Edit Profile (opens in new tab) Reading, Nathan Compute Distance To: Compute Author ID: reading.nathan Published as: Reading, Nathan Documents Indexed: 48 Publications since 1999 Co-Authors: 15 Co-Authors with 20 Joint Publications 326 Co-Co-Authors all top 5 Co-Authors 28 single-authored 7 Speyer, David E. 4 Barnard, Emily 3 Stella, Salvatore 2 Fomin, Sergey Vladimirovich 2 Thomas, Hugh Ross 1 Ehrenborg, Richard 1 Iyama, Osamu 1 Klivans, Caroline J. 1 Law, Shirley 1 Meehan, Emily 1 Mehan, Emily 1 Polster, Shira 1 Reiten, Idun 1 Viel, Shira 1 Waugh, Debra J. all top 5 Serials 6 The Electronic Journal of Combinatorics 5 Transactions of the American Mathematical Society 3 Journal of Combinatorial Theory. Series A 3 IMRN. International Mathematics Research Notices 2 Algebra Universalis 2 Proceedings of the American Mathematical Society 2 Order 2 SIAM Journal on Discrete Mathematics 2 Journal of Algebraic Combinatorics 2 Séminaire Lotharingien de Combinatoire 1 Discrete Mathematics 1 Beiträge zur Algebra und Geometrie 1 Advances in Mathematics 1 Compositio Mathematica 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 European Journal of Combinatorics 1 Selecta Mathematica. New Series 1 Annals of Combinatorics 1 Journal of the European Mathematical Society (JEMS) 1 Journal of Combinatorial Algebra 1 Algebraic Combinatorics all top 5 Fields 32 Group theory and generalizations (20-XX) 29 Combinatorics (05-XX) 19 Order, lattices, ordered algebraic structures (06-XX) 17 Convex and discrete geometry (52-XX) 13 Commutative algebra (13-XX) 6 Associative rings and algebras (16-XX) 6 Manifolds and cell complexes (57-XX) 3 Nonassociative rings and algebras (17-XX) 2 Algebraic geometry (14-XX) 1 General algebraic systems (08-XX) 1 Category theory; homological algebra (18-XX) 1 Geometry (51-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 44 Publications have been cited 804 times in 375 Documents Cited by ▼ Year ▼ Cambrian lattices. Zbl 1106.20033Reading, Nathan 110 2006 Generalized cluster complexes and Coxeter combinatorics. Zbl 1117.52017Fomin, Sergey; Reading, Nathan 66 2005 Clusters, Coxeter-sortable elements and noncrossing partitions. Zbl 1189.05022Reading, Nathan 65 2007 Root systems and generalized associahedra. Zbl 1147.52005Fomin, Sergey; Reading, Nathan 51 2007 Cambrian fans. Zbl 1213.20038Reading, Nathan; Speyer, David E. 48 2009 Sortable elements and Cambrian lattices. Zbl 1184.20038Reading, Nathan 42 2007 Lattice congruences, fans and Hopf algebras. Zbl 1133.20027Reading, Nathan 40 2005 Lattice congruences of the weak order. Zbl 1097.20036Reading, Nathan 34 2004 Sortable elements in infinite Coxeter groups. Zbl 1231.20036Reading, Nathan; Speyer, David E. 32 2011 Noncrossing arc diagrams and canonical join representations. Zbl 1314.05015Reading, Nathan 28 2015 Lattice theory of the poset of regions. Zbl 1404.06004Reading, N. 26 2016 Lattice and order properties of the poset of regions in a hyperplane arrangement. Zbl 1092.06006Reading, Nathan 24 2003 Order dimension, strong Bruhat order and lattice properties for posets. Zbl 1007.05097Reading, Nathan 24 2002 Noncrossing partitions and the shard intersection order. Zbl 1290.05163Reading, Nathan 24 2011 Universal geometric cluster algebras. Zbl 1328.13034Reading, Nathan 23 2014 