Tripti Joshi (Editor)

Alan Baker (mathematician)

Updated on
Edit
Like
Comment
Share on FacebookTweet on TwitterShare on LinkedInShare on Reddit
Nationality
  
British

Fields
  
Mathematics


Role
  
Mathematician

Name
  
Alan Baker

Awards
  
Fields Medal

Alan Baker (mathematician) httpsuploadwikimediaorgwikipediacommonsthu

Born
  
19 August 1939 (age 84) London, England (
1939-08-19
)

Institutions
  
University of Cambridge

Alma mater
  
University College London University of Cambridge

Thesis
  
Some Aspects of Diophantine Approximation (1964)

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

Books
  
A concise introduction to the theory of numbers

Education
  
University of Cambridge, University College London

Similar People
  
David Masser, Harold Davenport, John Charles Fields, John H Coates, John G Thompson

Doctoral advisor
  
Harold Davenport

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.

Contents

Alan Baker (mathematician) Alan Baker mathematician Wikipedia

Life

Alan Baker (mathematician) wwwapprendremathinfohistoryphotosBakerAlanjpeg

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. He is a fellow of Trinity College, Cambridge.

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

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

Accomplishments

Baker generalized the Gelfond–Schneider theorem, itself a solution to Hilbert's seventh problem. Specifically, Baker showed that if α 1 , . . . , α n are algebraic numbers (besides 0 or 1), and if β 1 , . . , β n are irrational algebraic numbers such that the set { 1 , β 1 , . . . , β n } are linearly independent over the rational numbers, then the number α 1 β 1 α 2 β 2 α n β n is transcendental.

Selected publications

  • Baker, Alan (1966), "Linear forms in the logarithms of algebraic numbers. I", Mathematika, 13: 204–216, ISSN 0025-5793, MR 0220680, doi:10.1112/S0025579300003971 
  • Baker, Alan (1967a), "Linear forms in the logarithms of algebraic numbers. II", Mathematika, 14: 102–107, ISSN 0025-5793, MR 0220680, doi:10.1112/S0025579300008068 
  • Baker, Alan (1967b), "Linear forms in the logarithms of algebraic numbers. III", Mathematika, 14: 220–228, ISSN 0025-5793, MR 0220680, doi:10.1112/S0025579300003843 
  • 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 awards

  • 1970: Fields Medal
  • 1972: Adams Prize
  • References

    Alan Baker (mathematician) Wikipedia