@article{reading_2022, title={DOMINANCE PHENOMENA: MUTATION, SCATTERING AND CLUSTER ALGEBRAS}, volume={10}, ISSN={["1088-6850"]}, DOI={10.1090/tran/7888}, journal={TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY}, author={Reading, Nathan}, year={2022}, month={Oct} }
 @article{reading_speyer_thomas_2021, title={The fundamental theorem of finite semidistributive lattices}, volume={27}, ISSN={["1420-9020"]}, DOI={10.1007/s00029-021-00656-z}, number={4}, journal={SELECTA MATHEMATICA-NEW SERIES}, author={Reading, Nathan and Speyer, David E. and Thomas, Hugh}, year={2021}, month={Sep} }
 @article{reading_2020, title={An affine almost positive roots model}, url={http://dx.doi.org/10.4171/jca/37}, DOI={10.4171/jca/37}, journal={Journal of Combinatorial Algebra}, author={Reading, Nathan}, year={2020}, month={Feb} }
 @article{reading_2020, title={Scattering Fans}, volume={2020}, ISSN={["1687-0247"]}, DOI={10.1093/imrn/rny260}, number={23}, journal={INTERNATIONAL MATHEMATICS RESEARCH NOTICES}, author={Reading, Nathan}, year={2020}, month={Nov}, pages={9640–9673} }
 @article{reading_2020, title={The action of a Coxeter element on an affine root system}, url={http://dx.doi.org/10.1090/proc/14769}, DOI={10.1090/proc/14769}, journal={Proceedings of the American Mathematical Society}, author={Reading, Nathan}, year={2020}, month={Apr} }
 @article{reading_2019, title={Lattice homomorphisms between weak orders}, volume={26}, url={http://www.scopus.com/inward/record.url?eid=2-s2.0-85067350483&partnerID=MN8TOARS}, number={2}, journal={Electron. J. Combin.}, author={Reading, Nathan}, year={2019}, pages={Paper 2.23, 50} }
 @article{barnard_reading_2018, title={Coxeter-biCatalan combinatorics}, volume={47}, ISSN={["1572-9192"]}, url={https://doi.org/10.1007/s10801-017-0775-1}, DOI={10.1007/s10801-017-0775-1}, number={2}, journal={JOURNAL OF ALGEBRAIC COMBINATORICS}, publisher={Springer Science and Business Media LLC}, author={Barnard, Emily and Reading, Nathan}, year={2018}, month={Mar}, pages={241–300} }
 @article{reading_stella_2018, title={INITIAL-SEED RECURSIONS AND DUALITIES FOR d-VECTORS}, volume={293}, ISSN={["0030-8730"]}, url={https://doi.org/10.2140/pjm.2018.293.179}, DOI={10.2140/pjm.2018.293.179}, number={1}, journal={PACIFIC JOURNAL OF MATHEMATICS}, author={Reading, Nathan and Stella, Salvatore}, year={2018}, month={Mar}, pages={179–206} }
 @article{iyama_reading_reiten_thomas_2018, title={Lattice structure of Weyl groups via representation theory of preprojective algebras}, volume={154}, ISSN={["1570-5846"]}, url={https://doi.org/10.1112/s0010437x18007078}, DOI={10.1112/s0010437x18007078}, number={6}, journal={COMPOSITIO MATHEMATICA}, author={Iyama, Osamu and Reading, Nathan and Reiten, Idun and Thomas, Hugh}, year={2018}, month={Jun}, pages={1269–1305} }
 @article{barnard_meehan_reading_viel_2018, title={Universal Geometric Coefficients for the Four-Punctured Sphere}, volume={22}, ISSN={0218-0006 0219-3094}, url={http://dx.doi.org/10.1007/s00026-018-0378-0}, DOI={10.1007/s00026-018-0378-0}, number={1}, journal={Annals of Combinatorics}, publisher={Springer Nature}, author={Barnard, Emily and Meehan, Emily and Reading, Nathan and Viel, Shira}, year={2018}, month={Feb}, pages={1–44} }
