Nathan Reading

Reading, N. (2022, October 28). DOMINANCE PHENOMENA: MUTATION, SCATTERING AND CLUSTER ALGEBRAS. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, Vol. 10. https://doi.org/10.1090/tran/7888

Reading, N., Speyer, D. E., & Thomas, H. (2021). The fundamental theorem of finite semidistributive lattices. SELECTA MATHEMATICA-NEW SERIES, 27(4). https://doi.org/10.1007/s00029-021-00656-z

An affine almost positive roots model. (2020). Journal of Combinatorial Algebra. https://doi.org/10.4171/jca/37

Reading, N. (2020). Scattering Fans. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2020(23), 9640–9673. https://doi.org/10.1093/imrn/rny260

The action of a Coxeter element on an affine root system. (2020). Proceedings of the American Mathematical Society. https://doi.org/10.1090/proc/14769

Reading, N. (2019). Lattice homomorphisms between weak orders. Electron. J. Combin., 26(2), Paper 2.23, 50. Retrieved from http://www.scopus.com/inward/record.url?eid=2-s2.0-85067350483&partnerID=MN8TOARS

Barnard, E., & Reading, N. (2018). Coxeter-biCatalan combinatorics. JOURNAL OF ALGEBRAIC COMBINATORICS, 47(2), 241–300. https://doi.org/10.1007/s10801-017-0775-1

Reading, N., & Stella, S. (2018). INITIAL-SEED RECURSIONS AND DUALITIES FOR d-VECTORS. PACIFIC JOURNAL OF MATHEMATICS, 293(1), 179–206. https://doi.org/10.2140/pjm.2018.293.179

Iyama, O., Reading, N., Reiten, I., & Thomas, H. (2018). Lattice structure of Weyl groups via representation theory of preprojective algebras. COMPOSITIO MATHEMATICA, 154(6), 1269–1305. https://doi.org/10.1112/s0010437x18007078

Barnard, E., Meehan, E., Reading, N., & Viel, S. (2018). Universal Geometric Coefficients for the Four-Punctured Sphere. Annals of Combinatorics, 22(1), 1–44. https://doi.org/10.1007/s00026-018-0378-0

Reading, N., & Speyer, D. E. (2017). Cambrian frameworks for cluster algebras of affine type. Transactions of the American Mathematical Society, 370(2), 1429–1468. https://doi.org/10.1090/tran/7193

Reading, N., & Speyer, D. E. (2016). Combinatorial Frameworks for Cluster Algebras. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2016(1), 109–173. https://doi.org/10.1093/imrn/rnv101

Ehrenborg, R., Klivans, C., & Reading, N. (2016). Coxeter arrangements in three dimensions. Beiträge Zur Algebra Und Geometrie / Contributions to Algebra and Geometry, 57(4), 891–897. https://doi.org/10.1007/s13366-016-0286-6

Reading, N. (2016). Finite Coxeter Groups and the Weak Order. In Lattice Theory: Special Topics and Applications (Vol. 2, pp. 489–561). https://doi.org/10.1007/978-3-319-44236-5_10

Reading, N. (2016). Lattice Theory of the Poset of Regions. In Lattice Theory: Special Topics and Applications (Vol. 2, pp. 399–487). https://doi.org/10.1007/978-3-319-44236-5_9

Reading, N., & Speyer, D. E. (2015). A Cambrian framework for the oriented cycle. Electron. J. Combin., 22(4), Paper 4.46, 21. Retrieved from http://www.scopus.com/inward/record.url?eid=2-s2.0-84951847857&partnerID=MN8TOARS

Barnard, E., & Reading, N. (2015). Coxeter-biCatalan combinatorics. Discrete Mathematics & Theoretical Computer Science. https://doi.org/10.46298/dmtcs.2519

