Works (52)
Updated: April 11th, 2023 10:13
2022 article
DOMINANCE PHENOMENA: MUTATION, SCATTERING AND CLUSTER ALGEBRAS
Reading, N. (2022, October 28). TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, Vol. 10.
arxiv.org (repository)
Sources: Web Of Science, ORCID
Added: November 21, 2022
2021 journal article
The fundamental theorem of finite semidistributive lattices
SELECTA MATHEMATICA-NEW SERIES, 27(4).
Sources: Web Of Science, ORCID
Added: September 13, 2021
2020 journal article
An affine almost positive roots model
Journal of Combinatorial Algebra.
author keywords: Almost-positive roots; compatibility degree; cluster algebras; denominator vectors; g-vectors; affine root systems; affine generalized associahedra; exchangeable roots
Source: ORCID
Added: April 28, 2020
2020 journal article
Scattering Fans
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2020(23), 9640–9673.
Sources: Web Of Science, ORCID
Added: January 25, 2021
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. http://www.scopus.com/inward/record.url?eid=2-s2.0-85067350483&partnerID=MN8TOARS
Source: ORCID
Added: December 4, 2019
2018 journal article
Coxeter-biCatalan combinatorics
JOURNAL OF ALGEBRAIC COMBINATORICS, 47(2), 241–300.
author keywords: Alternating arc diagram; Coxeter-Catalan combinatorics; Doubled root poset; Twin clusters; Twin noncrossing partitions; Twin nonnesting partitions; Twin sortable elements
Sources: Web Of Science, ORCID
Added: August 6, 2018
2018 journal article
INITIAL-SEED RECURSIONS AND DUALITIES FOR d-VECTORS
PACIFIC JOURNAL OF MATHEMATICS, 293(1), 179–206.
author keywords: cluster algebra; denominator vector; initial-seed recursion; marked surface
Sources: Web Of Science, ORCID
Added: August 6, 2018
2018 journal article
Lattice structure of Weyl groups via representation theory of preprojective algebras
COMPOSITIO MATHEMATICA, 154(6), 1269–1305.
author keywords: preprojective algebra; Weyl group; weak order; tau-tilting theory; brick; join-irreducible element; lattice congruence
Sources: Web Of Science, ORCID
Added: August 6, 2018
2018 journal article
Universal Geometric Coefficients for the Four-Punctured Sphere
Annals of Combinatorics, 22(1), 1–44.
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.
Sources: ORCID, Crossref
Added: June 30, 2019
2016 journal article
Combinatorial Frameworks for Cluster Algebras
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2016(1), 109–173.
Sources: Web Of Science, 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.
author keywords: Hyperplane arrangements; Finite Coxeter systems; Spherical geometry
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).
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).
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. http://www.scopus.com/inward/record.url?eid=2-s2.0-84951847857&partnerID=MN8TOARS
Sources: NC State University Libraries, ORCID
Added: August 6, 2018
2015 journal article
Coxeter-biCatalan combinatorics
Discrete Mathematics & Theoretical Computer Science.
Source: ORCID
Added: January 9, 2023
2015 journal article
NONCROSSING ARC DIAGRAMS AND CANONICAL JOIN REPRESENTATIONS
SIAM JOURNAL ON DISCRETE MATHEMATICS, 29(2), 736–750.
author keywords: canonical join representation; lattice congruence; noncrossing arc diagram; permutation; weak order
Sources: Web Of Science, ORCID
Added: August 6, 2018
2015 journal article
Universal geometric coefficients for the once-punctured torus
Séminaire Lotharingien De Combinatoire, B71e, Art. B71e, 29. http://math.univ-lyon1.fr/~slc/wpapers/s71reading.html
Sources: NC State University Libraries, ORCID
Added: July 28, 2019
2014 journal article
UNIVERSAL GEOMETRIC CLUSTER ALGEBRAS FROM SURFACES
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 366(12), 6647–6685.
Sources: Web Of Science, ORCID
Added: August 6, 2018
2014 journal article
Universal geometric cluster algebras
MATHEMATISCHE ZEITSCHRIFT, 277(1-2), 499–547.
Sources: Web Of Science, ORCID
Added: August 6, 2018
2012 journal article
Coarsening polyhedral complexes
Proc. Amer. Math. Soc., 140(10), 3593–3605.
Sources: NC State University Libraries, ORCID
Added: August 6, 2018
2012 chapter
From the Tamari lattice to Cambrian lattices and beyond
In F. Mueller-Hoissen, J. Pallo, & J. Stasheff (Eds.), Associahedra, Tamari Lattices and Related Structures: Tamari Memorial Festschrift (pp. 293–322).
Ed(s): F. Mueller-Hoissen, J. Pallo & J. Stasheff
Sources: ORCID, Web Of Science
Added: December 4, 2019
2012 journal article
Generic rectangulations
European Journal of Combinatorics, 33(4), 610–623.
Sources: Crossref, ORCID
Added: July 1, 2019
2012 journal article
The Hopf algebra of diagonal rectangulations
JOURNAL OF COMBINATORIAL THEORY SERIES A, 119(3), 788–824.
author keywords: Baxter permutation; Diagonal rectangulation; Hopf algebra
Sources: Web Of Science, ORCID
Added: August 6, 2018
2011 journal article
Noncrossing partitions and the shard intersection order
JOURNAL OF ALGEBRAIC COMBINATORICS, 33(4), 483–530.
author keywords: Noncrossing partition; Shard; Coxeter group; Weak order
Sources: Web Of Science, ORCID
Added: August 6, 2018
2011 journal article
SORTABLE ELEMENTS IN INFINITE COXETER GROUPS
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 363(2), 699–761.
