The Action of the Canonical Involution on Modular Forms of Weight 2 on ...0 (M).
The Class Number of Hereditary Orders in Non-Eichler Algebras over Global Fuction Fields.
The Congruences of Clausen- von Staudt and Kummer for Bernoulli-Hurwitz Numbers.
The finite subgroups of maximal arithmetic kleinian groups
Given a maximal arithmetic Kleinian group , we compute its finite subgroups in terms of the arithmetic data associated to by Borel. This has applications to the study of arithmetic hyperbolic 3-manifolds.
The Hasse norm principle in cyclotomic number fields.
The Hasse norm principle in non-abelian extensions.
The Image of the Atiyah-Bott Map.
The universal ordinary distribution
The Z/2 Z cohomology of the universal ordinary distribution
Théorie d'Iwasawa classique et de l'algèbre de Hecke ordinaire
Theta Functions for Jordan Algebras.
Theta series and modular forms of level
Topological and Algebraic Cycles in Kuga-Shimura Varieties.
Totally indefinite Euclidean quaternion fields
We study the Euclidean property for totally indefinite quaternion fields. In particular, we establish a complete list of norm-Euclidean such fields over imaginary quadratic number fields. This enables us to exhibit an example which gives a negative answer to a question asked by Eichler. The proofs are both theoretical and algorithmic.