31 -0700}, Doi = {10.1016/j.aim.2019.106814}, Fjournal = {Advances in Mathematics}, Journal = {Adv. Math.}, Mrclass = {05A19 (05A05 05E05 05E10 05E18 06A07)}, Mrnumber = {4008007}, Pages = {106814}, Title = {Labeled binary trees, subarrangements of the {C}atalan arrangements, and {S}chur positivity}, Volume = {356}, Year = {2019}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=4008007}} @article{Carlsson-Mellit, Author = {Carlsson, Erik and Mellit, Anton}, Date-Added = {2019-09-27 12:16:21 -0700}, Date-Modified = {2019-09-27 12:17:13 -0700}, Doi = {10.1090/jams/893}, Fjournal = {Journal of the American Mathematical Society}, Journal = {J. Amer. Math. Soc.}, Mrclass = {05E10 (05E05 33D52)}, Mrnumber = {3787405}, Mrreviewer = {Tanja Stojadinovi\'{c}}, Number = {3}, Pages = {661--697}, Title = {A proof of the shuffle conjecture}, opturl = {https://mathscinet.ams.org/mathscinet-getitem?mr=3787405}, Volume = {31}, Year = {2018}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=3787405}} @article{HHLplus, Author = {Haglund, J. and Haiman, M. and Loehr, N. and Remmel, J. B. and Ulyanov, A.}, Date-Added = {2019-09-27 12:15:35 -0700}, Date-Modified = {2019-09-27 12:16:04 -0700}, Doi = {10.1215/S0012-7094-04-12621-1}, 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}, Volume = {126}, Year = {2005}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=2115257}} @article{Haiman02, Author = {Haiman, Mark}, Date-Added = {2019-09-27 12:14:31 -0700}, Date-Modified = {2019-09-27 12:14:45 -0700}, Doi = {10.1007/s002220200219}, 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}, opturl = {https://mathscinet.ams.org/mathscinet-getitem?mr=1918676}, Volume = {149}, Year = {2002}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=1918676}} @incollection{Garsia-Haiman, Author = {Garsia, A. M. and Haiman, M.}, Date-Added = {2019-09-27 12:13:10 -0700}, Date-Modified = {2019-10-06 17:59:04 -0700}, Fjournal = {Electronic Journal of Combinatorics}, Journal = {Electron. J. Combin.}, Mrclass = {05E10 (05E05)}, Mrnumber = {1392509}, Mrreviewer = {Edward E. Allen}, Note = {The Foata Festschrift}, Number = {2}, Pages = {1--60}, Title = {Some natural bigraded {$S_n$}-modules and {$q,t$}-{K}ostka coefficients}, Url = {https://mathscinet.ams.org/mathscinet-getitem?mr=1392509}, Volume = {3}, Year = {1996}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=1392509}} @article{Haiman01, Author = {Haiman, Mark}, Date-Added = {2019-09-27 12:11:54 -0700}, Date-Modified = {2019-09-27 12:12:23 -0700}, Doi = {10.1090/S0894-0347-01-00373-3}, Fjournal = {Journal of the American Mathematical Society}, Journal = {J. Amer. Math. 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Hesselink}, Number = {1}, Pages = {1--14}, Title = {Fixed points under the action of unipotent elements of {${\rm SL}_{n}$} in the flag variety}, Url = {https://mathscinet.ams.org/mathscinet-getitem?mr=579665}, Volume = {24}, Year = {1979}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=579665}} @article{Fung, Author = {Fung, Francis Y. C.}, Date-Added = {2019-09-27 12:06:27 -0700}, Date-Modified = {2019-09-27 12:06:38 -0700}, Doi = {10.1016/S0001-8708(02)00072-5}, Fjournal = {Advances in Mathematics}, Journal = {Adv. Math.}, Mrclass = {20G05 (14L10 17B20)}, Mrnumber = {1994220}, Mrreviewer = {Jorge A. Vargas}, Number = {2}, Pages = {244--276}, Title = {On the topology of components of some {S}pringer fibers and their relation to {K}azhdan-{L}usztig theory}, Volume = {178}, Year = {2003}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=1994220}} @article{Fresse-Melnikov, Author = {Fresse, Lucas and Melnikov, Anna}, Date-Added = {2019-09-27 12:05:28 -0700}, Date-Modified = {2019-09-27 12:10:12 -0700}, Doi = {10.1007/s00029-010-0025-z}, Fjournal = {Selecta Mathematica. New Series}, Journal = {Selecta Math. (N.S.)}, Mrclass = {14M15 (20G05)}, Mrnumber = {2734337}, Mrreviewer = {Eric N. 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Joel}, Number = {5}, Pages = {452--456}, Title = {The fixed point set of a unipotent transformation on the flag manifold}, Url = {https://mathscinet.ams.org/mathscinet-getitem?mr=0485901}, Volume = {38}, Year = {1976}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=0485901}} @article{Borel, Author = {Borel, Armand}, Date-Added = {2019-09-27 11:55:07 -0700}, Date-Modified = {2019-09-27 11:55:24 -0700}, Doi = {10.2307/1969728}, Fjournal = {Annals of Mathematics. Second Series}, Journal = {Ann. of Math. (2)}, Mrclass = {56.0X}, Mrnumber = {51508}, Mrreviewer = {S. 