On the Atkin $U_t$-operator for $\Gamma _0(t)$-invariant Drinfeld cusp forms

Heeke Operators on Drinfeld Cusp Forms joint work with Yotsanan

ELLIPTIC COHOMOLOGY , p - ADIC MODULAR FORMS AND ATKIN ’ S OPERATOR

We construct a p-adic version of Elliptic Cohomology whose coefficient ring agrees with Serre’s ring of p-adic modular forms. We then construct a stable operation Ûp in this theory agreeing with Atkin’s operator Up on p-adic modular forms. Throughout the paper we assume given a fixed prime p ≥ 5. We begin as in [2] by considering the universal Weierstrass cubic (for Z(p) algebras) Ell/R∗: Ell:Y...

On the Coeecients of Cusp Forms

Modular Forms on Noncongruence Subgroups and Atkin-Swinnerton-Dyer Relations

This is a joint project with Liqun Fang Ben Linowitz Andrew Rupinski Helena Verrill We give new examples of modular forms on noncongruence subgroups whose l-adic representations are modular and whose expansion coefficients satisfy Atkin-Swinnerton-Dyer congruences.

Maaß Cusp Forms on SL(2,R)

The present text is course material for a minicourse on Maaß cusp forms I gave at Metz University in March 2005 as a part of the Sokrates partnership activities between the universities in Metz and Paderborn. This course may be viewed as the first joint activity in the context of the new International Research Training Group " Geometry and Analysis of Symmetries " (see http://irtg.upb.de) locat...