Ocean Modelling and Fluids Group
Stratified Homotopy Invariants, Field Theories, Exodromy, and Duality
Barry Mazur posited a mysterious parallel between arithmetic and low-dimensional topology in which primes correspond to knots, and arithmetic duality is interpreted as Poincaré duality. By combining stratified homotopy theory with recent advances in the geometrisation of Galois groups, the SHIFTED project aims to realise Mazur's vision. Armed with this new take on the geometry of number fields, we are launching a study of arithmetic factorisation homology and the arithmetic quantum field theories envisioned
Below please find our research works associated to the SHIFTED project as well as forthcoming work.
Ocean Modelling and Fluids Group