Alan Baker (mathematician)
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.
|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 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.
- Baker, Alan (1966), "Linear forms in the logarithms of algebraic numbers. I", Mathematika, 13: 204–216, doi:10.1112/S0025579300003971, ISSN 0025-5793, MR 0220680
- Baker, Alan (1967a), "Linear forms in the logarithms of algebraic numbers. II", Mathematika, 14: 102–107, doi:10.1112/S0025579300008068, ISSN 0025-5793, MR 0220680
- Baker, Alan (1967b), "Linear forms in the logarithms of algebraic numbers. III", Mathematika, 14: 220–228, doi:10.1112/S0025579300003843, ISSN 0025-5793, MR 0220680
- Baker, Alan (1990), Transcendental number theory, Cambridge Mathematical Library (2nd ed.), Cambridge University Press, ISBN 978-0-521-39791-9, MR 0422171; 1st edition. 1975.
- Baker, Alan; Wüstholz, G. (2007), Logarithmic forms and Diophantine geometry, New Mathematical Monographs, 9, Cambridge University Press, ISBN 978-0-521-88268-2, MR 2382891
Honours and awardsEdit
- Trinity College website, accessed 5 February 2018
- Institute for Advanced Study: A Community of Scholars Archived 6 January 2013 at the Wayback Machine
- List of Fellows of the American Mathematical Society, retrieved 2012-11-03.
- "National Academy of Sciences, India: Foreign Fellows". Retrieved 2 June 2018.
- Biography in Encyclopædia Britannica. http://www.britannica.com/eb/article-9084909/Alan-Baker
- 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.