U. Vishne

activity

20012026

most citedProbabilistic Solutions of Equations in the Braid Group

57 citations · 197 across the 35 of their papers we have counts for

collaborators

Showing 2005Show all

4 papers · 1 filter

math.DG2005★ 5 cited

Logarithmic growth of systole of arithmetic Riemann surfaces along congruence subgroups

Mikhail G. Katz, Mary Schaps, Uzi Vishne

We apply a study of orders in quaternion algebras, to the differential geometry of Riemann surfaces. The least length of a closed geodesic on a hyperbolic surface is called its sys…

math.CO2005

Isospectral Cayley graphs of some finite simple groups

Alexander Lubotzky, Beth Samuels, Uzi Vishne

We apply spectral analysis of quotients of the Bruhat-Tits buildings of type $A ~_{d - 1}$ to construct isospectral non-isomorphic Cayley graphs of the finite simple groups $\o…

math.SP2005★ 12 cited

Division Algebras and Non-Commensurable Isospectral Manifolds

Alexander Lubotzky, Beth Samuels, Uzi Vishne

A. Reid showed that if $Γ_{1}$ and $Γ_{2}$ are arithmetic lattices in $G = PGL_{2} (R)$ or in $PGL_{2} (C)$ which give rise to isospectral manif…

math.AG2005

The fundamental group of Galois cover of the surface $T \times T$

Meirav Amram, Mina Teicher, Uzi Vishne

This is the final paper in a series of four, concerning the surface $T \times T$ embedded in $CP^{8}$ , where $T$ is a the one dimensional torus. In this paper we compute the…

Logarithmic growth of systole of arithmetic Riemann surfaces along congruence subgroups

Isospectral Cayley graphs of some finite simple groups

Division Algebras and Non-Commensurable Isospectral Manifolds

The fundamental group of Galois cover of the surface T×T

The fundamental group of Galois cover of the surface $T \times T$