Bryan John Birch

Bryan John Birch ( born September 25, 1931 in Burton -upon -Trent ) is a British mathematician who deals with number theory. He is a professor at the University of Oxford.

Birch received his doctorate in 1958 at John Cassels in Cambridge (The geometry of numbers ). He worked primarily as a student of Harold Davenport, where he ( have Birch's theorem forms of odd degree in the rational numbers for a sufficiently large number of variables zeros ) important results achieved with the Hardy - Littlewood circle method of analytic number theory. He is known especially for the conjecture of Birch and Swinnerton - Dyer in the 1960s with Peter Swinnerton - Dyer on the arithmetic information arising from the behavior of the zeta function of elliptic curves on one of its zeros. Birch and Swinnerton - Dyer conjecture supported by their extensive computer calculations. The presumption is open to this day and is a key driver in the development of arithmetic algebraic geometry. Birch also worked on Heegner points on elliptic curves and algebraic K-theory ( Birch -Tate conjecture ).

Birch is since 1972 a Fellow of the Royal Society. In 1993 he was awarded the Senior Whitehead Prize and in 2007 the De Morgan Medal of the London Mathematical Society. In 1966 he was invited speaker at the International Congress of Mathematicians in Moscow ( Rational points on elliptic curves). He is a Fellow of the American Mathematical Society.

He published in 1977 the collected works of Harold Davenport.