{"id":34,"date":"2018-05-17T15:39:44","date_gmt":"2018-05-17T19:39:44","guid":{"rendered":"http:\/\/casfaculty.case.edu\/nick-gurski\/?page_id=34"},"modified":"2018-05-17T15:39:44","modified_gmt":"2018-05-17T19:39:44","slug":"publications","status":"publish","type":"page","link":"https:\/\/casfaculty.case.edu\/nick-gurski\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"<p>Here is a list of my research publications, in reverse chronological order.<\/p>\n<ul>\n<li>N. Gurski, N. Johnson, and A. Osorno, <em>K-theory for 2-categories<\/em>, Adv. Math. 322 (2017), 378-472.<\/li>\n<li>N. Gurski, <em>Donald Yau: &#8220;Colored Operads&#8221;<\/em> (review), Jahresbericht der Deutschen Mathematiker-Vereinigung, 119 (2017), no. 3, 1-6.<\/li>\n<li>N. Gurski, N. Johnson, A. Osorno, and M. Stephan, <em>Stable Postnikov data of Picard 2-categories<\/em>, Algebr. Geom. Topol. 17 (2017), no. 5, 2763-2806.<\/li>\n<li>N. Gurski, N. Johnson, and A. Osorno, <em>Extending homotopy theories across adjunctions<\/em>, Homology Homotopy Appl 19 (2017), no. 2, 89-110.<\/li>\n<li>J. Bourke and N. Gurski, <em>The Gray tensor product via factorisation<\/em>, Appl. Categ. Structures 25 (2017), no. 4, 603-624.<\/li>\n<li>J. Bourke and N. Gurski, <em>A cocategorical obstruction to tensor products of Gray-categories<\/em>, Theory Appl. Categ. 30 (2015), 387-409.<\/li>\n<li>E. Cheng and N. Gurski, <em>Iterated icons<\/em>, Theory Appl. Categ. 29 (2014), 929-977.<\/li>\n<li>E. Cheng, N. Gurski and E. Riehl, <em>Cyclic multicategories, multivariable adjunctions and mates<\/em>, Journal of K-Theory 13 (2014), no. 2, 337-396.<\/li>\n<li>N. Gurski and A. Osorno, <em>Infinite loop spaces, and coherence for symmetric monoidal bicategories<\/em>, Adv. Math. 246 (2013) 1-32.<\/li>\n<li>N. Gurski, <em>Coherence in Three-Dimensional Category Theory<\/em>, Tracts in Mathematics 201, Cambridge University Press, 2013, 277pp.<\/li>\n<li>N. Gurski, <em>The monoidal structure of strictification<\/em>, Theory Appl. Categ. 28 (2013), 1-23.<\/li>\n<li>N. Gurski, <em>Biequivalences in tricategories<\/em>, Theory Appl. Categ. 26 (2012), 349-384.<\/li>\n<li>N. Gurski, <em>Loop spaces, and coherence for monoidal and braided monoidal bicategories<\/em>, Adv. Math. 226 (2011), no. 5, 4225-4265.<\/li>\n<li>E. Cheng and N. Gurski, <em>The periodic table of n-categories for low-dimensions II: degenerate tricategories<\/em>, Cahiers Topologie Geom. Differentielle Categ. 52 (2011), no 2., 82-125.<\/li>\n<li>N. Gurski, <em>Nerves of bicategories as stratified simplicial sets<\/em>, J. Pure Appl. Algebra 213 (2009), no. 6, 927-946.<\/li>\n<li>R. Garner and N. Gurski, <em>The low-dimensional structures formed by tricategories<\/em>, Math. Proc. Cam. Phil. Soc. 146 (2009), no. 3, 551-589.<\/li>\n<li>E. Cheng and N. Gurski, <em>Towards an n-category of cobordisms<\/em>, Theory Appl. Categ. 18 (2007), No. 10, 274-302.<\/li>\n<li>E. Cheng and N. Gurski, <em>The periodic table of n-categories for low-dimensions I: degenerate categories and degenerate bicategories<\/em>, in &#8220;Categories in Algebra, Geometry and Mathematical Physics&#8221;, 143-164, Contemp. Math., 431, Amer. Math. Soc., Providence, RI, 2007.<\/li>\n<\/ul>\n<p>Here are some unpublished preprints.<\/p>\n<ul>\n<li>N. Gurski, N. Johnson, and A. Osorno, <em>The 2-dimensional stable homotopy hypothesis<\/em>, arXiv:1712.07218.<\/li>\n<li>N. Gurski,\u00a0<em><em>Operads, tensor products, and the categorical Borel construction, <\/em><\/em>arXiv:1508.04050.<\/li>\n<li>A. Corner and N. Gurski,\u00a0<em>Operads with general groups of equivariance, and some 2-categorical aspects of operads in Cat<\/em>, arXiv:1312.5910.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Here is a list of my research publications, in reverse chronological order.<\/p>\n<p> \tN. Gurski, N. Johnson, and A. Osorno, <em>K-theory for 2-categories<\/em>, Adv. Math. 322 (2017), 378-472.<br \/>\n \tN. Gurski, <em>Donald Yau: &#8220;Colored Operads&#8221;<\/em> (review), Jahresbericht der Deutschen Mathematiker-Vereinigung, 119 (2017), no. 3, 1-6.<br \/>\n \tN. Gurski, N. Johnson, A. Osorno, and M. Stephan, <em>Stable Postnikov data of Picard 2-categories<\/em>, Algebr. Geom. Topol. 17 (2017), no. 5, 2763-2806.<br \/>\n \tN. Gurski, N. Johnson, and A. Osorno, <em>Extending homotopy theories across adjunctions<\/em>, Homology Homotopy Appl 19 (2017), no.<\/p>\n<p><a href=\"https:\/\/casfaculty.case.edu\/nick-gurski\/publications\/\" class=\"more-link\">Continue reading&#8230; <span class=\"screen-reader-text\">Publications<\/span><\/a><\/p>\n","protected":false},"author":298,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"_links":{"self":[{"href":"https:\/\/casfaculty.case.edu\/nick-gurski\/wp-json\/wp\/v2\/pages\/34"}],"collection":[{"href":"https:\/\/casfaculty.case.edu\/nick-gurski\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/casfaculty.case.edu\/nick-gurski\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/casfaculty.case.edu\/nick-gurski\/wp-json\/wp\/v2\/users\/298"}],"replies":[{"embeddable":true,"href":"https:\/\/casfaculty.case.edu\/nick-gurski\/wp-json\/wp\/v2\/comments?post=34"}],"version-history":[{"count":1,"href":"https:\/\/casfaculty.case.edu\/nick-gurski\/wp-json\/wp\/v2\/pages\/34\/revisions"}],"predecessor-version":[{"id":35,"href":"https:\/\/casfaculty.case.edu\/nick-gurski\/wp-json\/wp\/v2\/pages\/34\/revisions\/35"}],"wp:attachment":[{"href":"https:\/\/casfaculty.case.edu\/nick-gurski\/wp-json\/wp\/v2\/media?parent=34"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}