ERC Starting Grant · 2025
Manifolds and functor calculus
The study of fibre bundles of compact high-dimensional manifolds connects several areas of mathematics such as algebraic and geometric topology, differential geometry, and number theory. From the perspective of homotopy theory, it amounts to the study of the homotopy type of the moduli space of manifolds. The two projects in this proposal investigate this and related moduli spaces using techniques from homotopy theory, especially different flavours of functor calculus. Classically, the moduli space of manifolds was related to homotopy-theoretic objects by considering a forgetful map to a moduli space of homotopy types and analysing the difference. In recent work, together with my colleague…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.