 @article{reading_speyer_2017, title={Cambrian frameworks for cluster algebras of affine type}, volume={370}, ISSN={0002-9947 1088-6850}, url={http://dx.doi.org/10.1090/tran/7193}, DOI={10.1090/tran/7193}, number={2}, journal={Transactions of the American Mathematical Society}, publisher={American Mathematical Society (AMS)}, author={Reading, Nathan and Speyer, David E.}, year={2017}, month={Sep}, pages={1429–1468} }
 @article{reading_speyer_2016, title={Combinatorial Frameworks for Cluster Algebras}, volume={2016}, ISSN={["1687-0247"]}, url={https://doi.org/10.1093/imrn/rnv101}, DOI={10.1093/imrn/rnv101}, number={1}, journal={INTERNATIONAL MATHEMATICS RESEARCH NOTICES}, author={Reading, Nathan and Speyer, David E.}, year={2016}, pages={109–173} }
 @article{ehrenborg_klivans_reading_2016, title={Coxeter arrangements in three dimensions}, volume={57}, ISSN={0138-4821 2191-0383}, url={http://dx.doi.org/10.1007/s13366-016-0286-6}, DOI={10.1007/s13366-016-0286-6}, number={4}, journal={Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry}, publisher={Springer Science and Business Media LLC}, author={Ehrenborg, Richard and Klivans, Caroline and Reading, Nathan}, year={2016}, month={Feb}, pages={891–897} }
 @inbook{reading_2016, title={Finite Coxeter Groups and the Weak Order}, volume={2}, ISBN={9783319442358 9783319442365}, url={http://dx.doi.org/10.1007/978-3-319-44236-5_10}, DOI={10.1007/978-3-319-44236-5_10}, booktitle={Lattice Theory: Special Topics and Applications}, publisher={Springer International Publishing}, author={Reading, N.}, year={2016}, pages={489–561} }
 @inbook{reading_2016, title={Lattice Theory of the Poset of Regions}, volume={2}, ISBN={9783319442358 9783319442365}, url={http://dx.doi.org/10.1007/978-3-319-44236-5_9}, DOI={10.1007/978-3-319-44236-5_9}, booktitle={Lattice Theory: Special Topics and Applications}, publisher={Springer International Publishing}, author={Reading, N.}, year={2016}, pages={399–487} }
 @article{reading_speyer_2015, title={A Cambrian framework for the oriented cycle}, volume={22}, url={http://www.scopus.com/inward/record.url?eid=2-s2.0-84951847857&partnerID=MN8TOARS}, number={4}, journal={Electron. J. Combin.}, author={Reading, Nathan and Speyer, David E.}, year={2015}, pages={Paper 4.46, 21} }
 @article{barnard_reading_2015, title={Coxeter-biCatalan combinatorics}, url={https://doi.org/10.46298/dmtcs.2519}, DOI={10.46298/dmtcs.2519}, journal={Discrete Mathematics & Theoretical Computer Science}, author={Barnard, Emily and Reading, Nathan}, year={2015}, month={Jan} }
 @article{reading_2015, title={NONCROSSING ARC DIAGRAMS AND CANONICAL JOIN REPRESENTATIONS}, volume={29}, ISSN={["1095-7146"]}, url={https://doi.org/10.1137/140972391}, DOI={10.1137/140972391}, number={2}, journal={SIAM JOURNAL ON DISCRETE MATHEMATICS}, author={Reading, Nathan}, year={2015}, pages={736–750} }
 @article{reading_2015, title={Universal geometric coefficients for the once-punctured torus}, volume={B71e}, url={http://math.univ-lyon1.fr/~slc/wpapers/s71reading.html}, journal={Séminaire Lotharingien de Combinatoire}, author={Reading, Nathan}, year={2015}, pages={Art. B71e, 29} }
 @article{reading_2014, title={UNIVERSAL GEOMETRIC CLUSTER ALGEBRAS FROM SURFACES}, volume={366}, ISSN={["1088-6850"]}, url={https://doi.org/10.1090/S0002-9947-2014-06156-4}, DOI={10.1090/s0002-9947-2014-06156-4}, number={12}, journal={TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY}, author={Reading, Nathan}, year={2014}, month={Dec}, pages={6647–6685} }
