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Chris Rogers

Associate Professor

Summary

I work in homological algebra and homotopy theory.

My research focuses on applications of homotopy-theoretic methods to problems in abstract algebra, algebraic geometry, and certain areas of mathematical physics.

Selected Publications

  1. "Kontsevich's graph complex, GRT, and the deformation complex of the sheaf of polyvector fields"
    (with V. Dolgushev and T. Willwacher)
    Annals of Mathematics vol. 182 (2015) 855-943.
  2. "Homotopy moment maps"
    (with M. Callies, Y. Frégier, and M. Zambon)
    Advances in Mathematics vol. 303 (2016) 954-1043.
  3. "An explicit model for the homotopy theory of finite type Lie n-algebras"
    Algebraic and Geometric Topology vol. 20 (2020) 1371-1429.
  4. "On the homotopy theory for Lie ∞-groupoids, with an application to integrating L∞-algebras"
    (with C. Zhu)
    Algebraic and Geometric Topology vol. 20 (2020) 1127-1219.
  5. "The cohomology of the full directed graph complex"
    (with V. Dolgushev)
    Algebras and Representation Theory vol. 23 (2020) 917-961.
  6. "Which homotopy algebras come from transfer?"
    (with M. Markl)
    Proceedings of the American Mathematical Society (2021) To appear in print, DOI: 10.1090/proc/15710.