Editor: Felix E. Browder

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Frontmatter

• H-title
• Frontispiece
• Title
• Copyright page
• Table of Contents
• Preface
• Introduction

• Representations of Finite Groups as Permutation Groups by Michael Aschbacher
• Regularity of solutions and level surfaces of elliptic equations by Luis A. Caffarelli
• Sufficency as statistical symmetry by Persi Diaconis
• Atoms and analytic number theory by C. Fefferman
• Working and playing with the 2-disk by Michael H. Freedman
• The Incompleteness Phenomena by Harvey Friedman
• Elliptic curves and modular forms by Benedict H. Gross
• Developments in algebraic geometry by Joe Harris

• Section 1
• Section 2
• Section 3
• Section 4

Backmatter

• From quantum theory to knot theory and back: a von Neumann algebra excursion by V.F.R. Jones
• Modular invariance in mathematics and physics by Victor G. Kac
• Mathematical fluid dynamics: the interaction of nonlinear analysis and modern applied mathematics by Andrew J. Majda
• Two examples of mathematics and computing in the biological sciences:Blood flow in the heart and molecular dynamics by Charles S. Peskin
• Bounds, quadratic differentials, and renormalization conjectures by Dennis Sullivan
• Instantons and their relatives by Karen Uhlenbeck
• Geometry and quantum field theory by Edward Witten