Lattice structure of Weyl groups via representation theory of preprojective algebras. Zbl 1443.16016Iyama, Osamu; Reading, Nathan; Reiten, Idun; Thomas, Hugh 22 2018 The Hopf algebra of diagonal rectangulations. Zbl 1246.16027Law, Shirley; Reading, Nathan 18 2012 Combinatorial frameworks for cluster algebras. Zbl 1330.05167Reading, Nathan; Speyer, David E. 17 2016 The cd-index of Bruhat intervals. Zbl 1067.20050Reading, Nathan 15 2004 Chains in the noncrossing partition lattice. Zbl 1168.05008Reading, Nathan 15 2008 Universal geometric cluster algebras from surfaces. Zbl 1326.57046Reading, Nathan 14 2014 Cambrian frameworks for cluster algebras of affine type. Zbl 1423.13131Reading, Nathan; Speyer, David E. 11 2018 Finite Coxeter groups and the weak order. Zbl 1388.20056Reading, N. 11 2016 From the Tamari lattice to Cambrian lattices and beyond. Zbl 1292.20044Reading, Nathan 9 2012 Generic rectangulations. Zbl 1237.05040Reading, Nathan 8 2012 Coxeter-bicatalan combinatorics. Zbl 1387.05270Barnard, Emily; Reading, Nathan 8 2018 Initial-seed recursions and dualities for \(d\)-vectors. Zbl 1423.13132Reading, Nathan; Stella, Salvatore 7 2018 A combinatorial approach to scattering diagrams. Zbl 1446.13016Reading, Nathan 6 2020 The order dimension of the poset of regions in a hyperplane arrangement. Zbl 1044.52010Reading, Nathan 6 2003 Universal geometric coefficients for the once-punctured torus. Zbl 1327.13081Reading, Nathan 6 2014 An affine almost positive roots model. Zbl 1454.13038Reading, Nathan; Stella, Salvatore 5 2020 Sortable elements for quivers with cycles. Zbl 1215.20039Reading, Nathan; Speyer, David E. 4 2010 A Cambrian framework for the oriented cycle. Zbl 1329.05166Reading, Nathan; Speyer, David E. 3 2015 Noncrossing partitions, clusters and the Coxeter plane. Zbl 1208.05008Reading, Nathan 3 2010 Non-negative cd-coefficients of Gorenstein* posets. Zbl 1033.06001Reading, Nathan 3 2004 Scattering fans. Zbl 1457.13046Reading, Nathan 3 2020 Lattice homomorphisms between weak orders. Zbl 07056830Reading, Nathan 2 2019 Universal geometric coefficients for the four-punctured sphere. Zbl 1423.13117Barnard, Emily; Meehan, Emily; Reading, Nathan; Viel, Shira 2 2018 Coxeter arrangements in three dimensions. Zbl 1352.52030Ehrenborg, Richard; Klivans, Caroline; Reading, Nathan 1 2016 The order dimension of Bruhat order on infinite Coxeter groups. Zbl 1067.20051Reading, Nathan; Waugh, Debra J. 1 2004 Universal geometric coefficients for the four-punctured sphere (extended abstract). Zbl 1335.05208Barnard, Emily; Mehan, Emily; Polster, Shira; Reading, Nathan 1 2015 The fundamental theorem of finite semidistributive lattices. Zbl 1485.06003Reading, Nathan; Speyer, David E.; Thomas, Hugh 1 2021 The action of a Coxeter element on an affine root system. Zbl 1481.20142Reading, Nathan; Stella, Salvatore 1 2020 Noncrossing partitions and the shard intersection order. Zbl 1391.05283Reading, Nathan 1 2009 The fundamental theorem of finite semidistributive lattices. Zbl 1485.06003Reading, Nathan; Speyer, David E.; Thomas, Hugh 1 2021 A combinatorial approach to scattering diagrams. Zbl 1446.13016Reading, Nathan 6 2020 An affine almost positive roots model. Zbl 1454.13038Reading, Nathan; Stella, Salvatore 5 2020 Scattering fans. Zbl 1457.13046Reading, Nathan 