Overview:
I have been working on various questions concerning the behaviour of chromatically localised Hermitian K-theory. Recently, I've been thinking about how one might use the technology of Poincaré categories to shed a new light on classical questions regarding the Witt groups of fields of characteristic 2.
Papers and Preprints:
Chromatic Purity in Hermitian K-theory at p=2 (2024, arxiv preprint).
Work in Progress:
A Twisted Shaneson Splitting for Poincaré Categories (joint with Guglielmo Nocera and Victor Saunier).
Descent in Real Topological Hochschild Homology.
Talks:
01.12.2022 - GdT Paris Nord, Chromatic Nullstellensatz, Lubin-Tate E-theory
13.09.2023 - Stellenbosch University Mathematics Colloquium, An Overview of Higher Category Theory
29.09.2024 - Real Algebraic K-Theory and Trace Methods, Purity in L-theory of Rings with Involution