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)
to appear in Transactions of the American Mathematical Society, arXiv:2409.02220
Parametrised functor calculus: excision, spheres, and semiadditivity (j.w. Sil Linskens)
submitted, arXiv:2410.22327
Poincaré duality pairs of infinity-categories (j.w. Andrea Bianchi, Dominik Kirstein, and Christian Kremer)
preprint, arXiv:2510.20646
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