Martin J. Taylor proved the Fröhlich conjecture in 1981, establishing a connection between the symmetries of algebraic integers and the behavior of Artin L-functions. This contribution to number theory serves as a central point in his career, which spans several decades of academic research, administrative leadership at major British universities, and service to the Royal Society.
Academic Foundation
Born in Leicester in 1952, Taylor attended Wyggeston Grammar School for Boys and Wyggeston and Queen Elizabeth I College. He pursued his higher education at the University of Oxford, where he was a student at Pembroke College, earning a first-class degree in 1973. He later moved to King's College London to complete his PhD in 1976. His doctoral research, supervised by Albrecht Fröhlich, focused on Galois representations.
Research Trajectory
Taylor began his career investigating the structures of algebraic numbers. Following his success with the Fröhlich conjecture, he shifted his focus toward arithmetic geometry. Recent research efforts involve the determination of geometric properties of zeros of integral polynomials in many variables, specifically through the analysis of associated L-functions. His work has contributed to a broader understanding of how analytic functions mirror algebraic properties.
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After a period at Trinity College, Cambridge, Taylor moved to the University of Manchester Institute of Science and Technology in 1986, where he held a professorship. He continued his tenure through the university's merger, serving as Professor of Pure Mathematics at the University of Manchester. In 2009, he was elected Warden of Merton College, Oxford, a role he assumed in October 2010 before retiring in September 2018.
Professional Recognition and Service
Taylor has received numerous accolades for his mathematical contributions, including the Whitehead Prize in 1982 and the Adams Prize, which he shared in 1983. He was elected a Fellow of the Royal Society in 1996 and served as the institution's Physical Secretary and Vice-President starting in 2004. Between 1998 and 2000, he acted as President of the London Mathematical Society. In the 2009 New Year Honours, he was appointed a Knight Bachelor. He holds honorary doctorates from the University of Bordeaux-I, the University of Leicester, and the University of East Anglia.
Fast facts
- Born: 18 February 1952, Leicester
- PhD: King's College London, 1976
- Field: Number Theory
- Notable Proof: Fröhlich conjecture (1981)
- Knight Bachelor: 2009
- Fellow of the Royal Society: 1996
- Warden of Merton College, Oxford: 2010-2018
- Professional Roles: Professor of Pure Mathematics, University of Manchester
Questions readers ask
What is Martin J. Taylor known for?
He is a mathematician known for his research in number theory and arithmetic geometry, most notably for proving the Fröhlich conjecture in 1981.
Did he hold any administrative academic roles?
Yes, he served as the Warden of Merton College, Oxford, from 2010 to 2018.
Has he received recognition for his work?
Yes, he was appointed a Knight Bachelor in 2009, elected as a Fellow of the Royal Society in 1996, and received both the Whitehead Prize and the Adams Prize.
Achievements
- Fellow of the Royal Society
- Knight Bachelor
- Whitehead Prize — 1982
- Adams Prize — 1982
- Held posts at University of Manchester and University of Manchester Institute of Science and Technology
- Fields: number theory
