Christopher Lazda

Relative fundamental groups and rational points

In this paper we define a relative rigid fundamental group, which associates to a section

Rigid cohomology over Laurent series fields

p

Rigid rational homotopy types

of a smooth and proper morphism

Finiteness with Coefficients via a Local Monodromy Theorem

f:X\rightarrow S

The Overconvergent Site, Descent, and Cohomology with Compact Support

in characteristic

First Definitions and Basic Properties

p

Absolute Coefficients and Arithmetic Applications

, a Hopf algebra in the ind-category of overconvergent

Incarnations of Berthelot's conjecture

F

A N\'eron--Ogg--Shafarevich criterion for K3 surfaces

-isocrystals on

A homotopy exact sequence for overconvergent isocrystals

S