Reading, N. (2015). NONCROSSING ARC DIAGRAMS AND CANONICAL JOIN REPRESENTATIONS. SIAM JOURNAL ON DISCRETE MATHEMATICS, 29(2), 736–750. https://doi.org/10.1137/140972391

Reading, N. (2015). Universal geometric coefficients for the once-punctured torus. Séminaire Lotharingien De Combinatoire, B71e, Art. B71e, 29. Retrieved from http://math.univ-lyon1.fr/~slc/wpapers/s71reading.html

Reading, N. (2014). UNIVERSAL GEOMETRIC CLUSTER ALGEBRAS FROM SURFACES. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 366(12), 6647–6685. https://doi.org/10.1090/s0002-9947-2014-06156-4

Reading, N. (2014). Universal geometric cluster algebras. MATHEMATISCHE ZEITSCHRIFT, 277(1-2), 499–547. https://doi.org/10.1007/s00209-013-1264-4

Reading, N. (2012). Coarsening polyhedral complexes. Proc. Amer. Math. Soc., 140(10), 3593–3605. https://doi.org/10.1090/s0002-9939-2012-11194-3

Reading, N. (2012). 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). https://doi.org/10.1007/978-3-0348-0405-9_15

Reading, N. (2012). Generic rectangulations. European Journal of Combinatorics, 33(4), 610–623. https://doi.org/10.1016/j.ejc.2011.11.004

Law, S., & Reading, N. (2012). The Hopf algebra of diagonal rectangulations. JOURNAL OF COMBINATORIAL THEORY SERIES A, 119(3), 788–824. https://doi.org/10.1016/j.jcta.2011.09.006

Reading, N. (2011). Noncrossing partitions and the shard intersection order. JOURNAL OF ALGEBRAIC COMBINATORICS, 33(4), 483–530. https://doi.org/10.1007/s10801-010-0255-3

Reading, N., & Spoyer, D. E. (2011). SORTABLE ELEMENTS IN INFINITE COXETER GROUPS. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 363(2), 699–761. https://doi.org/10.1090/s0002-9947-2010-05050-0

Reading, N. (2010). Noncrossing partitions, clusters and the Coxeter plane. Séminaire Lotharingien De Combinatoire, 63, B63b. Retrieved from https://www.mat.univie.ac.at/~slc/wpapers/s63reading.html

Reading, N., & Speyer, D. (2010). Sortable elements for quivers with cycles. The Electronic Journal of Combinatorics, 17(1), R90. https://doi.org/10.37236/362

Reading, N., & Speyert, D. E. (2010). Sortable elements for quivers with cycles. Electronic Journal of Combinatorics, 17(1), 1–19. Retrieved from http://www.scopus.com/inward/record.url?eid=2-s2.0-77955640004&partnerID=MN8TOARS

Reading, N., & Speyer, D. E. (2009). Cambrian fans. J. Eur. Math. Soc. (JEMS), 11(2), 407–447. https://doi.org/10.4171/jems/155

Reading, N. (2009). Noncrossing partitions and the shard intersection order. Discrete Mathematics & Theoretical Computer Science. https://doi.org/10.46298/dmtcs.2709

Reading, N. (2009). Noncrossing partitions and the shard intersection order. FPSAC'09 - 21st International Conference on Formal Power Series and Algebraic Combinatorics, 745–756. Retrieved from http://www.scopus.com/inward/record.url?eid=2-s2.0-79954628162&partnerID=MN8TOARS

Reading, N. (2008). Chains in the noncrossing partition lattice. SIAM JOURNAL ON DISCRETE MATHEMATICS, 22(3), 875–886. https://doi.org/10.1137/07069777X

Reading, N. (2007). Clusters, coxeter-sortable elements and noncrossing partitions. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 359(12), 5931–5958. https://doi.org/10.1090/s0002-9947-07-04319-x

