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Fellows Directory

Alan Baker

Alan Baker

Credit: University of Cambridge

Professor Alan Baker FRS


Elected: 1973


Alan Baker made fundamental contributions to the theory of Diophantine approximations of wide applicability in the theory of numbers. Among the important consequences, the best known was his discovery of effective bounds for the integer solutions of an extensive class of Diophantine equations. Hitherto, practically no ‘effective’ methods were known in this connection, and Alan’s work provided a major breakthrough with a central problem of long standing. Alan was awarded a Fields Medal at the International Congress of Mathematicians in 1970.

Professor Alan Baker FRS died on 5 February 2018.

Professional positions

Professor of Pure Mathematics, Trinity College, University of Cambridge
Emeritus Professor of Pure Mathematics, University of Cambridge

Interest and expertise

Subject groups

  • Mathematics
    • Pure mathematics


number theory, transcendence, logarithmic forms, effective methods, diophantine analysis, diophantine geometry


  • Fields Medal

    Generalized the Gelfond-Schneider theorem (the solution to Hilbert's seventh problem). From this work he generated transcendental numbers not previously identified.

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