Guido Kings

Guido Kings is a mathematician working in number theory working in arithmetic geometry. In joint work with Annette Huber and Niko Naumann, he extended the Lazard isomorphism in two directions: to integral coefficients under additional hypotheses, and to analytic cochains over finite extensions $K/{\mathbb{Q}}_p$ compared with $K$-Lie algebra cohomology.^[ref]

This comparison replaces cohomological questions about a locally analytic group by questions about its infinitesimal Lie algebra, where linear and multilinear calculations are available. The base field matters: being analytic over $K$ is more restrictive than merely being analytic over ${\mathbb{Q}}_p$. His University of Regensburg page identifies his mathematical position and links to his research.^[ref]