Endomorphism from Galois antiautomorphism.
Erratum to: Cohomology of arithmetic groups with infinite dimensional coefficient spaces.
Erratum to "Cohomology sets inside arithmetic groups" (Acta Arith. 107 (2003), 27-33)
Experimental indications of three-dimensional Galois representations from the cohomology of .
Filling boundaries of coarse manifolds in semisimple and solvable arithmetic groups
We provide partial results towards a conjectural generalization of a theorem of Lubotzky-Mozes-Raghunathan for arithmetic groups (over number fields or function fields) that implies, in low dimensions, both polynomial isoperimetric inequalities and finiteness properties. As a tool in our proof, we establish polynomial isoperimetric inequalities and finiteness properties for certain solvable groups that appear as subgroups of parabolic groups in semisimple groups, thus generalizing a theorem of Bux....
Galois representations, Hecke operators, and the cohomology of with twisted coefficients.
Group cohomology and the singularities of the Selberg zeta function associated to a Kleinian group.
Harmonic analysis in weighted -spaces
Hecke eigenforms in the cohomology of congruence subgroups of .
Heegner cycles, modular forms and jacobi forms
We give a geometric interpretation of an arithmetic rule to generate explicit formulas for the Fourier coefficients of elliptic modular forms and their associated Jacobi forms. We discuss applications of these formulas and derive as an example a criterion similar to Tunnel's criterion for a number to be a congruent number.
Higher order invariants in the case of compact quotients
We present the theory of higher order invariants and higher order automorphic forms in the simplest case, that of a compact quotient. In this case, many things simplify and we are thus able to prove a more precise structure theorem than in the general case.
Intersection numbers of cycles on locally symmetric spaces and Fourier coefficients of holomorphic modular forms in several complex variables
l-adic representations associated to modular forms over imaginary quadratic fields. II.
Lefschetz numbers and twisted stabilized orbital integrals.
Non-vanishing theorems for the cohomology of certain arithmetic quotients.
On Euler products and residual Eisenstein cohomology classes for Siegel modular varieties.
On l-adic sheaves on Shimura varieties and their higher direct images in the Baily-Borel compactification.
On the Betti Numbers of a Hyperbolic Manifold.
On the cuspidal cohomology of -arithmetic subgroups of reductive groups over number fields
On the real cohomology of arithmetic groups and the rank conjecture for number fields