Works (47)

2020 journal article

An affine almost positive roots model

Journal of Combinatorial Algebra.

Source: ORCID
Added: April 28, 2020

2020 journal article

The action of a Coxeter element on an affine root system

Proceedings of the American Mathematical Society.

Source: ORCID
Added: April 28, 2020

2019 journal article

Lattice homomorphisms between weak orders

Electron. J. Combin., 26(2), Paper 2.23, 50.

By: N. Reading

Source: ORCID
Added: December 4, 2019

2018 journal article

Coxeter-biCatalan combinatorics

Journal of Algebraic Combinatorics, 47(2), 241–300.

By: E. Barnard & N. Reading

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2018 journal article

Initial-seed recursions and dualities for $d$-vectors

Pacific J. Math., 293(1), 179–206.

By: N. Reading & S. Stella

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2018 journal article

Lattice structure of Weyl groups via representation theory of preprojective algebras

Compos. Math., 154(6), 1269–1305.

By: O. Iyama, N. Reading, I. Reiten & H. Thomas

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2018 journal article

Universal Geometric Coefficients for the Four-Punctured Sphere

Annals of Combinatorics, 22(1), 1–44.

By: E. Barnard, E. Meehan, N. Reading & S. Viel

Sources: Crossref, ORCID
Added: June 30, 2019

2017 journal article

Cambrian frameworks for cluster algebras of affine type

Transactions of the American Mathematical Society, 370(2), 1429–1468.

By: N. Reading & D. Speyer

Sources: ORCID, Crossref
Added: June 30, 2019

2016 journal article

Combinatorial frameworks for cluster algebras

Int. Math. Res. Not. IMRN, 2016(1), 109–173.

By: N. Reading & D. Speyer

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2016 journal article

Coxeter arrangements in three dimensions

Beiträge Zur Algebra Und Geometrie / Contributions to Algebra and Geometry, 57(4), 891–897.

By: R. Ehrenborg, C. Klivans & N. Reading

Sources: Crossref, ORCID
Added: June 30, 2019

2016 chapter

Finite Coxeter Groups and the Weak Order

In Lattice Theory: Special Topics and Applications (Vol. 2, pp. 489–561).

By: N. Reading

Sources: Crossref, ORCID
Added: July 1, 2019

2016 chapter

Lattice Theory of the Poset of Regions

In Lattice Theory: Special Topics and Applications (Vol. 2, pp. 399–487).

By: N. Reading

Sources: Crossref, ORCID
Added: July 1, 2019

2015 journal article

A Cambrian framework for the oriented cycle

Electron. J. Combin., 22(4), Paper 4.46, 21.

By: N. Reading & D. Speyer

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2015 journal article

Noncrossing arc diagrams and canonical join representations

SIAM J. Discrete Math., 29(2), 736–750.

By: N. Reading

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2015 journal article

Universal geometric coefficients for the once-punctured torus

Séminaire Lotharingien De Combinatoire, B71e, Art. B71e, 29.

By: N. Reading

Sources: NC State University Libraries, ORCID
Added: July 28, 2019

2014 journal article

Universal geometric cluster algebras

Math. Z., 277(1-2), 499–547.

By: N. Reading

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2014 journal article

Universal geometric cluster algebras from surfaces

Trans. Amer. Math. Soc., 366(12), 6647–6685.

By: N. Reading

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2012 journal article

Coarsening polyhedral complexes

Proc. Amer. Math. Soc., 140(10), 3593–3605.

By: N. Reading

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2012 chapter

From the Tamari lattice to Cambrian lattices and beyond

In Associahedra, Tamari lattices and related structures (Vol. 299, pp. 293–322).

By: N. Reading

Source: ORCID
Added: December 4, 2019

2012 journal article

Generic rectangulations

European Journal of Combinatorics, 33(4), 610–623.

By: N. Reading

Sources: Crossref, ORCID
Added: July 1, 2019

2012 journal article

The Hopf algebra of diagonal rectangulations

J. Combin. Theory Ser. A, 119(3), 788–824.

By: S. Law & N. Reading

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2011 journal article

Noncrossing partitions and the shard intersection order

J. Algebraic Combin., 33(4), 483–530.

By: N. Reading

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2011 journal article

Sortable elements in infinite Coxeter groups

Trans. Amer. Math. Soc., 363(2), 699–761.

By: N. Reading & D. Speyer

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2010 journal article

Noncrossing partitions, clusters and the Coxeter plane

Sém. Lothar. Combin., 63, Art. B63b, 32.

By: N. Reading

Source: ORCID
Added: December 4, 2019

2010 journal article

Sortable elements for quivers with cycles

Electron. J. Combin., 17(1), Research Paper 90, 19.

By: N. Reading & D. Speyer

Source: ORCID
Added: December 4, 2019

2010 journal article

Sortable elements for quivers with cycles

Electronic Journal of Combinatorics, 17(1), 1–19.