Reading, N. (2007). Clusters, noncrossing partitions and the Coxeter plane. FPSAC'07 - 19th International Conference on Formal Power Series and Algebraic Combinatorics. Retrieved from http://www.scopus.com/inward/record.url?eid=2-s2.0-84860725128&partnerID=MN8TOARS

Fomin, S., & Reading, N. (2007). Root systems and generalized
                    associahedra. In Geometric Combinatorics (Vol. 13, pp. 63–131). https://doi.org/10.1090/pcms/013/03

Reading, N. (2007). Sortable elements and Cambrian lattices. ALGEBRA UNIVERSALIS, 56(3-4), 411–437. https://doi.org/10.1007/s00012-007-2009-1

Reading, N. (2006). Cambrian lattices. Advances in Mathematics, 205(2), 313–353. https://doi.org/10.1016/j.aim.2005.07.010

Reading, N. (2006). Clusters, Coxeter-sortable elements and noncrossing partitions. FPSAC 2006 - Proceedings: 18th Annual International Conference on Formal Power Series and Algebraic Combinatorics, 275–281. Retrieved from http://www.scopus.com/inward/record.url?eid=2-s2.0-84860648750&partnerID=MN8TOARS

Fomin, S., & Reading, N. (2005). Generalized cluster complexes and Coxeter combinatorics. International Mathematics Research Notices, 2005(44), 2709–2757. https://doi.org/10.1155/IMRN.2005.2709

Reading, N. (2005). Lattice congruences, fans and Hopf algebras. Journal of Combinatorial Theory, Series A, 110(2), 237–273. https://doi.org/10.1016/j.jcta.2004.11.001

Reading, N., & Waugh, D. J. (2005). The order dimension of Bruhat order on infinite Coxeter groups. The Electronic Journal of Combinatorics, 11(2), Research Paper 13, 26. Retrieved from http://www.combinatorics.org/Volume_11/Abstracts/v11i2r13.html

Reading, N. (2004). Lattice Congruences of the Weak Order. Order, 21(4), 315–344. https://doi.org/10.1007/s11083-005-4803-8

Reading, N. (2004). Non-negative cd-coefficients of Gorenstein∗ posets. Discrete Mathematics, 274(1-3), 323–329. https://doi.org/10.1016/j.disc.2003.07.001

Reading, N. (2004). The cd-index of Bruhat intervals. The Electronic Journal of Combinatorics, 11(1), R74. https://doi.org/10.37236/1827

Reading, N. (2004). The cd-index of Bruhat intervals. Electronic Journal of Combinatorics, 11(1 R), 1–25. Retrieved from http://www.scopus.com/inward/record.url?eid=2-s2.0-8744221555&partnerID=MN8TOARS

Reading, N. (2003). Lattice and order properties of the poset of regions in a hyperplane arrangement. Algebra Universalis, 50(2), 179–205. https://doi.org/10.1007/s00012-003-1834-0

Reading, N. (2003). The order dimension of the poset of regions in a hyperplane arrangement. Journal of Combinatorial Theory, Series A, 104(2), 265–285. https://doi.org/10.1016/j.jcta.2003.08.002

Reading, N. P. (2002). On the structure of Bruhat order (ProQuest LLC, Ann Arbor, MI; p. 82). Retrieved from 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

Reading, N. (2002). Order Dimension, Strong Bruhat Order and Lattice Properties for Posets. Order, 19(1), 73–100. https://doi.org/10.1023/A:1015287106470

Reading, N. (1999). Nim-Regularity of Graphs. The Electronic Journal of Combinatorics, 6(1), Research Paper 11, 8. Retrieved from http://www.combinatorics.org/Volume_6/Abstracts/v6i1r11.html

Gibbon, D. L., Kennedy, K., Reading, N., & Quieroz, M. (1992). The thermodynamics of home-made ice cream. Journal of Chemical Education, 69(8), 658–661. Retrieved from http://www.scopus.com/inward/record.url?eid=2-s2.0-27744592214&partnerID=MN8TOARS