Rune Haugseng


  1. Enriched ∞-categories via non-symmetric ∞-operads (with David Gepner)
    Advances in Mathematics 279 (2015) 575-716
    arXiv:1312.3178, doi:10.1016/j.aim.2015.02.007
  2. Rectification of enriched ∞-categories
    Algebraic and Geometric Topology 15-4 (2015) 1931-1982
    arXiv:1312.3881, doi:10.2140/agt.2015.15.1931
  3. Bimodules and natural transformations for enriched ∞-categories
    Homology, Homotopy and Applications 18 (2016) 71-98
    arXiv:1506.07341, doi:10.4310/HHA.2016.v18.n1.a5
  4. On a spectral sequence for the cohomology of infinite loop spaces (with Haynes Miller)
    Algebraic and Geometric Topology 16-5 (2016) 2911-2947
    arXiv:1302.1816, doi:10.2140/agt.2016.16.2911
  5. The higher Morita category of En-algebras
    Geometry and Topology 21-3 (2017) 1631-1730
    arXiv:1412.8459, doi:10.2140/gt.2017.21.1631
  6. Lax colimits and free fibrations in ∞-categories (with David Gepner and Thomas Nikolaus)
    Documenta Mathematica 22 (2017) 1225-1266
  7. On the equivalence between Θn-spaces and iterated Segal spaces
    Proceedings of the AMS 146(4) (2018) 1401-1415
    arXiv:1604.08480, doi:10.1090/proc/13695
  8. Iterated spans and classical topological field theories
    Mathematische Zeitschrift 289(3) (2018) 1427-1488
    arXiv:1409.0837, doi:10.1007/s00209-017-2005-x
  9. Two models for the homotopy theory of ∞-operads (with Hongyi Chu and Gijs Heuts)
    Journal of Topology 11(4) (2018) 856-872
    arXiv:1606.03826, doi:10.1112/topo.12071
  10. Linear Batalin-Vilkovisky quantization as a functor of ∞-categories (with Owen Gwilliam)
    Selecta Mathematica 24(2) (2018) 1247-1313
    arXiv:1608.01290, doi:10.1007/s00029-018-0396-0
  11. Enriched ∞-operads (with Hongyi Chu)
    Advances in Mathematics 361 (2020) 106913
    arXiv:1707.08049, doi:10.1016/j.aim.2019.106913
  12. Segal spaces, spans, and semicategories
    Proceedings of the AMS 149 (2021) 961-975
    arXiv:1901.08264, doi:10.1090/proc/15197
  13. Shifted coisotropic correspondences (with Valerio Melani and Pavel Safronov)
    To appear in Journal of the Institute of Mathematics of Jussieu
  14. ∞-operads as analytic monads (with David Gepner and Joachim Kock)
    To appear in International Mathematics Research Notices
  15. Homotopy-coherent algebra via Segal conditions (with Hongyi Chu)
    Advances in Mathematics 385 (2021) 107733
    arXiv:1907.03977, doi:10.1016/j.aim.2021.107733
  16. On (co)ends in ∞-categories
    Journal of Pure and Applied Algebra 226(2) (2021) 106819
    arXiv:2008.03758, doi:10.1016/j.jpaa.2021.106819
  17. On lax transformations, adjunctions, and monads in (∞,2)-categories
    To appear in Higher Structures
  18. ∞-operads via symmetric sequences
    To appear in Mathematische Zeitschrift
  19. Free algebras through Day convolution (with Hongyi Chu)
    To appear in Algebraic and Geometric Topology


  1. Algebras for enriched ∞-operads
  2. On distributivity in higher algebra I: The universal property of bispans (with Elden Elmanto)
  3. A parametrized mate correspondence for ∞-categories
    This will eventually be merged with arXiv:2011.11042.
  4. ∞-operads as symmetric monoidal ∞-categories (with Joachim Kock)
  5. The AKSZ construction in derived algebraic geometry as an extended topological field theory (with Damien Calaque and Claudia Scheimbauer)


Weakly enriched higher categories (30 April 2013)

Warning: This contains a number of non-trivial errors. In any case, essentially everything in here can now be found in a much nicer and (as far as I know) correct form among the papers above.