I am a postdoc at the Hausdorff Center for Mathematics at the University of Bonn.
My research interests are in algebraic topology. In my current research project I am applying methods from equivariant homotopy theory to study Hermitian K-theory and L-theory, via an equivariant enhancement of the trace methods of Bökstedt, Hsiang and Madsen.
Endenicher Allee 60
K-theory of Hermitian Mackey functors and a reformulation of the Novikov Conjecture, with Crichton Ogle, 2017.
Higher equivariant excision, Advances in Mathematics, 309 (2017), 1-96.
Parametrized higher category theory and higher algebra: Exposé I -- Elements of parametrized higher category theory, with Clark Barwick, Saul Glasman, Denis Nardin, Jay Shah, 2016.
Parametrized higher category theory and higher algebra: A general introduction, with Clark Barwick, Saul Glasman, Denis Nardin, Jay Shah, 2016.
Equivariant diagrams of spaces, Algebr. Geom. Topol. 16 (2016), no. 2, 1157-1202.
Finite homotopy limits of nerves of categories, 2014.
Homotopy theory of G-diagrams and equivariant excision, with Kristian Moi, Algebr. Geom. Topol. 16 (2016), no. 1, 325-395.
Equivariant calculus of functors and Z/2-analyticity of real K-theory, Journal of the Institute of Mathematics of Jussieu, Volume 15, Issue 4, October 2016, pp. 829-883.
A relative h-principle via cobordism-like categories, An Alpine Expedition through Algebraic Topology , Contemp. Math. 617, 2014.
A Dundas-McCarthy theorem for bimodules over exact categories, 2013, submitted.
Stable real K-theory and real topological Hochschild homology, 2012.
A Survey of Index Theory and a Calculation of the Truncated Equivariant Witten Genus, 2009.