By: N. Reading & D. Speyert

Source: ORCID
Added: January 16, 2020

2009 journal article

Cambrian fans

J. Eur. Math. Soc. (JEMS), 11(2), 407–447.

By: N. Reading & D. Speyer

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2009 conference paper

Noncrossing partitions and the shard intersection order

FPSAC'09 - 21st International Conference on Formal Power Series and Algebraic Combinatorics, 745–756.

By: N. Reading

Source: ORCID
Added: January 16, 2020

2008 journal article

Chains in the noncrossing partition lattice

SIAM J. Discrete Math., 22(3), 875–886.

By: N. Reading

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2007 journal article

Clusters, Coxeter-sortable elements and noncrossing partitions

Trans. Amer. Math. Soc., 359(12), 5931–5958.

By: N. Reading

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2007 conference paper

Clusters, noncrossing partitions and the Coxeter plane

FPSAC'07 - 19th International Conference on Formal Power Series and Algebraic Combinatorics.

By: N. Reading

Source: ORCID
Added: January 16, 2020

2007 chapter

Root systems and generalized associahedra

In Geometric Combinatorics (Vol. 13, pp. 63–131).

By: S. Fomin & N. Reading

Sources: Crossref, ORCID
Added: July 1, 2019

2007 journal article

Sortable elements and Cambrian lattices

Algebra Universalis, 56(3-4), 411–437.

By: N. Reading

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2006 journal article

Cambrian lattices

Advances in Mathematics, 205(2), 313–353.

By: N. Reading

Sources: Crossref, ORCID
Added: July 1, 2019

2006 conference paper

Clusters, Coxeter-sortable elements and noncrossing partitions

FPSAC 2006 - Proceedings: 18th Annual International Conference on Formal Power Series and Algebraic Combinatorics, 275–281.

By: N. Reading

Source: ORCID
Added: January 16, 2020

2005 journal article

Generalized cluster complexes and Coxeter combinatorics

Int. Math. Res. Not., (44), 2709–2757.

By: S. Fomin & N. Reading

Source: ORCID
Added: December 4, 2019

2005 journal article

Lattice congruences, fans and Hopf algebras

Journal of Combinatorial Theory, Series A, 110(2), 237–273.

By: N. Reading

Sources: Crossref, ORCID
Added: July 1, 2019

2005 journal article

The order dimension of Bruhat order on infinite Coxeter groups

The Electronic Journal of Combinatorics, 11(2), Research Paper 13, 26.

By: N. Reading & D. Waugh

Sources: NC State University Libraries, ORCID
Added: July 10, 2019

2004 journal article

Lattice Congruences of the Weak Order

Order, 21(4), 315–344.

By: N. Reading

Sources: Crossref, ORCID
Added: July 1, 2019

2004 journal article

Non-negative cd-coefficients of Gorenstein∗ posets

Discrete Mathematics, 274(1-3), 323–329.

By: N. Reading

Sources: Crossref, ORCID
Added: July 1, 2019

2004 journal article

The cd-index of Bruhat intervals

Electron. J. Combin., 11(1), Research Paper 74, 25.

By: N. Reading

Source: ORCID
Added: December 4, 2019

2003 journal article

Lattice and order properties of the poset of regions in a hyperplane arrangement

Algebra Universalis, 50(2), 179–205.

By: N. Reading

Sources: Crossref, ORCID
Added: July 1, 2019

2003 journal article

The order dimension of the poset of regions in a hyperplane arrangement

Journal of Combinatorial Theory, Series A, 104(2), 265–285.

By: N. Reading

Sources: Crossref, ORCID
Added: July 1, 2019

2002 thesis

On the structure of Bruhat order

(p. 82). ProQuest LLC, Ann Arbor, MI.

By: N. Reading

Source: ORCID
Added: December 4, 2019

2002 journal article

Order dimension, strong Bruhat order and lattice properties for posets

Order, 19(1), 73–100.

By: N. Reading

Source: ORCID
Added: December 4, 2019

1999 journal article

Nim-Regularity of Graphs

The Electronic Journal of Combinatorics, 6(1), Research Paper 11, 8.

By: N. Reading

Sources: NC State University Libraries, ORCID
Added: July 10, 2019

1992 journal article

The thermodynamics of home-made ice cream

Journal of Chemical Education, 69(8), 658–661.

By: D. Gibbon, K. Kennedy, N. Reading & M. Quieroz

Source: ORCID
Added: January 16, 2020

Employment

2018 - present

North Carolina State University Raleigh, NC, US
Professor Mathematics

2012 - 2018

North Carolina State University Raleigh, NC, US
Associate Professor Mathematics

2006 - 2012

North Carolina State University Raleigh, NC, US
Assistant Professor Mathematics