## Duke Mathematical Journal

Published by Duke University Press since its inception in 1935, the Duke Mathematical Journal is one of the world's leading mathematical journals. DMJ emphasizes the most active and influential areas of current mathematics.

Prime ends rotation numbers and periodic pointsVolume 164, Number 3 ( 2015 )
The Nash problem on arc families of singularitiesVolume 120, Number 3 ( 2003 )
Cheeger constants and $L^{2}$ -Betti numbersVolume 164, Number 3 ( 2015 )
A condition for minimal interval exchange maps to be uniquely ergodicVolume 52, Number 3 ( 1985 )
Uniqueness in Calderón’s problem with Lipschitz conductivitiesVolume 162, Number 3 ( 2013 )
• ISSN: 0012-7094 ( print ) , 1547-7398 ( electronic )
• Publisher: Duke University Press
• Discipline(s): Mathematics
• Full text available in Euclid: 1935 --
• Access: By subscription only
• Euclid URL: http://projecteuclid.org/ dmj

### Featured article

#### On the Breuil–Mézard conjecture

Volume 164, Number 2
##### Abstract

We give a new local proof of the Breuil–Mézard conjecture for 2-dimensional representations of the absolute Galois group of Qp, when p≥5 and the representation has scalar endomorphisms.