Sato-Tate Groups and Distributions of y^{\ell} = x(x^{\ell}-1)

Definition of Serre's twisting sheaf (work in progress)

In this project, we attempt to reformulate various notions from classical commutative algebra (such as flatness, regularity, smoothness, etc.) in an entirely categorical manner, so as to be able to later write down their analogues in derived algebraic geometry without having to develop extra theory. We will also be presenting certain application…

Abelian unramified geometric class field theory

Étale cohomology of schemes and rigid-analytic varieties; L-functions; anabelian geometry