 @article{reading_2014, title={Universal geometric cluster algebras}, volume={277}, ISSN={["1432-1823"]}, url={https://doi.org/10.1007/s00209-013-1264-4}, DOI={10.1007/s00209-013-1264-4}, number={1-2}, journal={MATHEMATISCHE ZEITSCHRIFT}, author={Reading, Nathan}, year={2014}, month={Jun}, pages={499–547} }
 @article{reading_2012, title={Coarsening polyhedral complexes}, volume={140}, url={https://doi.org/10.1090/S0002-9939-2012-11194-3}, DOI={10.1090/s0002-9939-2012-11194-3}, number={10}, journal={Proc. Amer. Math. Soc.}, author={Reading, Nathan}, year={2012}, pages={3593–3605} }
 @inbook{reading_2012, place={New York}, series={Progress in Mathematics}, title={From the Tamari lattice to Cambrian lattices and beyond}, volume={299}, ISBN={9783034804042 9783034804059}, url={https://doi.org/10.1007/978-3-0348-0405-9_15}, DOI={10.1007/978-3-0348-0405-9_15}, booktitle={Associahedra, Tamari Lattices and Related Structures: Tamari Memorial Festschrift}, publisher={Birkhauser}, author={Reading, N.}, editor={Mueller-Hoissen, F. and Pallo, J. and Stasheff, J.Editors}, year={2012}, pages={293–322}, collection={Progress in Mathematics} }
 @article{reading_2012, title={Generic rectangulations}, volume={33}, ISSN={0195-6698}, url={http://dx.doi.org/10.1016/j.ejc.2011.11.004}, DOI={10.1016/j.ejc.2011.11.004}, number={4}, journal={European Journal of Combinatorics}, publisher={Elsevier BV}, author={Reading, Nathan}, year={2012}, month={May}, pages={610–623} }
 @article{law_reading_2012, title={The Hopf algebra of diagonal rectangulations}, volume={119}, ISSN={["1096-0899"]}, url={https://doi.org/10.1016/j.jcta.2011.09.006}, DOI={10.1016/j.jcta.2011.09.006}, number={3}, journal={JOURNAL OF COMBINATORIAL THEORY SERIES A}, author={Law, Shirley and Reading, Nathan}, year={2012}, month={Apr}, pages={788–824} }
 @article{reading_2011, title={Noncrossing partitions and the shard intersection order}, volume={33}, ISSN={["1572-9192"]}, url={https://doi.org/10.1007/s10801-010-0255-3}, DOI={10.1007/s10801-010-0255-3}, number={4}, journal={JOURNAL OF ALGEBRAIC COMBINATORICS}, publisher={Assoc. Discrete Math. Theor. Comput. Sci., Nancy}, author={Reading, Nathan}, year={2011}, month={Jun}, pages={483–530} }
 @article{reading_spoyer_2011, title={SORTABLE ELEMENTS IN INFINITE COXETER GROUPS}, volume={363}, ISSN={["0002-9947"]}, url={https://doi.org/10.1090/S0002-9947-2010-05050-0}, DOI={10.1090/s0002-9947-2010-05050-0}, number={2}, journal={TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY}, author={Reading, Nathan and Spoyer, David E.}, year={2011}, month={Feb}, pages={699–761} }
 @article{reading_2010, title={Noncrossing partitions, clusters and the Coxeter plane}, volume={63}, ISSN={1286-4889}, url={https://www.mat.univie.ac.at/~slc/wpapers/s63reading.html}, journal={Séminaire Lotharingien de Combinatoire}, author={Reading, N.}, year={2010}, pages={B63b} }
 @article{reading_speyer_2010, title={Sortable elements for quivers with cycles}, volume={17}, url={http://www.combinatorics.org/Volume_17/Abstracts/v17i1r90.html}, DOI={10.37236/362}, number={1}, journal={The Electronic Journal of Combinatorics}, author={Reading, Nathan and Speyer, David}, year={2010}, pages={R90} }
 @article{reading_speyert_2010, title={Sortable elements for quivers with cycles}, volume={17}, url={http://www.scopus.com/inward/record.url?eid=2-s2.0-77955640004&partnerID=MN8TOARS}, number={1}, journal={Electronic Journal of Combinatorics}, author={Reading, N. and Speyert, D.E.}, year={2010}, pages={1–19} }