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A-B}, Mrclass = {20C30 (14M15)}, Mrnumber = {472993}, Number = {7}, Pages = {A323--A324}, Title = {Sur une conjecture de {H}. {O}. {F}oulkes}, Url = {https://mathscinet.ams.org/mathscinet-getitem?mr=472993}, Volume = {286}, Year = {1978}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=472993}} @article{Kaliszewski-Morse, Author = {Kaliszewski, Ryan and Morse, Jennifer}, Date-Added = {2019-09-27 09:54:54 -0700}, Date-Modified = {2019-09-27 09:55:08 -0700}, Doi = {10.1016/j.ejc.2019.05.006}, Fjournal = {European Journal of Combinatorics}, Journal = {European J. Combin.}, Mrclass = {05E05}, Mrnumber = {3979340}, Pages = {354--377}, Title = {Colorful combinatorics and {M}acdonald polynomials}, opturl = {https://mathscinet.ams.org/mathscinet-getitem?mr=3979340}, Volume = {81}, Year = {2019}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=3979340}} @article{Kostant, Author = {Kostant, Bertram}, Date-Added = {2019-09-13 17:01:09 -0700}, Date-Modified = {2019-09-13 17:01:22 -0700}, Doi = {10.2307/2373130}, Fjournal = {American Journal of Mathematics}, Journal = {Amer. J. Math.}, Mrclass = {22.60 (20.80)}, Mrnumber = {158024}, Mrreviewer = {J. L. Koszul}, Pages = {327--404}, Title = {Lie group representations on polynomial rings}, Volume = {85}, Year = {1963}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=158024}} @incollection{Kraft, Author = {Kraft, Hanspeter}, Booktitle = {Young tableaux and {S}chur functors in algebra and geometry ({T}oru\'{n}, 1980)}, Date-Added = {2019-09-12 12:21:47 -0700}, Date-Modified = {2019-09-12 12:22:07 -0700}, Mrclass = {20C30 (14B05 14L30 14M15)}, Mrnumber = {646820}, Mrreviewer = {V. L. Popov}, Pages = {191--205}, Publisher = {Soc. Math. France, Paris}, Series = {Ast\'{e}risque}, Title = {Conjugacy classes and {W}eyl group representations}, Volume = {87}, Year = {1981}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=646820}} @article{Remmel-Wilson, Author = {Remmel, Jeffrey B. and Wilson, Andrew Timothy}, Date-Added = {2019-09-11 13:43:33 -0700}, Date-Modified = {2019-09-11 13:43:49 -0700}, Doi = {10.1016/j.jcta.2015.03.012}, 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}, Volume = {134}, Year = {2015}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=3345306}} @book{Eisenbud, Author = {Eisenbud, David}, Date-Added = {2019-09-10 10:58:03 -0700}, Date-Modified = {2020-02-24 16:27:44 -0800}, Doi = {10.1007/978-1-4612-5350-1}, Mrclass = {13-01 (14A05)}, Mrnumber = {1322960}, Mrreviewer = {Matthew Miller}, Pages = {xvi+785}, Publisher = {Springer-Verlag, New York}, Series = {Graduate Texts in Mathematics}, Title = {Commutative algebra}, Volume = {150}, Year = {1995}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=1322960}} @article{Church-Ellenberg-Farb, Author = {Church, Thomas and Ellenberg, Jordan S. and Farb, Benson}, Date-Added = {2019-09-10 09:12:34 -0700}, Date-Modified = {2019-09-27 14:05:02 -0700}, Doi = {10.1215/00127094-3120274}, Fjournal = {Duke Mathematical Journal}, Journal = {Duke Math. J.}, Mrclass = {20C30 (05E10 18B99 55R80)}, Mrnumber = {3357185}, Mrreviewer = {Nadia P. Mazza}, Number = {9}, Pages = {1833--1910}, Title = {F{I}-modules and stability for representations of symmetric groups}, Volume = {164}, Year = {2015}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=3357185}} @article{Draisma-Kuttler, Author = {Draisma, Jan and Kuttler, Jochen}, Date-Added = {2019-09-10 09:11:49 -0700}, Date-Modified = {2019-09-10 09:12:01 -0700}, Doi = {10.1215/00127094-2405170}, Fjournal = {Duke Mathematical Journal}, Journal = {Duke Math. J.}, Mrclass = {14A10 (15A69)}, Mrnumber = {3161311}, Mrreviewer = {Roberto Mu\~{n}oz}, Number = {1}, Pages = {35--63}, Title = {Bounded-rank tensors are defined in bounded degree}, Volume = {163}, Year = {2014}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=3161311}} @book{Macdonald, Author = {Macdonald, I. G.}, Date-Added = {2019-09-09 17:38:49 -0700}, Date-Modified = {2020-03-31 02:48:12 -0700}, Edition = {Second}, Mrclass = {05E05 (05-02 20C30 20C33 20K01 33C80 33D80)}, Mrnumber = {1354144}, Mrreviewer = {John R. Stembridge}, Pages = {x+475}, Publisher = {The Clarendon Press, Oxford University Press, New York}, Series = {Oxford Mathematical Monographs}, Title = {Symmetric functions and {H}all polynomials}, Url = {https://mathscinet.ams.org/mathscinet-getitem?mr=1354144}, Year = {1995}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=1354144}} @article{Billey-Coskun, Author = {Billey, S. and Coskun, I.}, Date-Added = {2019-09-09 09:53:30 -0700}, Date-Modified = {2019-09-09 09:53:44 -0700}, Doi = {10.1080/00927872.2011.551903}, Fjournal = {Communications in Algebra}, Journal = {Comm. 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