Mathematical Developments in 1995 (UMAP)

The year 1995 was a relatively quiet one in mathematics. Mathematicians confirmed and celebrated the revised proof by Andrew Wiles of Princeton University of Fermat's Last Theorem. An even more ancient problem was solved when researchers proved that a particular compound bubble is the most efficient way to enclose two equal volumes. Numerical analysis provided the key to faster evaluation of financial derivatives. Mathematicians made new discoveries in quantum field theory and four-dimensional geometry. Two retired researchers found seven primes in arithmetic progression, the longest such sequence known. And the U.S. job market for new Ph.D.'s in mathematics became saturated with candidates, while the University of Rochester's plan to eliminate its Ph.D. program in mathematics created howls of protest.

Table of Contents:

INTRODUCTION

THE LAST WORD ON FERMAT'S LAST THEOREM

OPTIMAL DOUBLE BUBBLE

CALCULUS ON WALL STREET

TOPOLOGY AND QUANTUM FIELD THEORY

PRIMES IN PROGRESSION

GRADUATE STUDY IN MATHEMATICS

MILESTONES

REFERENCES

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