Alan Baker (mathematician)
Alan Baker ( born August 19, 1939 in London ) is a British mathematician.
Life
Baker began his studies of mathematics at number theorists Harold Davenport at University College London. After the bachelor's degree, he transferred to Trinity College, Cambridge, where he received his doctorate in 1964 at Davenport ( Some aspects of diophantine approximation) and 1964 "Fellow" of the Trinity College was. From 1964 to 1968 he conducted research at Cambridge University as a " Research Fellow". 1968-1974 he was " Director of Studies in Mathematics " and then he was appointed professor of pure mathematics. In 1970 he was "Fellow" at the Institute for Advanced Study at Princeton in 1974 and a visiting professor at Stanford University.
Baker is best known for his "effective methods " in number theory. In 1970 he was awarded with 31 years, the Fields Medal at the International Congress of Mathematicians in Nice, where he gave a plenary lecture (Effective Methods in the Theory of Numbers ). He received the award for his achievements in the field of Diophantine equations. He is a "Fellow" of the Royal Society, the American Mathematical Society and the Indian National Science Academy.
In addition, he managed the evidence of a tightening of the set of Gelfond - Schneider, by showing that a lot of natural logarithms over the algebraic numbers is linearly independent if it is linearly independent over the rational numbers.
His doctoral include John Coates, Roger Heath- Brown, David Masser and Cameron L. Stewart.
Writings
- Transcendental number theory. Cambridge University Press, 1975, exp. 1979 ( Cambridge Mathematical Library), updated in 1990, Reprint 1999.
- Gisbert Wüstholz: Logarithmic forms and diophantine geometry. (New Mathematical Monographs ) Cambridge University Press, 2008, ISBN 978-0521882682.