Mathematical investigations into number theory defined the career of Cameron Leigh Stewart, a Canadian scholar currently affiliated with the University of Waterloo. Since completing his doctoral studies in the 1970s, Stewart has produced extensive research regarding the abc conjecture, Diophantine equations, and the properties of prime divisors within sequences such as Lucas and Lehmer numbers.
Academic Foundation
Born in 1949, Stewart began his formal mathematical education at the University of British Columbia, where he earned a B.Sc. in 1971. He continued his studies at McGill University, completing an M.Sc. in 1972. Stewart later relocated to the University of Cambridge, receiving his doctorate in 1976 under the supervision of Alan Baker. During his time at Cambridge, he was honored with the J.T. Knight Prize in 1974.
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Stewart has focused on deep problems in pure mathematics, particularly in number theory. In 1976, he worked with Alan Baker to provide an effective improvement to Liouville's Theorem. His subsequent work in 1991 produced a significant bound for the number of solutions to Thue equations, surpassing earlier research by Enrico Bombieri and Wolfgang M. Schmidt. Collaboration has been a hallmark of his career; with Kunrui Yu, he published crucial unconditional estimates concerning the abc conjecture in 1991 and 2001. Additionally, he collaborated with Jaap Top in 1995 to establish the existence of various twists of elliptic curves with large ranks.
Professional Recognition
Throughout his career at the University of Waterloo, Stewart has held various prestigious positions and received multiple accolades. He became a Fellow of the Royal Society of Canada in 1989 and was appointed a Canada Research Chair (tier 1) in 2003. By 2005, he reached the rank of University Professor. His contributions were further recognized with a fellowship from the Fields Institute in 2008 and the Canadian Mathematical Society in 2019. In 2015, he delivered the Isidore and Hilda Dressler Lecture at Kansas State University.
Lucas and Lehmer Numbers
In 2013, Stewart addressed a long-standing challenge posed by Paul Erdős regarding Lucas and Lehmer numbers. He proved that the largest prime divisor of the sequence defined by the expression 2 to the power of n minus one tends toward infinity as n increases. This result provided a definitive resolution to the problem, cementing his reputation within the field.
Fast facts
- Born: 1949
- Citizenship: Canada
- Doctoral Advisor: Alan Baker
- Affiliation: University of Waterloo
- Fellow of the Royal Society of Canada: 1989
- J.T. Knight Prize winner: 1974
Questions readers ask
What is the focus of Cameron Leigh Stewart's mathematical research?
He specializes in number theory, specifically focusing on Diophantine equations, the abc conjecture, and the prime divisors of specific mathematical sequences.
Where did Cameron Leigh Stewart complete his doctoral degree?
He earned his doctorate from the University of Cambridge in 1976.
Achievements
- Fellow of the Royal Society of Canada — 1989
- J.T. Knight Prize — 1974
- Held posts at University of Waterloo
- Fields: mathematics
