Alan Baker
1939– — England
Era: Modern
Brilliance: 9/10 | Stewardship: 8/10 | Composite Index: 72
Transcendence through logarithms and Diophantine equations
"The beauty of mathematics lies in showing that the impossible is merely difficult."
Biography
Alan Baker revolutionized transcendental number theory by proving that linear forms in logarithms of algebraic numbers are never zero, solving centuriesold Diophantine problems. His groundbreaking work on effective lower bounds for linear forms opened entirely new avenues in computational number theory and earned him the Fields Medal in 1970. Baker's methods have become foundational tools for solving exponential Diophantine equations and determining integer solutions to fundamental mathematical problems.
Key Facts
- Won the Fields Medal in 1970 for his work on transcendental numbers
- Developed the theory of linear forms in logarithms, transforming Diophantine analysis
- Proved solutions exist for many previously intractable Diophantine equations
- Mentored numerous mathematicians at Cambridge University for over five decades
- His effective bounds have practical applications in cryptography and computational mathematics
He made Diophantine equations finally solvable. Fields Medal, naturally.
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