A better proof of the Goldman-Parker conjecture.
A factorization of the Selberg zeta function attached to a rank 1 space form.
A generalisation of Teichmüller space in the hermitian context
A New Approach to the Rigidity of Discrete Group Actions.
A Note on Quotients of Real Algebraic Groups by Arithmetic Subgroups.
A Note on the Amenable Subgroups of PSL (2, R).
A note on the arithmeitc of the orthogonal group
A Plancherel measure for the discrete Heisenberg group
A spectral gap property for subgroups of finite covolume in Lie groups
Let G be a real Lie group and H a lattice or, more generally, a closed subgroup of finite covolume in G. We show that the unitary representation of G on L²(G/H) has a spectral gap, that is, the restriction of to the orthogonal complement of the constants in L²(G/H) does not have almost invariant vectors. This answers a question of G. Margulis. We give an application to the spectral geometry of locally symmetric Riemannian spaces of infinite volume.
A uniformly bounded representation associated to a free set in a discrete group
Abelian Varieties Attached to Polarized K3-Surfaces.
Actions de groupes sur les arbres
Addendum : Finiteness theorems for discrete subgroups of bounded covolume in semi-simple groups
Addendum to: On volumes of arithmetic quotients of SO (1, n)
There are errors in the proof of uniqueness of arithmetic subgroups of the smallest covolume. In this note we correct the proof, obtain certain results which were stated as a conjecture, and we give several remarks on further developments.
Algebraic Hulls and the Folner Property.
Almost Lie groups of type ...n.
Alternating Sum Formulas for Multiplicities in ...(...). II.
An extension of Mahler's theorem to simply connected nilpotent groups
This Note gives an extension of Mahler's theorem on lattices in to simply connected nilpotent groups with a -structure. From this one gets an application to groups of Heisenberg type and a generalization of Hermite's inequality.
An extension of the Khinchin-Groshev theorem
We prove a version of the Khinchin-Groshev theorem in Diophantine approximation for quadratic extensions of function fields in positive characteristic.
An extention of Nomizu’s Theorem –A user’s guide–
For a simply connected solvable Lie group G with a lattice Γ, the author constructed an explicit finite-dimensional differential graded algebra A*Γ which computes the complex valued de Rham cohomology H*(Γ, C) of the solvmanifold Γ. In this note, we give a quick introduction to the construction of such A*Γ including a simple proof of H*(A*Γ) ≅ H*(Γ, C).