Sources: Web Of Science, ORCID
Added: August 6, 2018
2010 journal article
Noncrossing partitions, clusters and the Coxeter plane
Séminaire Lotharingien De Combinatoire, 63, B63b. https://www.mat.univie.ac.at/~slc/wpapers/s63reading.html
Sources: ORCID, NC State University Libraries
Added: December 4, 2019
2010 journal article
Sortable elements for quivers with cycles
Electronic Journal of Combinatorics, 17(1), 1–19. http://www.scopus.com/inward/record.url?eid=2-s2.0-77955640004&partnerID=MN8TOARS
Source: ORCID
Added: January 16, 2020
2010 journal article
Sortable elements for quivers with cycles
The Electronic Journal of Combinatorics, 17(1), R90.
Sources: NC State University Libraries, ORCID
Added: December 4, 2019
2009 journal article
Cambrian fans
J. Eur. Math. Soc. (JEMS), 11(2), 407–447.
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. http://www.scopus.com/inward/record.url?eid=2-s2.0-79954628162&partnerID=MN8TOARS
Source: ORCID
Added: January 16, 2020
2008 journal article
Chains in the noncrossing partition lattice
SIAM JOURNAL ON DISCRETE MATHEMATICS, 22(3), 875–886.
author keywords: absolute order; Catalan number; chain enumeration; Coxeter element; Coxeter group; generalized cluster complex; noncrossing partition; parking function
Sources: Web Of Science, ORCID
Added: August 6, 2018
2007 journal article
Clusters, coxeter-sortable elements and noncrossing partitions
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 359(12), 5931–5958.
Sources: Web Of Science, 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. http://www.scopus.com/inward/record.url?eid=2-s2.0-84860725128&partnerID=MN8TOARS
Source: ORCID
Added: January 16, 2020
2007 chapter
Root systems and generalized associahedra
In Geometric Combinatorics (Vol. 13, pp. 63–131).
Sources: Crossref, ORCID
Added: July 1, 2019
2007 journal article
Sortable elements and Cambrian lattices
ALGEBRA UNIVERSALIS, 56(3-4), 411–437.
Sources: Web Of Science, ORCID
Added: August 6, 2018
2006 journal article
Cambrian lattices
Advances in Mathematics, 205(2), 313–353.
author keywords: cluster; Coxeter group; fiber polytope; generalized associahedron; lattice congruence; lattice quotient; Tamari lattice
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. http://www.scopus.com/inward/record.url?eid=2-s2.0-84860648750&partnerID=MN8TOARS
Source: ORCID
Added: January 16, 2020
2005 journal article
Generalized cluster complexes and Coxeter combinatorics
International Mathematics Research Notices, 2005(44), 2709–2757.
Sources: ORCID, NC State University Libraries
Added: December 4, 2019
2005 journal article
Lattice congruences, fans and Hopf algebras
Journal of Combinatorial Theory, Series A, 110(2), 237–273.
author keywords: Coexter group; fan poset; hyperplane arrangement; Malvenuto-Reutenauer Hopf algebra; pattern avoidance; permutohedron; poset of regions; weak order
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. http://www.combinatorics.org/Volume_11/Abstracts/v11i2r13.html
Sources: NC State University Libraries, ORCID
Added: July 10, 2019
2004 journal article
Lattice Congruences of the Weak Order
Order, 21(4), 315–344.
author keywords: Cambrian lattice; congruence uniform; Coxeter group; parabolic subgroup; poset of regions; shard; simplicial hyperplane arrangement; Tamari lattice; weak order
Sources: Crossref, ORCID
Added: July 1, 2019
2004 journal article
Non-negative cd-coefficients of Gorenstein∗ posets
Discrete Mathematics, 274(1-3), 323–329.
author keywords: cd-index; Charney-Davis conjecture; eulerian poset; flag f-vector; Gorenstein
Sources: Crossref, ORCID
Added: July 1, 2019
2004 journal article
The cd-index of Bruhat intervals
Electronic Journal of Combinatorics, 11(1 R), 1–25. http://www.scopus.com/inward/record.url?eid=2-s2.0-8744221555&partnerID=MN8TOARS
Source: ORCID
Added: January 16, 2020
2004 journal article
The cd-index of Bruhat intervals
The Electronic Journal of Combinatorics, 11(1), R74.
Sources: NC State University Libraries, 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.
author keywords: bounded lattice; Cayley lattice; congruence normal; congruence uniform; Coxeter group; critical pair; doubling; hyperplane arrangement; order dimension; order quotient; permutation lattice; poset of regions; semi-distributive lattice; simplicial; subcritical pair; supersolvable; weak order
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.
Sources: Crossref, ORCID
Added: July 1, 2019
2002 thesis
On the structure of Bruhat order
(ProQuest LLC, Ann Arbor, MI; p. 82). http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3041950
Source: ORCID
Added: December 4, 2019
2002 journal article
Order Dimension, Strong Bruhat Order and Lattice Properties for Posets
Order, 19(1), 73–100.
author keywords: Bruhat; clivage; congruence; Coxeter; critical complex; Dilworth; dissective; distributive lattice; MacNeille completion; monotone triangle; order dimension
Sources: ORCID, Web Of Science
Added: December 4, 2019
1999 journal article
Nim-Regularity of Graphs
The Electronic Journal of Combinatorics, 6(1), Research Paper 11, 8. http://www.combinatorics.org/Volume_6/Abstracts/v6i1r11.html
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. http://www.scopus.com/inward/record.url?eid=2-s2.0-27744592214&partnerID=MN8TOARS
Source: ORCID
Added: January 16, 2020
Employment
Updated: January 6th, 2020 11:03
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
