Volume 151, Issue 1 – January 2000

## Some spherical uniqueness theorems for multiple trigonometric series

Pages 1-33 by J. Marshall Ash, Gang Wang

## The bilinear maximal functions map into $L^p$ for $2/3 < p \le 1$

Pages 35-57 by Michael T. Lacey

## Integral mappings and the principle of local reflexivity for noncommutative $L^1$-spaces

Pages 59-92 by Edward G. Effros, Marius Junge, Zhong-Jin Ruan

## The symplectic Thom conjecture

Pages 93-124 by Peter Oszváth, Zoltán Szabó

## Linking numbers and boundaries of varieties

Pages 125-150 by Herbert Alexander, John Wermer

## Construction of boundary invariants and the logarithmic singularity of the Bergman kernel

Pages 151-191 by Kengo Hirachi

## Gauge theory and calibrated geometry, I

Pages 193-268 by Gang Tian

## Regularity of a free boundary with application to the Pompeiu problem

Pages 269-292 by Luis A. Caffarelli, Lavi Karp, Henrik Shahgholian

## Distribution of the partition function modulo $m$

Pages 293-307 by Ken Ono

## Real algebraic curves, the moment map and amoebas

Pages 309-326 by Grigory Mikhalkin

## The moduli space of Riemann surfaces is Kähler hyperbolic

Pages 327-357 by Curtis T. McMullen

## Rational connectedness and Galois covers of the projective line

Pages 359-373 by Jean-Louis Colliot-Thélène

## A proof of Pisot’s $d^{\mathrm{th}}$ root conjecture

Pages 375-383 by Umberto Zannier