• On conjectures of Hovey–Strickland and Chai 

      Barthel, Tobias; Heard, Drew Kenneth; Naumann, Niko (Peer reviewed; Journal article, 2022)
      We prove the height two case of a conjecture of Hovey and Strickland that provides a K(n)-local analogue of the Hopkins–Smith thick subcategory theorem. Our approach first reduces the general conjecture to a problem in ...
    • Partial Serre duality and cocompact objects 

      Oppermann, Steffen; Psaroudakis, Chrysostomos; Stai, Torkil Utvik (Journal article, 2023)
    • Spectral sequences for Hochschild cohomology and graded centers of derived categories 

      Neumann, Frank; Szymik, Markus (Journal article; Peer reviewed, 2017)
      The Hochschild cohomology of a differential graded algebra, or a differential graded category, admits a natural map to the graded center of its homology category: the characteristic homomorphism. We interpret it as an edge ...
    • The topological nilpotence degree of a Noetherian unstable algebra 

      Heard, Drew Kenneth (Peer reviewed; Journal article, 2021)
      We investigate the topological nilpotence degree, in the sense of Henn–Lannes–Schwartz, of a connected Noetherian unstable algebra R. When R is the mod p cohomology ring of a compact Lie group, Kuhn showed how this invariant ...