I am broadly interested in homotopy theory, particularly on equivariant higher algebra, K-theory, functor calculus, cobordisms, and Poincaré duality spaces.
Preprints/publications
Parametrised presentability over orbital categories
Applied Categorical Structures, arXiv:2202.02594
Parametrised noncommutative motives and equivariant cubical descent in algebraic K-theory
submitted, arXiv:2202.02591
An equivariant generalisation of McDuff-Segal's group completion theorem
International Mathematics Research Notices 2023, arXiv:2301.10396
Parametrised Poincaré duality and equivariant fixed points methods (j.w. Dominik Kirstein and Christian Kremer)
submitted, arXiv:2405.17641
Equivariant Poincare duality for cyclic groups of prime order and the Nielsen realisation problem (j.w. Dominik Kirstein and Christian Kremer)
submitted, arXiv:2409.02220
Parametrised functor calculus: excision, spheres, and semiadditivity (j.w. Sil Linskens)
preprint, arXiv:2410.22327
Others
A short note on the Picard group of Segal's C_2-complex K-theory (file)
Genuine Equivariant Hermitian K-theory via Parametrised Homotopy Theory, in preparation