I'm a mathematician at the University of Cambridge currently working on rigid analytic spaces and p-adic representation theory. My work focuses on developing the theory of D-modules in the p-adic setting, studying Iwasawa algebras and their representations, and exploring representations of p-adic Lie groups via non-commutative algebra.
A major theme in my research has been establishing fundamental results about D-modules on rigid analytic spaces, including proving analogues of classical results like Kashiwara's equivalence and Bernstein's inequality in the p-adic setting. I have also done work on irreducible representations of compact p-adic analytic groups and their canonical dimensions.
More recently, my research has involved studying equivariant line bundles on Drinfeld's p-adic upper half plane and their global sections. This connects to the broader program of understanding locally analytic representations of p-adic Lie groups through geometric methods.
K. Ardakov, S. Wadsley
Journal of Algebraic Geometry 2018
S. Wadsley
S. Wadsley