• 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 ...
    • On stratification for spaces with Noetherian mod p cohomology 

      Barthel, Tobias; Castellana, Natalia; Heard, Drew Kenneth; Valenzuela, Gabriel (Peer reviewed; Journal article, 2022)
      Let $X$ be a topological space with Noetherian mod $p$ cohomology and let $C^*(X;\Bbb{F}_p)$ be the commutative ring spectrum of $\Bbb{F}_p$-valued cochains on $X$. The goal of this paper is to exhibit conditions under ...