 @article{reading_speyer_2009, title={Cambrian fans}, volume={11}, url={https://doi.org/10.4171/JEMS/155}, DOI={10.4171/jems/155}, number={2}, journal={J. Eur. Math. Soc. (JEMS)}, author={Reading, Nathan and Speyer, David E.}, year={2009}, pages={407–447} }
 @inproceedings{reading_2009, title={Noncrossing partitions and the shard intersection order}, url={http://www.scopus.com/inward/record.url?eid=2-s2.0-79954628162&partnerID=MN8TOARS}, booktitle={FPSAC'09 - 21st International Conference on Formal Power Series and Algebraic Combinatorics}, author={Reading, N.}, year={2009}, pages={745–756} }
 @article{reading_2008, title={Chains in the noncrossing partition lattice}, volume={22}, ISSN={["1095-7146"]}, url={https://doi.org/10.1137/07069777X}, DOI={10.1137/07069777X}, number={3}, journal={SIAM JOURNAL ON DISCRETE MATHEMATICS}, author={Reading, Nathan}, year={2008}, pages={875–886} }
 @article{reading_2007, title={Clusters, coxeter-sortable elements and noncrossing partitions}, volume={359}, ISSN={["0002-9947"]}, url={https://doi.org/10.1090/S0002-9947-07-04319-X}, DOI={10.1090/s0002-9947-07-04319-x}, number={12}, journal={TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY}, author={Reading, Nathan}, year={2007}, pages={5931–5958} }
 @inproceedings{reading_2007, title={Clusters, noncrossing partitions and the Coxeter plane}, url={http://www.scopus.com/inward/record.url?eid=2-s2.0-84860725128&partnerID=MN8TOARS}, booktitle={FPSAC'07 - 19th International Conference on Formal Power Series and Algebraic Combinatorics}, author={Reading, N.}, year={2007} }
 @inbook{fomin_reading_2007, title={Root systems and generalized
                    associahedra}, volume={13}, ISBN={9780821837368 9781470439125}, ISSN={1079-5634 2472-5064}, url={http://dx.doi.org/10.1090/pcms/013/03}, DOI={10.1090/pcms/013/03}, booktitle={Geometric Combinatorics}, publisher={American Mathematical
                    Society}, author={Fomin, Sergey and Reading, Nathan}, year={2007}, month={Oct}, pages={63–131} }
 @article{reading_2007, title={Sortable elements and Cambrian lattices}, volume={56}, ISSN={["0002-5240"]}, url={https://doi.org/10.1007/s00012-007-2009-1}, DOI={10.1007/s00012-007-2009-1}, number={3-4}, journal={ALGEBRA UNIVERSALIS}, author={Reading, Nathan}, year={2007}, month={Jun}, pages={411–437} }
 @article{reading_2006, title={Cambrian lattices}, volume={205}, ISSN={0001-8708}, url={http://dx.doi.org/10.1016/j.aim.2005.07.010}, DOI={10.1016/j.aim.2005.07.010}, number={2}, journal={Advances in Mathematics}, publisher={Elsevier BV}, author={Reading, Nathan}, year={2006}, month={Oct}, pages={313–353} }
 @inproceedings{reading_2006, title={Clusters, Coxeter-sortable elements and noncrossing partitions}, url={http://www.scopus.com/inward/record.url?eid=2-s2.0-84860648750&partnerID=MN8TOARS}, booktitle={FPSAC 2006 - Proceedings: 18th Annual International Conference on Formal Power Series and Algebraic Combinatorics}, author={Reading, N.}, year={2006}, pages={275–281} }
 @article{fomin_reading_2005, title={Generalized cluster complexes and Coxeter combinatorics}, volume={2005}, url={https://doi.org/10.1155/IMRN.2005.2709}, DOI={10.1155/IMRN.2005.2709}, number={44}, journal={International Mathematics Research Notices}, author={Fomin, Sergey and Reading, Nathan}, year={2005}, pages={2709–2757} }
 @article{reading_2005, title={Lattice congruences, fans and Hopf algebras}, volume={110}, ISSN={0097-3165}, url={http://dx.doi.org/10.1016/j.jcta.2004.11.001}, DOI={10.1016/j.jcta.2004.11.001}, number={2}, journal={Journal of Combinatorial Theory, Series A}, publisher={Elsevier BV}, author={Reading, Nathan}, year={2005}, month={May}, pages={237–273} }
