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Author ID: reading.nathan Recent zbMATH articles by "Reading, Nathan"
Published as: Reading, Nathan
Documents Indexed: 47 Publications since 1999
Co-Authors: 15 Co-Authors with 20 Joint Publications
310 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

42 Publications have been cited 769 times in 347 Documents Cited by Year
Cambrian lattices. Zbl 1106.20033
Reading, Nathan
101
2006
Clusters, Coxeter-sortable elements and noncrossing partitions. Zbl 1189.05022
Reading, Nathan
61
2007
Generalized cluster complexes and Coxeter combinatorics. Zbl 1117.52017
Fomin, Sergey; Reading, Nathan
60
2005
Root systems and generalized associahedra. Zbl 1147.52005
Fomin, Sergey; Reading, Nathan
48
2007
Cambrian fans. Zbl 1213.20038
Reading, Nathan; Speyer, David E.
45
2009
Sortable elements and Cambrian lattices. Zbl 1184.20038
Reading, Nathan
40
2007
Lattice congruences, fans and Hopf algebras. Zbl 1133.20027
Reading, Nathan
37
2005
Lattice congruences of the weak order. Zbl 1097.20036
Reading, Nathan
33
2004
Sortable elements in infinite Coxeter groups. Zbl 1231.20036
Reading, Nathan; Speyer, David E.
28
2011
Lattice theory of the poset of regions. Zbl 1404.06004
Reading, N.
26
2016
Noncrossing arc diagrams and canonical join representations. Zbl 1314.05015
Reading, Nathan
25
2015
Lattice and order properties of the poset of regions in a hyperplane arrangement. Zbl 1092.06006
Reading, Nathan
24
2003
Order dimension, strong Bruhat order and lattice properties for posets. Zbl 1007.05097
Reading, Nathan
23
2002
Noncrossing partitions and the shard intersection order. Zbl 1290.05163
Reading, Nathan
23
2011
Universal geometric cluster algebras. Zbl 1328.13034
Reading, Nathan
22
2014
Lattice structure of Weyl groups via representation theory of preprojective algebras. Zbl 1443.16016
Iyama, Osamu; Reading, Nathan; Reiten, Idun; Thomas, Hugh
18
2018
The cd-index of Bruhat intervals. Zbl 1067.20050
Reading, Nathan
15
2004
The Hopf algebra of diagonal rectangulations. Zbl 1246.16027
Law, Shirley; Reading, Nathan
15
2012
Chains in the noncrossing partition lattice. Zbl 1168.05008
Reading, Nathan
14
2008
Combinatorial frameworks for cluster algebras. Zbl 1330.05167
Reading, Nathan; Speyer, David E.
14
2016
Universal geometric cluster algebras from surfaces. Zbl 1326.57046
Reading, Nathan
11
2014
Cambrian frameworks for cluster algebras of affine type. Zbl 1423.13131
Reading, Nathan; Speyer, David E.
9
2018
Finite Coxeter groups and the weak order. Zbl 1388.20056
Reading, N.
9
2016
From the Tamari lattice to Cambrian lattices and beyond. Zbl 1292.20044
Reading, Nathan
8
2012
Coxeter-bicatalan combinatorics. Zbl 1387.05270
Barnard, Emily; Reading, Nathan
8
2018
Initial-seed recursions and dualities for \(d\)-vectors. Zbl 1423.13132
Reading, Nathan; Stella, Salvatore
7
