|Born||19 August 1939|
|Died||4 February 2018 (aged 78)|
|Alma mater||University College London|
University of Cambridge
|Known for||Number theory|
|Awards||Fields Medal (1970)|
Adams Prize (1972)
|Institutions||University of Cambridge|
|Thesis||Some Aspects of Diophantine Approximation (1964)|
|Doctoral advisor||Harold Davenport|
|Doctoral students||John Coates|
Alan Baker FRS (19 August 1939 - 4 February 2018) was an English mathematician, known for his work on effective methods in number theory, in particular those arising from transcendental number theory.
Alan Baker was born in London on 19 August 1939. He was awarded the Fields Medal in 1970, at age 31. His academic career started as a student of Harold Davenport, at University College London and later at Cambridge, where he received his PhD. He was a visiting scholar at the Institute for Advanced Study in the fall of 1970. He was a fellow of Trinity College, Cambridge.
Baker generalized the Gelfond-Schneider theorem, itself a solution to Hilbert's seventh problem. Specifically, Baker showed that if are algebraic numbers (besides 0 or 1), and if are irrational algebraic numbers such that the set are linearly independent over the rational numbers, then the number is transcendental.