Some results on K-theory, topological Hochschild homology, and parameterized spectra

"This thesis comprises three separate papers. The first proves a duality result relating the topological Hochschild homology of a ring spectrum to the Spanier-Whitehead dual of the topological Hochschild homology of the Koszul dual ring spectrum. The second, proves an additivity result for the transfer A-theory of infinity topoi, as introduced by Barwick. The third presents partial results of joint work with John Lind. In the full joint paper we create a machine which has as input 2-Vector bundles and as output parameterized ku-modules."

"Some results on K-theory, topological Hochschild homology, and parameterized spectra"