3 2020 The action of a Coxeter element on an affine root system. Zbl 1481.20142Reading, Nathan; Stella, Salvatore 1 2020 Lattice homomorphisms between weak orders. Zbl 07056830Reading, Nathan 2 2019 Lattice structure of Weyl groups via representation theory of preprojective algebras. Zbl 1443.16016Iyama, Osamu; Reading, Nathan; Reiten, Idun; Thomas, Hugh 22 2018 Cambrian frameworks for cluster algebras of affine type. Zbl 1423.13131Reading, Nathan; Speyer, David E. 11 2018 Coxeter-bicatalan combinatorics. Zbl 1387.05270Barnard, Emily; Reading, Nathan 8 2018 Initial-seed recursions and dualities for \(d\)-vectors. Zbl 1423.13132Reading, Nathan; Stella, Salvatore 7 2018 Universal geometric coefficients for the four-punctured sphere. Zbl 1423.13117Barnard, Emily; Meehan, Emily; Reading, Nathan; Viel, Shira 2 2018 Lattice theory of the poset of regions. Zbl 1404.06004Reading, N. 26 2016 Combinatorial frameworks for cluster algebras. Zbl 1330.05167Reading, Nathan; Speyer, David E. 17 2016 Finite Coxeter groups and the weak order. Zbl 1388.20056Reading, N. 11 2016 Coxeter arrangements in three dimensions. Zbl 1352.52030Ehrenborg, Richard; Klivans, Caroline; Reading, Nathan 1 2016 Noncrossing arc diagrams and canonical join representations. Zbl 1314.05015Reading, Nathan 28 2015 A Cambrian framework for the oriented cycle. Zbl 1329.05166Reading, Nathan; Speyer, David E. 3 2015 Universal geometric coefficients for the four-punctured sphere (extended abstract). Zbl 1335.05208Barnard, Emily; Mehan, Emily; Polster, Shira; Reading, Nathan 1 2015 Universal geometric cluster algebras. Zbl 1328.13034Reading, Nathan 23 2014 Universal geometric cluster algebras from surfaces. Zbl 1326.57046Reading, Nathan 14 2014 Universal geometric coefficients for the once-punctured torus. Zbl 1327.13081Reading, Nathan 6 2014 The Hopf algebra of diagonal rectangulations. Zbl 1246.16027Law, Shirley; Reading, Nathan 18 2012 From the Tamari lattice to Cambrian lattices and beyond. Zbl 1292.20044Reading, Nathan 9 2012 Generic rectangulations. Zbl 1237.05040Reading, Nathan 8 2012 Sortable elements in infinite Coxeter groups. Zbl 1231.20036Reading, Nathan; Speyer, David E. 32 2011 Noncrossing partitions and the shard intersection order. Zbl 1290.05163Reading, Nathan 24 2011 Sortable elements for quivers with cycles. Zbl 1215.20039Reading, Nathan; Speyer, David E. 4 2010 Noncrossing partitions, clusters and the Coxeter plane. Zbl 1208.05008Reading, Nathan 3 2010 Cambrian fans. Zbl 1213.20038Reading, Nathan; Speyer, David E. 48 2009 Noncrossing partitions and the shard intersection order. Zbl 1391.05283Reading, Nathan 1 2009 Chains in the noncrossing partition lattice. Zbl 1168.05008Reading, Nathan 15 2008 Clusters, Coxeter-sortable elements and noncrossing partitions. Zbl 1189.05022Reading, Nathan 65 2007 Root systems and generalized associahedra. Zbl 1147.52005Fomin, Sergey; Reading, Nathan 51 2007 Sortable elements and Cambrian lattices. Zbl 1184.20038Reading, Nathan 42 2007 Cambrian lattices. Zbl 1106.20033Reading, Nathan 110 2006 Generalized cluster complexes and Coxeter combinatorics. Zbl 1117.52017Fomin, Sergey; Reading, Nathan 66 2005 Lattice congruences, fans and Hopf algebras. Zbl 1133.20027Reading, Nathan 40 2005 Lattice congruences of the weak order. Zbl 