• The E_2-term of the K(n)-local E_n-Adams spectral sequence 

      Heard, Drew Kenneth; Barthel, Tobias (Peer reviewed; Journal article, 2016)
      Let E=Enbe Morava E-theory of height n. In[8]Devinatz and Hopkins introduced the K(n)-local En-Adams spectral sequence and showed that, under certain conditions, the E2-term of this spectral sequence can be identified with ...
    • Local Gorenstein duality for cochains on spaces 

      Heard, Drew Kenneth; Barthel, Tobias; Castellana, Natalia; Valenzuela, Gabriel (Peer reviewed; Journal article, 2021)
      We investigate when a commutative ring spectrum R satisfies a homotopical version of local Gorenstein duality, extending the notion previously studied by Greenlees. In order to do this, we prove an ascent theorem for local ...
    • Rational local systems and connected finite loop spaces 

      Heard, Drew Kenneth (Peer reviewed; Journal article, 2021)
      Greenlees has conjectured that the rational stable equivariant homotopy category of a compact Lie group always has an algebraic model. Based on this idea, we show that the category of rational local systems on a connected ...
    • 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 ...