King Fai Lai

The Iwasawa Main Conjecture for constant ordinary abelian varieties over function fields

We study a geometric analogue of the Iwasawa Main Conjecture for constant ordinary abelian varieties over

Integral points on elliptic curves over function fields

\ZZ_p^d

Overconvergent p-adic Siegel modular forms

-extensions of function fields ramifying at a finite set of places.

Rational Points in Flag Varieties over Function Fields

We prove a new formula for the number of integral points on an elliptic curve over a function field without assuming that the coefficient field is algebraically closed. This is an improvement on the standard results of Hindry-Silverman.

Opérateurs invariants sur les immeubles affines de type A

We give a construction of overconvergent p-adic Siegel modular forms and canonical subgroups using rigid analytic geometry.