Clark Barwick

News.
Professional documents.
Research papers.
  1. Categorifying rationalization (with Saul Glasman, Marc Hoyois, Denis Nardin, and Jay Shah). [ PDF ]
    Publication information.
    Submitted for publication (11 pages).
    arXiv reference.
    arXiv:1610.07162
  2. Parametrized higher category theory and higher algebra (with Emanuele Dotto, Saul Glasman, Denis Nardin, and Jay Shah)
  3. Fibrations in ∞-category theory (with Jay Shah). [ PDF ]
    Publication information.
    Expository note (18 pages).
    arXiv reference.
    arXiv:1607.04343
  4. On the fibrewise effective Burnside ∞-category (with Saul Glasman). [ PDF ]
    Publication information.
    √Čtude (10 pages).
    arXiv reference.
    arXiv:1607.02786
  5. A note on stable recollements (with Saul Glasman). [ PDF ]
    Publication information.
    √Čtude (4 pages).
    arXiv reference.
    arXiv:1607.02064
  6. Cyclonic spectra, cyclotomic spectra, and a conjecture of Kaledin (with Saul Glasman). [ PDF ]
    Publication information.
    Submitted for publication (27 pages).
    arXiv reference.
    arXiv:1602.02163
  7. Spectral Mackey functors and equivariant algebraic K-theory (II) (with Saul Glasman and Jay Shah). [ PDF ]
    Publication information.
    Submitted for publication (37 pages).
    arXiv reference.
    arXiv:1505.03098
  8. Dualizing cartesian and cocartesian fibrations (with Saul Glasman and Denis Nardin). [ PDF ]
    Publication information.
    To appear in Theory and Applications of Categories (20 pages).
    arXiv reference.
    arXiv:1409.2165
  9. Spectral Mackey functors and equivariant algebraic K-theory (I). [ PDF ]
    Publication information.
    Advances in mathematics, vol. 304 (2017), no. 2, pp. 646-727.
    arXiv reference.
    arXiv:1404.0108
  10. Regularity of structured ring spectra and localization in K-theory (with Tyler Lawson). [ PDF ]
    Publication information.
    Submitted for publication (9 pages).
    arXiv reference.
    arXiv:1402.6038
  11. Multiplicative structures on algebraic K-theory. [ PDF ]
    Publication information.
    Documenta Mathematica 20 (2015) 859-878.
    arXiv reference.
    arXiv:1304.4867
  12. From operator categories to topological operads. [ PDF ]
    Publication information.
    Submitted for publication (49 pages).
    arXiv reference.
    arXiv:1302.5756
  13. On the Q construction for exact ∞-categories (with John Rognes). [ PDF ]
    Publication information.
    Preprint (22 pages).
    arXiv reference.
    arXiv:1301.4725
  14. On exact ∞-categories and the Theorem of the Heart. [ PDF ]
    Publication information.
    Compositio Mathematica, vol. 151, no. 11 (Nov. 2015), pp. 2160–2186. DOI: 10.1112/S0010437X15007447
    arXiv reference.
    arXiv:1212.5232
  15. Quillen theorems Bn for homotopy pullbacks of (∞, k)-categories (with Dan Kan). [ PDF ]
    Publication information.
    To appear in Homology, Homotopy, and Applications (28 pages).
    arXiv references.
    arXiv:1101.4879
    arXiv:1208.1777
  16. On the algebraic K-theory of higher categories. [ PDF ]
    Publication information.
    Journal of Topology, vol. 9 (2016), pp. 245--347. DOI: 10.1112/jtopol/jtv042
    arXiv reference.
    arXiv:1204.3607
  17. On the unicity of the homotopy theory of higher categories (with Chris Schommer-Pries). [ PDF ]
    Publication information.
    Submitted for publication (41 pages).
    arXiv reference.
    arXiv:1112.0040
  18. From partial model categories to ∞-categories (with Dan Kan). [ PDF ]
    Publication information.
    Submitted for publication (17 pages).
    arXiv references.
    arXiv:1102.2512
    arXiv:1101.4879
  19. n-relative categories: A model for the homotopy theory of n-fold homotopy theories (with Dan Kan). [ PDF ]
    Publication information.
    Homotopy, Homology, and Applications, vol. 15 (2013), no. 2, pp. 281--300. (HHA244)
    arXiv reference.
    arXiv:1102.0186
  20. A characterization of simplicial localization functors and a discussion of DK equivalences (with Dan Kan). [ PDF ]
    Publication information.
    Indagationes Mathematicae 23 (2012), pp. 69-79. DOI: 10.1016/j.indag.2011.10.001
    arXiv references.
    arXiv:1012.1540
    arXiv:1012.1541
  21. Relative categories: Another model for the homotopy theory of homotopy theories (with Dan Kan). [ PDF ]
    Publication information.
    Indagationes Mathematicae 23 (2012), pp. 42-68. DOI: 10.1016/j.indag.2011.10.002
    arXiv references.
    arXiv:1101.0772
    arXiv:1011.1691
  22. On left and right model categories and left and right Bousfield localizations. [ PDF ]
    Publication information.
    Homology, Homotopy and Applications, vol. 12 (2010), no. 2, pp. 245-320. (HHA152)
    arXiv references.
    arXiv:0708.2067
    arXiv:0708.2832
    arXiv:0708.3435
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