## Reading, Nathan

Compute Distance To:
 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)

### Citations contained in zbMATH Open

44 Publications have been cited 804 times in 375 Documents Cited by Year
Cambrian lattices. Zbl 1106.20033
Reading, Nathan
2006
Generalized cluster complexes and Coxeter combinatorics. Zbl 1117.52017
Fomin, Sergey; Reading, Nathan
2005
Clusters, Coxeter-sortable elements and noncrossing partitions. Zbl 1189.05022
Reading, Nathan
2007
Root systems and generalized associahedra. Zbl 1147.52005
Fomin, Sergey; Reading, Nathan
2007
Cambrian fans. Zbl 1213.20038
Reading, Nathan; Speyer, David E.
2009
Sortable elements and Cambrian lattices. Zbl 1184.20038
Reading, Nathan
2007
Lattice congruences, fans and Hopf algebras. Zbl 1133.20027
Reading, Nathan
2005
Lattice congruences of the weak order. Zbl 1097.20036
Reading, Nathan
2004
Sortable elements in infinite Coxeter groups. Zbl 1231.20036
Reading, Nathan; Speyer, David E.
2011
Noncrossing arc diagrams and canonical join representations. Zbl 1314.05015
Reading, Nathan
2015
Lattice theory of the poset of regions. Zbl 1404.06004
Reading, N.
2016
Lattice and order properties of the poset of regions in a hyperplane arrangement. Zbl 1092.06006
Reading, Nathan
2003
Order dimension, strong Bruhat order and lattice properties for posets. Zbl 1007.05097
Reading, Nathan
2002
Noncrossing partitions and the shard intersection order. Zbl 1290.05163
Reading, Nathan
2011
Universal geometric cluster algebras. Zbl 1328.13034
Reading, Nathan
2014
Lattice structure of Weyl groups via representation theory of preprojective algebras. Zbl 1443.16016
Iyama, Osamu; Reading, Nathan; Reiten, Idun; Thomas, Hugh
2018
The Hopf algebra of diagonal rectangulations. Zbl 1246.16027
Law, Shirley; Reading, Nathan
2012
Combinatorial frameworks for cluster algebras. Zbl 1330.05167
Reading, Nathan; Speyer, David E.
2016
The cd-index of Bruhat intervals. Zbl 1067.20050
Reading, Nathan
2004
Chains in the noncrossing partition lattice. Zbl 1168.05008
Reading, Nathan
2008
Universal geometric cluster algebras from surfaces. Zbl 1326.57046
Reading, Nathan
2014
Cambrian frameworks for cluster algebras of affine type. Zbl 1423.13131
Reading, Nathan; Speyer, David E.
2018
Finite Coxeter groups and the weak order. Zbl 1388.20056
Reading, N.
2016
From the Tamari lattice to Cambrian lattices and beyond. Zbl 1292.20044
Reading, Nathan
2012
Generic rectangulations. Zbl 1237.05040
Reading, Nathan
2012
Coxeter-bicatalan combinatorics. Zbl 1387.05270
Barnard, Emily; Reading, Nathan
2018
Initial-seed recursions and dualities for $$d$$-vectors. Zbl 1423.13132
Reading, Nathan; Stella, Salvatore
2018
A combinatorial approach to scattering diagrams. Zbl 1446.13016
Reading, Nathan
2020
The order dimension of the poset of regions in a hyperplane arrangement. Zbl 1044.52010
Reading, Nathan
2003
Universal geometric coefficients for the once-punctured torus. Zbl 1327.13081
Reading, Nathan
2014
An affine almost positive roots model. Zbl 1454.13038
Reading, Nathan; Stella, Salvatore
2020
Sortable elements for quivers with cycles. Zbl 1215.20039
Reading, Nathan; Speyer, David E.
2010
A Cambrian framework for the oriented cycle. Zbl 1329.05166
Reading, Nathan; Speyer, David E.
2015
Noncrossing partitions, clusters and the Coxeter plane. Zbl 1208.05008
Reading, Nathan
2010
Non-negative cd-coefficients of Gorenstein* posets. Zbl 1033.06001
Reading, Nathan
2004
Scattering fans. Zbl 1457.13046
Reading, Nathan
2020
Lattice homomorphisms between weak orders. Zbl 07056830
Reading, Nathan
2019
Universal geometric coefficients for the four-punctured sphere. Zbl 1423.13117
Barnard, Emily; Meehan, Emily; Reading, Nathan; Viel, Shira
2018
Coxeter arrangements in three dimensions. Zbl 1352.52030
Ehrenborg, Richard; Klivans, Caroline; Reading, Nathan
2016
The order dimension of Bruhat order on infinite Coxeter groups. Zbl 1067.20051
Reading, Nathan; Waugh, Debra J.
2004
Universal geometric coefficients for the four-punctured sphere (extended abstract). Zbl 1335.05208
Barnard, Emily; Mehan, Emily; Polster, Shira; Reading, Nathan
2015
The fundamental theorem of finite semidistributive lattices. Zbl 1485.06003
Reading, Nathan; Speyer, David E.; Thomas, Hugh
2021
The action of a Coxeter element on an affine root system. Zbl 1481.20142
Reading, Nathan; Stella, Salvatore
2020
