Alan Baker (mathematician)

From Wikipedia, the free encyclopedia
Alan Baker
Born (1939-08-19)19 August 1939
London, England
Died 4 February 2018(2018-02-04) (aged 78)
Cambridge, England
Nationality British
Alma mater University College London
University of Cambridge
Known for Number theory
Diophantine equations
Baker's theorem
Awards Fields Medal (1970)
Adams Prize (1972)
Scientific career
Fields Mathematics
Institutions University of Cambridge
Thesis Some Aspects of Diophantine Approximation (1964)
Doctoral advisor Harold Davenport
Doctoral students John Coates
Yuval Flicker
Roger Heath-Brown
David Masser
Cameron Stewart

Alan Baker, FRS (19 August 1939 – 4 February 2018[1]) 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.[2] He was a fellow of Trinity College, Cambridge.

His interests were in number theory, transcendence, logarithmic forms, effective methods, Diophantine geometry and Diophantine analysis.

In 2012 he became a fellow of the American Mathematical Society.[3]


Baker generalized the Gelfond–Schneider theorem, itself a solution to Hilbert's seventh problem.[4] 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.

Selected publications

Honours and awards


  1. ^ Trinity College website, accessed 5 February 2018
  2. ^ Institute for Advanced Study: A Community of Scholars Archived 6 January 2013 at the Wayback Machine.
  3. ^ List of Fellows of the American Mathematical Society, retrieved 2012-11-03.
  4. ^ Biography in Encyclopædia Britannica.
  5. ^ Stolarsky, Kenneth B. (1978). "Review: Transcendental number theory by Alan Baker; Lectures on transcendental numbers by Kurt Mahler; Nombres transcendants by Michel Waldschmidt" (PDF). Bull. Amer. Math. Soc. 84 (8): 1370–1378. doi:10.1090/S0002-9904-1978-14584-4. 

External links

Retrieved from ""
This content was retrieved from Wikipedia :
This page is based on the copyrighted Wikipedia article "Alan Baker (mathematician)"; it is used under the Creative Commons Attribution-ShareAlike 3.0 Unported License (CC-BY-SA). You may redistribute it, verbatim or modified, providing that you comply with the terms of the CC-BY-SA