Reading, Nathan; Speyer, David E.; Thomas, Hugh The fundamental theorem of finite semidistributive lattices. (English) Zbl 1485.06003 Sel. Math., New Ser. 27, No. 4, Paper No. 59, 53 p. (2021). Reviewer: Ivan Chajda (Přerov) MSC: 06B05 06A15 06B15 06D75 PDFBibTeX XMLCite \textit{N. Reading} et al., Sel. Math., New Ser. 27, No. 4, Paper No. 59, 53 p. (2021; Zbl 1485.06003) Full Text: DOI arXiv
Reading, Nathan A combinatorial approach to scattering diagrams. (English) Zbl 1446.13016 Algebr. Comb. 3, No. 3, 603-636 (2020). MSC: 13F60 14N35 14J33 05E10 05A15 20F55 PDFBibTeX XMLCite \textit{N. Reading}, Algebr. Comb. 3, No. 3, 603--636 (2020; Zbl 1446.13016) Full Text: DOI arXiv
Reading, Nathan Lattice homomorphisms between weak orders. (English) Zbl 1515.20203 Electron. J. Comb. 26, No. 2, Research Paper P2.23, 50 p. (2019). MSC: 20F55 06B10 PDFBibTeX XMLCite \textit{N. Reading}, Electron. J. Comb. 26, No. 2, Research Paper P2.23, 50 p. (2019; Zbl 1515.20203) Full Text: arXiv Link
Iyama, Osamu; Reading, Nathan; Reiten, Idun; Thomas, Hugh Lattice structure of Weyl groups via representation theory of preprojective algebras. (English) Zbl 1443.16016 Compos. Math. 154, No. 6, 1269-1305 (2018). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 16G10 05E10 06B10 18E40 20F55 PDFBibTeX XMLCite \textit{O. Iyama} et al., Compos. Math. 154, No. 6, 1269--1305 (2018; Zbl 1443.16016) Full Text: DOI arXiv
Barnard, Emily; Reading, Nathan Coxeter-bicatalan combinatorics. (English) Zbl 1387.05270 J. Algebr. Comb. 47, No. 2, 241-300 (2018). MSC: 05E15 05A15 20F55 PDFBibTeX XMLCite \textit{E. Barnard} and \textit{N. Reading}, J. Algebr. Comb. 47, No. 2, 241--300 (2018; Zbl 1387.05270) Full Text: DOI arXiv
Reading, Nathan Noncrossing arc diagrams and canonical join representations. (English) Zbl 1314.05015 SIAM J. Discrete Math. 29, No. 2, 736-750 (2015). MSC: 05A15 05A05 06B10 05E15 20B30 PDFBibTeX XMLCite \textit{N. Reading}, SIAM J. Discrete Math. 29, No. 2, 736--750 (2015; Zbl 1314.05015) Full Text: DOI arXiv
Reading, Nathan From the Tamari lattice to Cambrian lattices and beyond. (English) Zbl 1292.20044 Müller-Hoissen, Folkert (ed.) et al., Associahedra, Tamari lattices and related structures. Tamari memorial Festschrift. Basel: Birkhäuser (ISBN 978-3-0348-0404-2/hbk; 978-3-0348-0405-9/ebook). Progress in Mathematics 299, 293-322 (2012). MSC: 20F55 06A07 05E15 06B10 52C35 PDFBibTeX XMLCite \textit{N. Reading}, Prog. Math. 299, 293--322 (2012; Zbl 1292.20044) Full Text: DOI arXiv
Law, Shirley; Reading, Nathan The Hopf algebra of diagonal rectangulations. (English) Zbl 1246.16027 J. Comb. Theory, Ser. A 119, No. 3, 788-824 (2012). Reviewer: Earl J. Taft (New Brunswick) MSC: 16T30 16T05 05E05 05A05 PDFBibTeX XMLCite \textit{S. Law} and \textit{N. Reading}, J. Comb. Theory, Ser. A 119, No. 3, 788--824 (2012; Zbl 1246.16027) Full Text: DOI arXiv
Reading, Nathan Noncrossing partitions and the shard intersection order. (English) Zbl 1290.05163 J. Algebr. Comb. 33, No. 4, 483-530 (2011). MSC: 05E45 05A18 20F55 PDFBibTeX XMLCite \textit{N. Reading}, J. Algebr. Comb. 33, No. 4, 483--530 (2011; Zbl 1290.05163) Full Text: DOI arXiv
Reading, Nathan; Speyer, David E. Sortable elements in infinite Coxeter groups. (English) Zbl 1231.20036 Trans. Am. Math. Soc. 363, No. 2, 699-761 (2011). Reviewer: Erich W. Ellers (Toronto) MSC: 20F55 20F05 05E15 PDFBibTeX XMLCite \textit{N. Reading} and \textit{D. E. Speyer}, Trans. Am. Math. Soc. 363, No. 2, 699--761 (2011; Zbl 1231.20036) Full Text: DOI arXiv
Reading, Nathan; Speyer, David E. Cambrian fans. (English) Zbl 1213.20038 J. Eur. Math. Soc. (JEMS) 11, No. 2, 407-447 (2009). MSC: 20F55 13F60 05E15 06A07 52C35 PDFBibTeX XMLCite \textit{N. Reading} and \textit{D. E. Speyer}, J. Eur. Math. Soc. (JEMS) 11, No. 2, 407--447 (2009; Zbl 1213.20038) Full Text: DOI arXiv Link
Reading, Nathan Clusters, Coxeter-sortable elements and noncrossing partitions. (English) Zbl 1189.05022 Trans. Am. Math. Soc. 359, No. 12, 5931-5958 (2007). MSC: 05A18 05E15 05A15 20F55 PDFBibTeX XMLCite \textit{N. Reading}, Trans. Am. Math. Soc. 359, No. 12, 5931--5958 (2007; Zbl 1189.05022) Full Text: DOI arXiv
Reading, Nathan Cambrian lattices. (English) Zbl 1106.20033 Adv. Math. 205, No. 2, 313-353 (2006). Reviewer: Chen Chengdong (Shanghai) MSC: 20F55 06A07 52C35 05E15 PDFBibTeX XMLCite \textit{N. Reading}, Adv. Math. 205, No. 2, 313--353 (2006; Zbl 1106.20033) Full Text: DOI arXiv
Reading, Nathan Lattice congruences, fans and Hopf algebras. (English) Zbl 1133.20027 J. Comb. Theory, Ser. A 110, No. 2, 237-273 (2005). MSC: 20F55 05E05 06A07 06B10 16W30 52C35 PDFBibTeX XMLCite \textit{N. Reading}, J. Comb. Theory, Ser. A 110, No. 2, 237--273 (2005; Zbl 1133.20027) Full Text: DOI arXiv
Reading, Nathan Lattice congruences of the weak order. (English) Zbl 1097.20036 Order 21, No. 4, 315-344 (2004). Reviewer: Shi Jian-yi (Shanghai) MSC: 20F55 52C35 06A07 08A30 PDFBibTeX XMLCite \textit{N. Reading}, Order 21, No. 4, 315--344 (2004; Zbl 1097.20036) Full Text: DOI arXiv
Reading, Nathan The order dimension of the poset of regions in a hyperplane arrangement. (English) Zbl 1044.52010 J. Comb. Theory, Ser. A 104, No. 2, 265-285 (2003). Reviewer: J. L. Ramirez Alfonsin (Paris) MSC: 52C35 PDFBibTeX XMLCite \textit{N. Reading}, J. Comb. Theory, Ser. A 104, No. 2, 265--285 (2003; Zbl 1044.52010) Full Text: DOI arXiv