Published by Duke University Press since its inception in 1935, the Duke Mathematical Journal is one of the world's leading mathematical journals. Without specializing in a small number of subject areas, it emphasizes the most active and influential areas of current mathematics.

### Volume 149, Number 1

#### Publication Date: 15 July 2009

The hyperbolic lattice point count in infinite volume with applications to sieves

Alex V. Kontorovich; 1-36

The weight in a Serre-type conjecture for tame $n$-dimensional Galois representations

Florian Herzig; 37-116

Spectral asymptotics for arithmetic quotients of ${\rm SL}(n,{\mathbb R})/\rm{SO}(n)$

Erez Lapid and Werner Müller; 117-155

Limit stable objects on Calabi-Yau 3-folds

Yukinobu Toda; 157-208