Peter Swinnerton-Dyer was born on 1927-08-02.

Equations of the form y2 = x3 + ax + b are powerful mathematical tools. The Birch and Swinnerton-Dyer conjecture tells how to determine how many solutions they have in the realm of rational numbers-information that could solve a host of problems, if the conjecture is true.

When you say "hartest", I assume you mean "hardest". There are a total of 7 Millenium problems, which one of them has been solved by Gregori Perelman. These problems are so intense that, whoever gives a correct answer (or proof) will be awarded 1 million USD. The topics are: P versus NP The Hodge Conjecture Yang-Mills Theory The Poincare Conjecture Riemman Hypothesis Navier-Stokes Birch and Swinnerton-Dyer Conjecture

The seven wonders of math, also known as the Millennium Prize Problems, are seven unsolved mathematical problems that were identified by the Clay Mathematics Institute in 2000. These problems include the Birch and Swinnerton-Dyer conjecture, the Hodge conjecture, the Navier-Stokes existence and smoothness problem, the P versus NP problem, the Riemann hypothesis, the Yang-Mills existence and mass gap, and the Poincaré conjecture. Solving any of these problems is considered a major achievement in the field of mathematics.