Английская Википедия:Alan Baker (mathematician)

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Шаблон:Short description Шаблон:Other people Шаблон:Use dmy dates Шаблон:Use British English Шаблон:Infobox scientist Alan Baker Шаблон:Postnom[1] (19 August 1939 – 4 February 2018[2]) was 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 attended Stratford Grammar School, East London, and his academic career started as a student of Harold Davenport, at University College London and later at Trinity College, Cambridge, where he received his PhD.[3] He was a visiting scholar at the Institute for Advanced Study in 1970 when he was awarded the Fields Medal at the age of 31.[4] In 1974 he was appointed Professor of Pure Mathematics at Cambridge University, a position he held until 2006 when he became an Emeritus. He was a fellow of Trinity College from 1964 until his death.[3]

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

In 2012 he became a fellow of the American Mathematical Society.[5] He has also been made a foreign fellow of the National Academy of Sciences, India.[6]

Research

Baker generalised the Gelfond–Schneider theorem, itself a solution to Hilbert's seventh problem.[7] Specifically, Baker showed that if <math>\alpha_1,...,\alpha_n</math> are algebraic numbers (besides 0 or 1), and if <math>\beta_1,..,\beta_n</math> are irrational algebraic numbers such that the set <math>\{1,\beta_1,...,\beta_n\}</math> is linearly independent over the rational numbers, then the number <math>\alpha_1^{\beta_1}\alpha_2^{\beta_2}\cdots\alpha_n^{\beta_n}</math> is transcendental.

Baker made significant contributions to several areas in number theory, such as the Gauss class number problem,[8] diophantine approximation, and to Diophantine equations such as the Mordell curve.[9][10]

Selected publications

Honours and awards

References

Шаблон:Reflist

External links

Шаблон:Fields medalists

Шаблон:Authority control

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  1. ↑ Шаблон:Cite journal
  2. ↑ Trinity College website, retrieved 5 February 2018
  3. ↑ 3,0 3,1 Шаблон:Who's Who
  4. ↑ Institute for Advanced Study: A Community of Scholars Шаблон:Webarchive
  5. ↑ List of Fellows of the American Mathematical Society, retrieved 2012-11-03.
  6. ↑ Шаблон:Cite web
  7. ↑ Biography in Encyclopædia Britannica. http://www.britannica.com/eb/article-9084909/Alan-Baker
  8. ↑ Шаблон:Cite journal
  9. ↑ Шаблон:Cite journal
  10. ↑ Шаблон:Cite journal
  11. ↑ Шаблон:Cite journal
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