2018
The order dimension of the poset of regions in a hyperplane arrangement. Zbl 1044.52010
Reading, Nathan
6
2003
Generic rectangulations. Zbl 1237.05040
Reading, Nathan
6
2012
A combinatorial approach to scattering diagrams. Zbl 1446.13016
Reading, Nathan
5
2020
Universal geometric coefficients for the once-punctured torus. Zbl 1327.13081
Reading, Nathan
5
2014
Sortable elements for quivers with cycles. Zbl 1215.20039
Reading, Nathan; Speyer, David E.
4
2010
Non-negative cd-coefficients of Gorenstein* posets. Zbl 1033.06001
Reading, Nathan
3
2004
An affine almost positive roots model. Zbl 1454.13038
Reading, Nathan; Stella, Salvatore
3
2020
A Cambrian framework for the oriented cycle. Zbl 1329.05166
Reading, Nathan; Speyer, David E.
3
2015
Noncrossing partitions, clusters and the Coxeter plane. Zbl 1208.05008
Reading, Nathan
2
2010
Scattering fans. Zbl 1457.13046
Reading, Nathan
2
2020
Lattice homomorphisms between weak orders. Zbl 07056830
Reading, Nathan
1
2019
The order dimension of Bruhat order on infinite Coxeter groups. Zbl 1067.20051
Reading, Nathan; Waugh, Debra J.
1
2004
Noncrossing partitions and the shard intersection order. Zbl 1391.05283
Reading, Nathan
1
2009
The fundamental theorem of finite semidistributive lattices. Zbl 07383336
Reading, Nathan; Speyer, David E.; Thomas, Hugh
1
2021
Coxeter arrangements in three dimensions. Zbl 1352.52030
Ehrenborg, Richard; Klivans, Caroline; Reading, Nathan
1
2016
Universal geometric coefficients for the four-punctured sphere (extended abstract). Zbl 1335.05208
Barnard, Emily; Mehan, Emily; Polster, Shira; Reading, Nathan
1
2015
The fundamental theorem of finite semidistributive lattices. Zbl 07383336
Reading, Nathan; Speyer, David E.; Thomas, Hugh
1
2021
A combinatorial approach to scattering diagrams. Zbl 1446.13016
Reading, Nathan
5
2020
An affine almost positive roots model. Zbl 1454.13038
Reading, Nathan; Stella, Salvatore
3
2020
Scattering fans. Zbl 1457.13046
Reading, Nathan
2
2020
Lattice homomorphisms between weak orders. Zbl 07056830
Reading, Nathan
1
2019
Lattice structure of Weyl groups via representation theory of preprojective algebras. Zbl 1443.16016
Iyama, Osamu; Reading, Nathan; Reiten, Idun; Thomas, Hugh
18
2018
Cambrian frameworks for cluster algebras of affine type. Zbl 1423.13131
Reading, Nathan; Speyer, David E.
9
2018
Coxeter-bicatalan combinatorics. Zbl 1387.05270
Barnard, Emily; Reading, Nathan
8
2018
Initial-seed recursions and dualities for \(d\)-vectors. Zbl 1423.13132
Reading, Nathan; Stella, Salvatore
7
2018
Lattice theory of the poset of regions. Zbl 1404.06004
Reading, N.
26
2016
Combinatorial frameworks for cluster algebras. Zbl 1330.05167
Reading, Nathan; Speyer, David E.
14
2016
Finite Coxeter groups and the weak order. Zbl 1388.20056
Reading, N.
9
2016
Coxeter arrangements in three dimensions. Zbl 1352.52030