1097.20036Reading, Nathan 34 2004 The cd-index of Bruhat intervals. Zbl 1067.20050Reading, Nathan 15 2004 Non-negative cd-coefficients of Gorenstein* posets. Zbl 1033.06001Reading, Nathan 3 2004 The order dimension of Bruhat order on infinite Coxeter groups. Zbl 1067.20051Reading, Nathan; Waugh, Debra J. 1 2004 Lattice and order properties of the poset of regions in a hyperplane arrangement. Zbl 1092.06006Reading, Nathan 24 2003 The order dimension of the poset of regions in a hyperplane arrangement. Zbl 1044.52010Reading, Nathan 6 2003 Order dimension, strong Bruhat order and lattice properties for posets. Zbl 1007.05097Reading, Nathan 24 2002 all cited Publications top 5 cited Publications all top 5 Cited by 354 Authors 29 Pilaud, Vincent 25 Reading, Nathan 15 Mühle, Henri 15 Thomas, Hugh Ross 14 McConville, Thomas 12 Garver, Alexander 11 Barnard, Emily 10 Stella, Salvatore 9 Ceballos, Cesar 9 Stump, Christian 7 Hohlweg, Christophe 7 Igusa, Kiyoshi 6 Reiner, Victor 6 Speyer, David E. 5 Defant, Colin 5 Kallipoliti, Myrto 5 Manneville, Thibault 5 Mizuno, Yuya 5 Pons, Viviane 5 Reiten, Idun 5 Rhoades, Brendon 5 Santocanale, Luigi 5 Zhu, Bin 4 Armstrong, Drew 4 Athanasiadis, Christos A. 4 Gubitosi, Viviana 4 Hopkins, Samuel Francis 4 Kobayashi, Masato 4 Labbé, Jean-Philippe 4 Lange, Carsten 4 Marsh, Bethany Rose 4 Santos, Francisco 4 Todorov, Gordana 4 Tzanaki, Eleni 3 Brüstle, Thomas 3 Buan, Aslak Bakke 3 Cao, Peigen 3 Chang, Wen 3 Chapoton, Frédéric 3 Chapuy, Guillaume 3 Dermenjian, Aram 3 Ehrenborg, Richard 3 Gobet, Thomas 3 Gyoda, Yasuaki 3 Hanson, Eric J. 3 Hultman, Axel 3 Incitti, Federico 3 Iyama, Osamu 3 Josuat-Vergès, Matthieu 3 Li, Fang 3 Meehan, Emily 3 Mütze, Torsten 3 Nájera Chávez, Alfredo 3 Nelson, Luke 3 Ripoll, Vivien 3 Rognerud, Baptiste 3 Rupel, Dylan C. 3 Schiffler, Ralf 3 Schroll, Sibylle 3 Wehrung, Friedrich 2 Abdallah, Nancy 2 Allegretti, Dylan Gregory Lucasi 2 Araujo-Pardo, Gabriela 2 Ardila, Federico 2 Arkani-Hamed, Nima 2 Baur, Karin 2 Blanco, Saúl A. 2 Bossinger, Lara 2 Bostan, Alin 2 Brenti, Francesco 2 Chatel, Grégory 2 Clifton, Alexander 2 Coelho Simões, Raquel 2 Cuntz, Michael Joachim 2 Dillery, Peter 2 Douvropoulos, Theo 2 Enomoto, Haruhisa 2 Eu, Sen-Peng 2 Fishel, Susanna 2 Fraser, Chris 2 Fu, Tung-Shan 2 Gabarro-Arpa, Jacques 2 Garcia, Monica 2 Hansson, Mikael 2 He, Song 2 Hermes, Stephen 2 Hoang, Hung P. 2 Keller, Bernhard 2 Kimura, Yuta 2 Krattenthaler, Christian Friedrich 2 Kumar, Vinod 2 Lassalle, Michel 2 Lee, Eunjeong 2 Murai, Satoshi 2 Musiker, Gregg 2 Nakanishi, Tomoki 2 Novelli, Jean-Christophe 2 Oliveros, Deborah 2 Padrol, Arnau 2 Palu, Yann ...and 254 more Authors all top 5 Cited in 81 Serials 26 The Electronic Journal of Combinatorics 23 Advances in Mathematics 23 Journal of Combinatorial Theory. Series A 23 Séminaire Lotharingien de Combinatoire 21 Journal of Algebra 18 European Journal of Combinatorics 18 Advances in Applied Mathematics 13 Transactions of the American Mathematical Society 12 Journal of Algebraic Combinatorics 11 Annals of Combinatorics 10 Journal of Pure and Applied Algebra 9 Proceedings of the American Mathematical Society 9 Order 8 Mathematische Zeitschrift 8 Algebraic Combinatorics 7 Discrete Mathematics 7 Compositio Mathematica 6 Communications in Algebra 5 Discrete & Computational Geometry 5 Selecta Mathematica. New Series 5 Algebras and Representation Theory 5 Journal of Algebra and its Applications 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Algebra Universalis 4 Journal of High Energy Physics 4 Combinatorial Theory 3 Israel Journal of Mathematics 3 SIAM Journal on Discrete Mathematics 3 Experimental Mathematics 2 Acta Mathematica Vietnamica 2 Glasgow Mathematical Journal 2 Memoirs of the American Mathematical Society 2 Pacific Journal of Mathematics 2 Combinatorica 2 Mathematica Bohemica 2 International Journal of Algebra and Computation 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Journal of Mathematical Chemistry 2 Journal of Integer Sequences 2 Journal of the European Mathematical Society (JEMS) 2 Science China. Mathematics 2 Forum of Mathematics, Sigma 2 Journal of Combinatorial Algebra 1 Communications in Mathematical Physics 1 Discrete Applied Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Beiträge zur Algebra und Geometrie 1 Acta Mathematica 1 Annales de l’Institut Fourier 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Czechoslovak Mathematical Journal 1 Fuzzy Sets and Systems 1 Geometriae Dedicata 1 Inventiones Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Mathematische Annalen 1 Monatshefte für Mathematik 1 Nagoya Mathematical Journal 1 Osaka Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Theoretical Computer Science 1 Bulletin of the Iranian Mathematical Society 1 Linear Algebra and its Applications 1 Proceedings of the National Academy of Sciences of the United States of America 1 Expositiones Mathematicae 1 The Australasian Journal of Combinatorics 1 Algebra Colloquium 1 St. Petersburg Mathematical Journal 1 Transformation Groups 1 Taiwanese Journal of Mathematics 1 Acta Mathematica Sinica. English Series 1 Algebraic & Geometric Topology 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Oberwolfach Reports 1 Frontiers of Mathematics in China 1 Ars Mathematica Contemporanea 1 Transactions on Combinatorics 1 Arnold Mathematical Journal 1 European Journal of Mathematics all top 5 Cited in 38 Fields 234 Combinatorics (05-XX) 110 Group theory and generalizations (20-XX) 105 Associative rings and algebras (16-XX) 103 Order, lattices, ordered algebraic structures (06-XX) 86 Commutative algebra (13-XX) 79 Convex and discrete geometry (52-XX) 35 Category theory; homological algebra (18-XX) 22 Algebraic geometry (14-XX) 17 Nonassociative rings and algebras (17-XX) 11 Number theory (11-XX) 11 Geometry (51-XX) 10 Quantum theory (81-XX) 9 Manifolds and cell complexes (57-XX) 8 Computer science (68-XX) 6 Algebraic topology (55-XX) 5 Mathematical logic and foundations (03-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Differential geometry (53-XX) 4 Probability theory and stochastic processes (60-XX) 3 Special functions (33-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Mechanics of particles and systems (70-XX) 2 General algebraic systems (08-XX) 2 Topological groups, Lie groups (22-XX) 2 Difference and functional equations (39-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 \(K\)-theory (19-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Partial differential equations (35-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year