Noncrossing partitions and the shard intersection order. Zbl 1391.05283
Reading, Nathan
2009
The fundamental theorem of finite semidistributive lattices. Zbl 1485.06003
Reading, Nathan; Speyer, David E.; Thomas, Hugh
2021
A combinatorial approach to scattering diagrams. Zbl 1446.13016
Reading, Nathan
2020
An affine almost positive roots model. Zbl 1454.13038
Reading, Nathan; Stella, Salvatore
2020
Scattering fans. Zbl 1457.13046
Reading, Nathan
2020
The action of a Coxeter element on an affine root system. Zbl 1481.20142
Reading, Nathan; Stella, Salvatore
2020
Lattice homomorphisms between weak orders. Zbl 07056830
Reading, Nathan
2019
Lattice structure of Weyl groups via representation theory of preprojective algebras. Zbl 1443.16016
Iyama, Osamu; Reading, Nathan; Reiten, Idun; Thomas, Hugh
2018
Cambrian frameworks for cluster algebras of affine type. Zbl 1423.13131
Reading, Nathan; Speyer, David E.
2018
Coxeter-bicatalan combinatorics. Zbl 1387.05270
Barnard, Emily; Reading, Nathan
2018
Initial-seed recursions and dualities for $$d$$-vectors. Zbl 1423.13132
Reading, Nathan; Stella, Salvatore
2018
Universal geometric coefficients for the four-punctured sphere. Zbl 1423.13117
Barnard, Emily; Meehan, Emily; Reading, Nathan; Viel, Shira
2018
Lattice theory of the poset of regions. Zbl 1404.06004
Reading, N.
2016
Combinatorial frameworks for cluster algebras. Zbl 1330.05167
Reading, Nathan; Speyer, David E.
2016
Finite Coxeter groups and the weak order. Zbl 1388.20056
Reading, N.
2016
Coxeter arrangements in three dimensions. Zbl 1352.52030
Ehrenborg, Richard; Klivans, Caroline; Reading, Nathan
2016
Noncrossing arc diagrams and canonical join representations. Zbl 1314.05015
Reading, Nathan
2015
A Cambrian framework for the oriented cycle. Zbl 1329.05166
Reading, Nathan; Speyer, David E.
2015
Universal geometric coefficients for the four-punctured sphere (extended abstract). Zbl 1335.05208
Barnard, Emily; Mehan, Emily; Polster, Shira; Reading, Nathan
2015
Universal geometric cluster algebras. Zbl 1328.13034
Reading, Nathan
2014
Universal geometric cluster algebras from surfaces. Zbl 1326.57046
Reading, Nathan
2014
Universal geometric coefficients for the once-punctured torus. Zbl 1327.13081
Reading, Nathan
2014
The Hopf algebra of diagonal rectangulations. Zbl 1246.16027
Law, Shirley; Reading, Nathan
2012
From the Tamari lattice to Cambrian lattices and beyond. Zbl 1292.20044
Reading, Nathan
2012
Generic rectangulations. Zbl 1237.05040
Reading, Nathan
2012
Sortable elements in infinite Coxeter groups. Zbl 1231.20036
Reading, Nathan; Speyer, David E.
2011
Noncrossing partitions and the shard intersection order. Zbl 1290.05163
Reading, Nathan
2011
Sortable elements for quivers with cycles. Zbl 1215.20039
Reading, Nathan; Speyer, David E.
2010
Noncrossing partitions, clusters and the Coxeter plane. Zbl 1208.05008
Reading, Nathan
2010
Cambrian fans. Zbl 1213.20038
Reading, Nathan; Speyer, David E.
2009
Noncrossing partitions and the shard intersection order. Zbl 1391.05283
Reading, Nathan
2009
Chains in the noncrossing partition lattice. Zbl 1168.05008
Reading, Nathan
2008
Clusters, Coxeter-sortable elements and noncrossing partitions. Zbl 1189.05022
Reading, Nathan
2007
Root systems and generalized associahedra. Zbl 1147.52005
Fomin, Sergey; Reading, Nathan
2007
Sortable elements and Cambrian lattices. Zbl 1184.20038
Reading, Nathan
2007
Cambrian lattices. Zbl 1106.20033
Reading, Nathan
2006
Generalized cluster complexes and Coxeter combinatorics. Zbl 1117.52017
Fomin, Sergey; Reading, Nathan
2005
Lattice congruences, fans and Hopf algebras. Zbl 1133.20027
Reading, Nathan
2005
Lattice congruences of the weak order. Zbl 1097.20036
Reading, Nathan
2004
The cd-index of Bruhat intervals. Zbl 1067.20050
Reading, Nathan
2004
Non-negative cd-coefficients of Gorenstein* posets. Zbl 1033.06001
Reading, Nathan
2004
The order dimension of Bruhat order on infinite Coxeter groups. Zbl 1067.20051
Reading, Nathan; Waugh, Debra J.
2004
Lattice and order properties of the poset of regions in a hyperplane arrangement. Zbl 1092.06006
Reading, Nathan
2003
The order dimension of the poset of regions in a hyperplane arrangement. Zbl 1044.52010
Reading, Nathan
2003
Order dimension, strong Bruhat order and lattice properties for posets. Zbl 1007.05097
Reading, Nathan
2002
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)