Ehrenborg, Richard; Klivans, Caroline; Reading, Nathan
1
2016
Noncrossing arc diagrams and canonical join representations. Zbl 1314.05015
Reading, Nathan
25
2015
A Cambrian framework for the oriented cycle. Zbl 1329.05166
Reading, Nathan; Speyer, David E.
3
2015
Universal geometric coefficients for the four-punctured sphere (extended abstract). Zbl 1335.05208
Barnard, Emily; Mehan, Emily; Polster, Shira; Reading, Nathan
1
2015
Universal geometric cluster algebras. Zbl 1328.13034
Reading, Nathan
22
2014
Universal geometric cluster algebras from surfaces. Zbl 1326.57046
Reading, Nathan
11
2014
Universal geometric coefficients for the once-punctured torus. Zbl 1327.13081
Reading, Nathan
5
2014
The Hopf algebra of diagonal rectangulations. Zbl 1246.16027
Law, Shirley; Reading, Nathan
15
2012
From the Tamari lattice to Cambrian lattices and beyond. Zbl 1292.20044
Reading, Nathan
8
2012
Generic rectangulations. Zbl 1237.05040
Reading, Nathan
6
2012
Sortable elements in infinite Coxeter groups. Zbl 1231.20036
Reading, Nathan; Speyer, David E.
28
2011
Noncrossing partitions and the shard intersection order. Zbl 1290.05163
Reading, Nathan
23
2011
Sortable elements for quivers with cycles. Zbl 1215.20039
Reading, Nathan; Speyer, David E.
4
2010
Noncrossing partitions, clusters and the Coxeter plane. Zbl 1208.05008
Reading, Nathan
2
2010
Cambrian fans. Zbl 1213.20038
Reading, Nathan; Speyer, David E.
45
2009
Noncrossing partitions and the shard intersection order. Zbl 1391.05283
Reading, Nathan
1
2009
Chains in the noncrossing partition lattice. Zbl 1168.05008
Reading, Nathan
14
2008
Clusters, Coxeter-sortable elements and noncrossing partitions. Zbl 1189.05022
Reading, Nathan
61
2007
Root systems and generalized associahedra. Zbl 1147.52005
Fomin, Sergey; Reading, Nathan
48
2007
Sortable elements and Cambrian lattices. Zbl 1184.20038
Reading, Nathan
40
2007
Cambrian lattices. Zbl 1106.20033
Reading, Nathan
101
2006
Generalized cluster complexes and Coxeter combinatorics. Zbl 1117.52017
Fomin, Sergey; Reading, Nathan
60
2005
Lattice congruences, fans and Hopf algebras. Zbl 1133.20027
Reading, Nathan
37
2005
Lattice congruences of the weak order. Zbl 1097.20036
Reading, Nathan
33
2004
The cd-index of Bruhat intervals. Zbl 1067.20050
Reading, Nathan
15
2004
Non-negative cd-coefficients of Gorenstein* posets. Zbl 1033.06001
Reading, Nathan
3
2004
The order dimension of Bruhat order on infinite Coxeter groups. Zbl 1067.20051
Reading, Nathan; Waugh, Debra J.
1
2004
Lattice and order properties of the poset of regions in a hyperplane arrangement. Zbl 1092.06006
Reading, Nathan
24
2003
The order dimension of the poset of regions in a hyperplane arrangement. Zbl 1044.52010
Reading, Nathan
6
2003
Order dimension, strong Bruhat order and lattice properties for posets. Zbl 1007.05097
Reading, Nathan
23
2002
all top 5

