Alan Baker (mathematician)
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Alan Baker | |
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Alan Baker
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Born | London, England |
19 August 1939
Nationality | British |
Fields | Mathematics |
Institutions | University of Cambridge |
Alma mater | University College London University of Cambridge |
Thesis | Some Aspects of Diophantine Approximation (1964) |
Doctoral advisor | Harold Davenport |
Doctoral students | John Coates Yuval Flicker Roger Heath-Brown Richard Clive Mason David Masser Robert Odoni Cameron Stewart |
Known for | Number theory Diophantine equations Baker's theorem |
Notable awards | Fields Medal (1970) Adams Prize (1972) |
Alan Baker, FRS (born 19 August 1939) is an English mathematician, known for his work on effective methods in number theory, in particular those arising from transcendental number theory.
Life
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. He was a visiting scholar at the Institute for Advanced Study in the fall of 1970.[1] He is a fellow of Trinity College, Cambridge.
His interests are in number theory, transcendence, logarithmic form, effective methods, Diophantine geometry and Diophantine analysis.
In 2012 he became a fellow of the American Mathematical Society.[2]
Accomplishments
Baker generalized the Gelfond–Schneider Theorem, itself a solution to Hilbert's seventh problem.[3] 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
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References
- ↑ Institute for Advanced Study: A Community of Scholars
- ↑ List of Fellows of the American Mathematical Society, retrieved 2012-11-03.
- ↑ Biography in Encyclopaedia Britannica. http://www.britannica.com/eb/article-9084909/Alan-Baker
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External links
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- Alan Baker at the Mathematics Genealogy Project
- Use dmy dates from May 2012
- Use British English from May 2012
- 1939 births
- Living people
- 20th-century English mathematicians
- 21st-century English mathematicians
- Fields Medalists
- Number theorists
- Alumni of University College London
- Fellows of Trinity College, Cambridge
- Fellows of the American Mathematical Society
- Fellows of the Royal Society
- Foreign Fellows of the Indian National Science Academy
- Institute for Advanced Study visiting scholars
- Members of the Department of Pure Mathematics and Mathematical Statistics
- People from London