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 143, Number 1

#### Publication Date: 15 May 2008

Subpotential lower bounds for nonnegative solutions to certain quasi-linear degenerate parabolic equations

Emmanuele Dibenedetto, Ugo Gianazza and Vincenzo Vespri; 1-15

Theta functions and Weil representations of loop symplectic groups

Yongchang Zhu; 17-39

Symmetric functions, parabolic category $\mathcal O$, and the Springer fiber

Jonathan Brundan; 41-79

On the small ball inequality in three dimensions

Dmitriy Bilyk and Michael T. Lacey; 81-115

Geometric realizations of Wakimoto modules at the critical level

Edward Frenkel and Dennis Gaitsgory; 117-203