# Alice Petronella Hedenlund

**About me**

I am a PhD student affiliated with the Topology and Geometry group at the Department of Mathematics here at UiO. My supervisor is John Rognes.

My PhD project deals with algebraic K-theory from the perspective of topological Hochschild homology. At the moment, I am trying to generalize the Tate spectral sequence to compact Lie groups. The hope is that such a spectral sequence might be used to analyze periodic topological cyclic homology, that is, the Tate construction on topological Hochschild homology using the entire action of the circle group.

**Research Interests**

Algebraic Topology. Algebraic K-theory. Topological Hochschild homology. The Tate spectral sequence. Ring spectra. Category theory. Galois Theory.

**Background**

M. Sc. in Mathematics, KTH Royal Institute of Technology (joint degree with Stockholm University), 2016

B. Sc. in Engineering Physics, KTH Royal Institute of Technology, 2013

*Updated: October 28th 2016*