Here is a list of my research publications, in reverse chronological order.

  • N. Gurski, N. Johnson, and A. Osorno, K-theory for 2-categories, Adv. Math. 322 (2017), 378-472.
  • N. Gurski, Donald Yau: “Colored Operads” (review), Jahresbericht der Deutschen Mathematiker-Vereinigung, 119 (2017), no. 3, 1-6.
  • N. Gurski, N. Johnson, A. Osorno, and M. Stephan, Stable Postnikov data of Picard 2-categories, Algebr. Geom. Topol. 17 (2017), no. 5, 2763-2806.
  • N. Gurski, N. Johnson, and A. Osorno, Extending homotopy theories across adjunctions, Homology Homotopy Appl 19 (2017), no. 2, 89-110.
  • J. Bourke and N. Gurski, The Gray tensor product via factorisation, Appl. Categ. Structures 25 (2017), no. 4, 603-624.
  • J. Bourke and N. Gurski, A cocategorical obstruction to tensor products of Gray-categories, Theory Appl. Categ. 30 (2015), 387-409.
  • E. Cheng and N. Gurski, Iterated icons, Theory Appl. Categ. 29 (2014), 929-977.
  • E. Cheng, N. Gurski and E. Riehl, Cyclic multicategories, multivariable adjunctions and mates, Journal of K-Theory 13 (2014), no. 2, 337-396.
  • N. Gurski and A. Osorno, Infinite loop spaces, and coherence for symmetric monoidal bicategories, Adv. Math. 246 (2013) 1-32.
  • N. Gurski, Coherence in Three-Dimensional Category Theory, Tracts in Mathematics 201, Cambridge University Press, 2013, 277pp.
  • N. Gurski, The monoidal structure of strictification, Theory Appl. Categ. 28 (2013), 1-23.
  • N. Gurski, Biequivalences in tricategories, Theory Appl. Categ. 26 (2012), 349-384.
  • N. Gurski, Loop spaces, and coherence for monoidal and braided monoidal bicategories, Adv. Math. 226 (2011), no. 5, 4225-4265.
  • E. Cheng and N. Gurski, The periodic table of n-categories for low-dimensions II: degenerate tricategories, Cahiers Topologie Geom. Differentielle Categ. 52 (2011), no 2., 82-125.
  • N. Gurski, Nerves of bicategories as stratified simplicial sets, J. Pure Appl. Algebra 213 (2009), no. 6, 927-946.
  • R. Garner and N. Gurski, The low-dimensional structures formed by tricategories, Math. Proc. Cam. Phil. Soc. 146 (2009), no. 3, 551-589.
  • E. Cheng and N. Gurski, Towards an n-category of cobordisms, Theory Appl. Categ. 18 (2007), No. 10, 274-302.
  • E. Cheng and N. Gurski, The periodic table of n-categories for low-dimensions I: degenerate categories and degenerate bicategories, in “Categories in Algebra, Geometry and Mathematical Physics”, 143-164, Contemp. Math., 431, Amer. Math. Soc., Providence, RI, 2007.

Here are some unpublished preprints.

  • N. Gurski, N. Johnson, and A. Osorno, The 2-dimensional stable homotopy hypothesis, arXiv:1712.07218.
  • N. Gurski, Operads, tensor products, and the categorical Borel construction, arXiv:1508.04050.
  • A. Corner and N. Gurski, Operads with general groups of equivariance, and some 2-categorical aspects of operads in Cat, arXiv:1312.5910.