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1990

Drinfeld is awarded a Fields Medal at the International Congress of Mathematicians in Kyoto, Japan for his work on quantum groups and for his work in number theory.

1991

Zelmanov solves the restricted Burnside problem for groups.

1991

Quidong Wang finds infinite series solutions to the *n*-body problem (with minor exceptions).

1993

Menasco and Thistlethwaite prove the knot theory conjecture known as "Tait's Second Conjecture", namely that any two reduced alternating diagrams of the same prime knot are related by a sequence of twists.

1994

Wiles proves Fermat's Last Theorem. (See this History Topic.)

1994

Connes publishes a major text on noncommutative geometry.

1994

Lions is awarded a Fields Medal for his work on the theory of nonlinear partial differential equations.

1994

Yoccoz is awarded a Fields Medal for his work on dynamical systems.

1994

Krystyna Kuperberg solves the "Seifert Conjecture" about the topology of dynamical systems.

1995

A large prize is offered by banker Andrew Beal for a solution to the Beal Conjecture: the equation *x*^{p} + *y*^{q} = *z*^{r} has no solutions for *p*, *q*, *r* > 2 and coprime integers *x*, *y*, *z*.

1997

Wiles is awarded the Wolfskehl Prize for solving Fermat's last theorem.

1998

Borcherds is awarded a Fields Medal for his work in automorphic forms and mathematical physics; Gowers receives one for his work in functional analysis and combinatorics; Kontsevich receives one for his work in algebraic geometry, algebraic topology, and mathematical physics; and McMullen receives one for his work on holomorphic dynamics and geometry of 3-dimensional manifolds.

1998

Thomas Hales proves Kepler's problem on sphere packing.

1999

The Great Internet Mersenne Prime Search project finds the 38th Mersenne prime: 2^{6972593} -1.

1999

Conrad and Taylor prove the "Taniyama-Shimura conjecture". Wiles proved a special case in 1993 on his way to giving a proof of Fermat's Last Theorem.

2000

At a meeting of the American Mathematical Society in Los Angeles "Mathematical Challenges of the 21st Century" were proposed. Unlike "Hilbert's problems" from 100 years earlier, these were given by a team of 30 leading mathematicians of whom eight were Fields Medal winners.

2000

A prize of seven million dollars is put up for the solution of seven famous mathematical problems. Called the *Millennium Prize Problems* they are: *P* versus *NP*; The "Hodge Conjecture"; The Poincaré Conjecture; The Riemann Hypothesis; "Yang-Mills Existence and Mass Gap"; "Navier-Stokes Existence and Smoothness"; and The "Birch and Swinnerton-Dyer Conjecture".

List of mathematicians alive in 1990.

List of mathematicians alive in 2000.

JOC/EFR August 2001
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