 @article{reading_waugh_2005, title={The order dimension of Bruhat order on infinite Coxeter groups}, volume={11}, url={http://www.combinatorics.org/Volume_11/Abstracts/v11i2r13.html}, number={2}, journal={The Electronic Journal of Combinatorics}, author={Reading, Nathan and Waugh, Debra J.}, year={2005}, pages={Research Paper 13, 26} }
 @article{reading_2004, title={Lattice Congruences of the Weak Order}, volume={21}, ISSN={0167-8094 1572-9273}, url={http://dx.doi.org/10.1007/s11083-005-4803-8}, DOI={10.1007/s11083-005-4803-8}, number={4}, journal={Order}, publisher={Springer Science and Business Media LLC}, author={Reading, Nathan}, year={2004}, month={Nov}, pages={315–344} }
 @article{reading_2004, title={Non-negative cd-coefficients of Gorenstein∗ posets}, volume={274}, ISSN={0012-365X}, url={http://dx.doi.org/10.1016/j.disc.2003.07.001}, DOI={10.1016/j.disc.2003.07.001}, number={1-3}, journal={Discrete Mathematics}, publisher={Elsevier BV}, author={Reading, Nathan}, year={2004}, month={Jan}, pages={323–329} }
 @article{reading_2004, title={The cd-index of Bruhat intervals}, volume={11}, url={http://www.combinatorics.org/Volume_11/Abstracts/v11i1r74.html}, DOI={10.37236/1827}, number={1}, journal={The Electronic Journal of Combinatorics}, author={Reading, Nathan}, year={2004}, pages={R74} }
 @article{reading_2003, title={Lattice and order properties of the poset of regions in a hyperplane arrangement}, volume={50}, ISSN={0002-5240 1420-8911}, url={http://dx.doi.org/10.1007/s00012-003-1834-0}, DOI={10.1007/s00012-003-1834-0}, number={2}, journal={Algebra Universalis}, publisher={Springer Science and Business Media LLC}, author={Reading, Nathan}, year={2003}, month={Dec}, pages={179–205} }
 @article{reading_2003, title={The order dimension of the poset of regions in a hyperplane arrangement}, volume={104}, ISSN={0097-3165}, url={http://dx.doi.org/10.1016/j.jcta.2003.08.002}, DOI={10.1016/j.jcta.2003.08.002}, number={2}, journal={Journal of Combinatorial Theory, Series A}, publisher={Elsevier BV}, author={Reading, Nathan}, year={2003}, month={Nov}, pages={265–285} }
 @phdthesis{reading_2002, title={On the structure of Bruhat order}, url={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}, note={Thesis (Ph.D.)–University of Minnesota}, school={ProQuest LLC, Ann Arbor, MI}, author={Reading, Nathan}, year={2002}, month={Apr}, pages={82} }
 @article{reading_2002, title={Order Dimension, Strong Bruhat Order and Lattice Properties for Posets}, volume={19}, url={https://doi.org/10.1023/A:1015287106470}, DOI={10.1023/A:1015287106470}, number={1}, journal={Order}, author={Reading, Nathan}, year={2002}, pages={73–100} }
 @article{reading_1999, title={Nim-Regularity of Graphs}, volume={6}, url={http://www.combinatorics.org/Volume_6/Abstracts/v6i1r11.html}, number={1}, journal={The Electronic Journal of Combinatorics}, author={Reading, Nathan}, year={1999}, pages={Research Paper 11, 8} }
 @article{gibbon_kennedy_reading_quieroz_1992, title={The thermodynamics of home-made ice cream}, volume={69}, url={http://www.scopus.com/inward/record.url?eid=2-s2.0-27744592214&partnerID=MN8TOARS}, number={8}, journal={Journal of Chemical Education}, author={Gibbon, D.L. and Kennedy, K. and Reading, N. and Quieroz, M.}, year={1992}, pages={658–661} }