A new proof of a theorem of
Hida
Appeared in IMRN 1999, No. 9.
The Eisenstein ideal in
Hida's ordinary Hecke algebra
Appeared in IMRN
1999, No. 15.
Unit L-functions and a conjecture
of Katz (with Mark Kisin)
To appear in
Ann. of Math.
A Riemann-Hilbert correspondence
for unit F-crystals. I (with Mark Kisin)
A revised version of this paper is currently in preparation.
It will allow
more general
coefficients, and prove a trace-formula in that context.
Part II is also in preparation.
Extensions of crystalline representations (with Mark Kisin)
Supersingular elliptic curves, theta series and weight two modular forms
Optimal quotients of modular Jacobians
A p-adic variational Hodge conjecture and modular forms with complex multiplication
In 1999 the IAS/Park City Mathematics Institute was
devoted to arithmetic geometry.
I gave an informal lecture
there introducing the subject of $p$-adic modular forms, a
write-up of which has been incorporated as an
appendix to Fernando Gouvea's lecture
notes from the Insititute.
Fernando's notes (including my appendix) are available as a
dvi file
here .