Message from Director of Newton Institute

Message from Director of Research and Former Dean of Science, National University of Singapore

Foreword

List of Lectures

Committees

Mathematics

A Review of Critical Point Theory

K.-C. Chang

Spectrum of Convolution Dilation Operators on Weighted Lp Spaces

X. Gao

S. L. Lee

Q. Sun

Data Tuning

P. Hall

Gambling with the Truth: Markov Chain Monte Carlo

W. S. Kendall

Automorphic Representations and Cohomology of Arithmetic Groups

J.-S. Li

J. Schwermer

Applied Mathematics Meets Signal Processing

S. Mallat

Modular Forms and Diophantine Questions

K. A. Ribet

Chromatic Graph Theory

C. Thomassen

Glimpses of Nonlinear Partial Differential Equations in the Twentieth Century: A Priori Estimates and the Bernstein Problem

N. S. Trudinger

Three-Dimensional Subgroups and Unitary Representations

D. A. Vogan, Jr.

Theoretical Physics

How Monte Carlo Simulations can Clarify Complex Problems in Statistical Physics

K. Binder

The Future of Particle Physics

J. D. Bjorken

Yang-Mills Duality and the Generation Puzzle

H.-M. Chan

The Mathematics of M-Theory

R. Dijkgraaf

Quantum Entanglement and Secrecy

A. Ekert

What Is Quantum Computation?

A. Ekert

P. Hayden

H. Inamori

D. K. L. Oi

Aspects of Anomalies in Field Theory

K. Fujikawa

Dynamical Chaos and Nonequilibrium Statistical Mechanics

P. Gaspard

General Relativity and Quantum Mechanics

J. B. Hartle

Integrable Integral Operators

V. I. Korepin

Topics on Fractals in Mathematics and Physics

B. B. Mandelbrot

Perturbative Quantum Field Theory