Cameron Leigh Stewart

Cameron Leigh Stewart

Nationality	Canadian
Fields	Mathematics
Institutions	University of Waterloo
Alma mater	University of Cambridge McGill University University of British Columbia
Doctoral advisor	Alan Baker
Notable awards	J. T. Knight Prize (1974) Fellow of the Royal Society of Canada (1989) Fields Institute Fellow (2008)

Cameron Leigh Stewart FRSC is a Canadian mathematician. He is a professor of pure mathematics at the University of Waterloo. He was elected Fellow of the Royal Society of Canada in 1989. He was appointed Fellow of the Fields Institute in 2008. Since 2003 he has held a Canada Research Chair (tier 1).^[1] Since 2005 he has been appointed University Professor at the University of Waterloo.^[2]

He made numerous contributions to number theory, in particular the abc conjecture. In 1976 he obtained, with Alan Baker, an effective improvement to Liouville's Theorem. In 1991 he proved that the number of solutions to a Thue equation $f(x,y)=h$ is at most $2800(1+1/4\epsilon \deg f)(\deg f)^{1+\omega (g)}$ , where $\epsilon$ is a pre-determined positive real number and $\omega(g)$ is the number of distinct primes dividing a large divisor $g$ of $h$ . This improves on an earlier result of Enrico Bombieri and Wolfgang M. Schmidt and is close to the best possible result. In 1995 he obtained, along with Jaap Top, the existence of infinitely many quadratic, cubic, and sextic twists of elliptic curves of large rank. In 1991 and 2001 respectively, he obtained, along with Kunrui Yu, the best unconditional estimates for the abc conjecture. In 2013, he solved an old problem of Erdős involving Lucas and Lehmer numbers. In particular, he proved that the largest prime divisor $P(n)$ of $2^{n}-1$ satisfies $\lim _{n\rightarrow \infty }P(n)/n=\infty$ . He was selected to give the annual Isidore and Hilda Dressler Lecture at Kansas State University in 2015.

Stewart completed a B.Sc. at the University of British Columbia in 1971 and a M.Sc in 1972 from McGill University. He earned his doctorate from the University of Cambridge in 1976, under supervision of Alan Baker.^[3] While at Cambridge he was awarded the J.T. Knight Prize in 1974.

Selected works

Stewart, C. L.; Tijdeman, R. (1986). "On the Oesterlé-Masser conjecture". Monatshefte für Mathematik. 102 (3): 251–257. doi:10.1007/BF01294603.
Erdős, P.; Stewart, C. L.; Tijdeman, R. (1988). "Some diophantine equations with many solutions". Compositio Mathematica. 66 (1): 37–56.
Stewart, C.L. (1991). "On the number of solutions of polynomial congruences and Thue equations". J. Amer. Math. Soc. 4 (4): 793–835. doi:10.1090/s0894-0347-1991-1119199-x. MR 1119199.
Stewart, C. L.; Kunrui Yu (1991). "On the abc conjecture". Mathematische Annalen. 291 (1): 225–230. doi:10.1007/BF01445201.
Stewart, C. L.; Top, J. (1995). "On ranks of twists of elliptic curves and power-free values of binary forms". J. Amer. Math. Soc. 8 (4): 943–973. doi:10.1090/s0894-0347-1995-1290234-5. MR 1290234.
Stewart, C. L.; Kunrui Yu (2001). "On the abc conjecture, II". Duke. Math. J. 108 (1): 169–181. MR 1831823.
Stewart, C. L. (2013). "On divisors of Lucas and Lehmer numbers". Acta Math. 211: 291–314. doi:10.1007/s11511-013-0105-y. MR 3143892.

References

↑ Cameron L. Stewart's Canada Research Chair Profile
↑ University Professors of the University of Waterloo http://provost.uwaterloo.ca/universityprofessors.html
↑ Curriculum Vitae at University of Waterloo

External links

Authority control	WorldCat Identities VIAF: 304774405 GND: 1036668673 MGP: 38813

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