2022 article
DOMINANCE PHENOMENA: MUTATION, SCATTERING AND CLUSTER ALGEBRAS
Reading, N. (2022, October 28). TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, Vol. 10.
2021 journal article
The fundamental theorem of finite semidistributive lattices
SELECTA MATHEMATICA-NEW SERIES, 27(4).
2020 journal article
An affine almost positive roots model
Journal of Combinatorial Algebra.
2020 journal article
Scattering Fans
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2020(23), 9640โ9673.
2020 journal article
The action of a Coxeter element on an affine root system
Proceedings of the American Mathematical Society.
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
2018 journal article
Coxeter-biCatalan combinatorics
JOURNAL OF ALGEBRAIC COMBINATORICS, 47(2), 241โ300.
2018 journal article
INITIAL-SEED RECURSIONS AND DUALITIES FOR d-VECTORS
PACIFIC JOURNAL OF MATHEMATICS, 293(1), 179โ206.
2018 journal article
Lattice structure of Weyl groups via representation theory of preprojective algebras
COMPOSITIO MATHEMATICA, 154(6), 1269โ1305.
Contributors: O. Iyama, , I. Reiten & H. Thomasโ* *โ
2018 journal article
Universal Geometric Coefficients for the Four-Punctured Sphere
Annals of Combinatorics, 22(1), 1โ44.
2017 journal article
Cambrian frameworks for cluster algebras of affine type
Transactions of the American Mathematical Society, 370(2), 1429โ1468.
2016 journal article
Combinatorial Frameworks for Cluster Algebras
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2016(1), 109โ173.
2016 journal article
Coxeter arrangements in three dimensions
Beitrรคge Zur Algebra Und Geometrie / Contributions to Algebra and Geometry, 57(4), 891โ897.
Contributors: R. Ehrenborgโ*, C. Klivans* & nโ
2016 chapter
Finite Coxeter Groups and the Weak Order
In Lattice Theory: Special Topics and Applications (Vol. 2, pp. 489โ561).
2016 chapter
Lattice Theory of the Poset of Regions
In Lattice Theory: Special Topics and Applications (Vol. 2, pp. 399โ487).
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
2015 journal article
Coxeter-biCatalan combinatorics
Discrete Mathematics & Theoretical Computer Science.
2015 journal article
NONCROSSING ARC DIAGRAMS AND CANONICAL JOIN REPRESENTATIONS
SIAM JOURNAL ON DISCRETE MATHEMATICS, 29(2), 736โ750.
2015 journal article
Universal geometric coefficients for the once-punctured torus
Sรฉminaire Lotharingien De Combinatoire, B71e, Art. B71e, 29. http://math.univ-lyon1.fr/~slc/wpapers/s71reading.html
2014 journal article
UNIVERSAL GEOMETRIC CLUSTER ALGEBRAS FROM SURFACES
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 366(12), 6647โ6685.
2014 journal article
Universal geometric cluster algebras
MATHEMATISCHE ZEITSCHRIFT, 277(1-2), 499โ547.
2012 journal article
Coarsening polyhedral complexes
Proc. Amer. Math. Soc., 140(10), 3593โ3605.
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. 293โ322).
Ed(s): F. Mueller-Hoissen, J. Pallo & J. Stasheff
2012 journal article
2012 journal article
The Hopf algebra of diagonal rectangulations
JOURNAL OF COMBINATORIAL THEORY SERIES A, 119(3), 788โ824.
Contributors: S. Law n & nโ
2011 journal article
Noncrossing partitions and the shard intersection order
JOURNAL OF ALGEBRAIC COMBINATORICS, 33(4), 483โ530.
2011 journal article
SORTABLE ELEMENTS IN INFINITE COXETER GROUPS
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 363(2), 699โ761.
2010 journal article
Noncrossing partitions, clusters and the Coxeter plane
Sรฉminaire Lotharingien De Combinatoire, 63, B63b. https://www.mat.univie.ac.at/~slc/wpapers/s63reading.html
2010 journal article
Sortable elements for quivers with cycles
The Electronic Journal of Combinatorics, 17(1), R90.
2010 journal article
Sortable elements for quivers with cycles
Electronic Journal of Combinatorics, 17(1), 1โ19. http://www.scopus.com/inward/record.url?eid=2-s2.0-77955640004&partnerID=MN8TOARS
2009 journal article
2009 conference paper
Noncrossing partitions and the shard intersection order
FPSAC'09 - 21st International Conference on Formal Power Series and Algebraic Combinatorics, 745โ756. http://www.scopus.com/inward/record.url?eid=2-s2.0-79954628162&partnerID=MN8TOARS
2008 journal article
Chains in the noncrossing partition lattice
SIAM JOURNAL ON DISCRETE MATHEMATICS, 22(3), 875โ886.
2007 journal article
Clusters, coxeter-sortable elements and noncrossing partitions
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 359(12), 5931โ5958.
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
2007 chapter
Root systems and generalized associahedra
In Geometric Combinatorics (Vol. 13, pp. 63โ131).
2007 journal article
Sortable elements and Cambrian lattices
ALGEBRA UNIVERSALIS, 56(3-4), 411โ437.
2006 journal article
Cambrian lattices
Advances in Mathematics, 205(2), 313โ353.
2006 conference paper
Clusters, Coxeter-sortable elements and noncrossing partitions
FPSAC 2006 - Proceedings: 18th Annual International Conference on Formal Power Series and Algebraic Combinatorics, 275โ281. http://www.scopus.com/inward/record.url?eid=2-s2.0-84860648750&partnerID=MN8TOARS
2005 journal article
Generalized cluster complexes and Coxeter combinatorics
International Mathematics Research Notices, 2005(44), 2709โ2757.
2005 journal article
Lattice congruences, fans and Hopf algebras
Journal of Combinatorial Theory, Series A, 110(2), 237โ273.
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
2004 journal article
Lattice Congruences of the Weak Order
Order, 21(4), 315โ344.
2004 journal article
Non-negative cd-coefficients of Gorensteinโ posets
Discrete Mathematics, 274(1-3), 323โ329.
2004 journal article
The cd-index of Bruhat intervals
The Electronic Journal of Combinatorics, 11(1), R74.
2004 journal article
The cd-index of Bruhat intervals
Electronic Journal of Combinatorics, 11(1 R), 1โ25. http://www.scopus.com/inward/record.url?eid=2-s2.0-8744221555&partnerID=MN8TOARS
2003 journal article
Lattice and order properties of the poset of regions in a hyperplane arrangement
Algebra Universalis, 50(2), 179โ205.
2003 journal article
The order dimension of the poset of regions in a hyperplane arrangement
Journal of Combinatorial Theory, Series A, 104(2), 265โ285.
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
2002 journal article
Order Dimension, Strong Bruhat Order and Lattice Properties for Posets
Order, 19(1), 73โ100.
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
1992 journal article
The thermodynamics of home-made ice cream
Journal of Chemical Education, 69(8), 658โ661. http://www.scopus.com/inward/record.url?eid=2-s2.0-27744592214&partnerID=MN8TOARS
Updated: January 6th, 2020 11:03
2018 - present
2012 - 2018
2006 - 2012