Cited by 324 Authors

28 Pilaud, Vincent
24 Reading, Nathan
14 McConville, Thomas
14 Thomas, Hugh Ross
13 Mühle, Henri
12 Garver, Alexander
10 Stella, Salvatore
9 Barnard, Emily
9 Stump, Christian
8 Ceballos, Cesar
7 Hohlweg, Christophe
7 Igusa, Kiyoshi
6 Reiner, Victor
6 Speyer, David E.
5 Kallipoliti, Myrto
5 Manneville, Thibault
5 Mizuno, Yuya
5 Reiten, Idun
5 Rhoades, Brendon
5 Santocanale, Luigi
5 Zhu, Bin
4 Armstrong, Drew
4 Athanasiadis, Christos A.
4 Gubitosi, Viviana
4 Kobayashi, Masato
4 Labbé, Jean-Philippe
4 Lange, Carsten
4 Marsh, Bethany Rose
4 Pons, Viviane
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 Hopkins, Samuel Francis
3 Hultman, Axel
3 Incitti, Federico
3 Iyama, Osamu
3 Josuat-Vergès, Matthieu
3 Li, Fang
3 Mütze, Torsten
3 Nájera Chávez, Alfredo
3 Ripoll, Vivien
3 Rognerud, Baptiste
3 Rupel, Dylan C.
3 Schroll, Sibylle
3 Wehrung, Friedrich
2 Abdallah, Nancy
2 Allegretti, Dylan Gregory Lucasi
2 Araujo-Pardo, Gabriela
2 Ardila, Federico
2 Baur, Karin
2 Blanco, Saúl A.
2 Bossinger, Lara
2 Brenti, Francesco
2 Chatel, Grégory
2 Clifton, Alexander
2 Coelho Simões, Raquel
2 Cuntz, Michael Joachim
2 Defant, Colin
2 Dillery, Peter
2 Douvropoulos, Theo
2 Enomoto, Haruhisa
2 Eu, Sen-Peng
2 Fishel, Susanna
2 Fu, Tung-Shan
2 Gabarro-Arpa, Jacques
2 Garcia, Monica
2 Hanson, Eric J.
2 Hansson, Mikael
2 Hermes, Stephen
2 Hoang, Hung P.
2 Keller, Bernhard
2 Kimura, Yuta
2 Krattenthaler, Christian Friedrich
2 Lassalle, Michel
2 Meehan, Emily
2 Murai, Satoshi
2 Musiker, Gregg
2 Nelson, Luke
2 Novelli, Jean-Christophe
2 Oliveros, Deborah
2 Padrol, Arnau
2 Palu, Yann
2 Plamondon, Pierre-Guy
2 Ploog, David
2 Readdy, Margaret A.
2 Reutenauer, Christophe
2 Schiffler, Ralf
2 Schulte, Egon
2 Serhiyenko, Khrystyna
2 Seven, Ahmet I.
...and 224 more Authors
all top 5

Cited in 76 Serials

25 The Electronic Journal of Combinatorics
23 Journal of Combinatorial Theory. Series A
22 Advances in Mathematics
22 Séminaire Lotharingien de Combinatoire
19 Journal of Algebra
17 European Journal of Combinatorics
15 Advances in Applied Mathematics
12 Transactions of the American Mathematical Society
12 Journal of Algebraic Combinatorics
10 Journal of Pure and Applied Algebra
10 Annals of Combinatorics
9 Proceedings of the American Mathematical Society
9 Order
8 Mathematische Zeitschrift
7 Compositio Mathematica
7 Algebraic Combinatorics
6 Communications in Algebra
6 Discrete Mathematics
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
3 Israel Journal of Mathematics
3 SIAM Journal on Discrete Mathematics
3 Journal of High Energy Physics
2 Acta Mathematica Vietnamica
2 Memoirs of the American Mathematical Society
2 Combinatorica
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 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 Glasgow Mathematical Journal
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 Pacific Journal of Mathematics
1 Proceedings of the London Mathematical Society. Third Series
1 Theoretical Computer Science
1 Bulletin of the Iranian Mathematical Society
1 Mathematica Bohemica
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 Experimental Mathematics
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 Arnold Mathematical Journal
all top 5

Cited in 37 Fields

216 Combinatorics (05-XX)
106 Group theory and generalizations (20-XX)
99 Associative rings and algebras (16-XX)
97 Order, lattices, ordered algebraic structures (06-XX)
79 Commutative algebra (13-XX)
75 Convex and discrete geometry (52-XX)
34 Category theory; homological algebra (18-XX)
21 Algebraic geometry (14-XX)
16 Nonassociative rings and algebras (17-XX)
11 Geometry (51-XX)
9 Quantum theory (81-XX)
8 Number theory (11-XX)
7 Manifolds and cell complexes (57-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)
4 Computer science (68-XX)
3 Special functions (33-XX)
3 Mechanics of particles and systems (70-XX)
2 General algebraic systems (08-XX)
2 Topological groups, Lie groups (22-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 Dynamical systems and ergodic theory (37-XX)
1 Difference and functional equations (39-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