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Canadian mathematician
Cameron Leigh Stewart
FRSC
is a Canadian
mathematician
. He is a professor of pure mathematics at the
University of Waterloo
.
Contributions
[
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]
He has made numerous contributions to
number theory
, in particular to work on 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
is at most
, where
is a pre-determined positive real number and
is the number of distinct primes dividing a large divisor
of
. 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
Erd?s
(so his
Erd?s number
is 1) involving Lucas and Lehmer numbers. In particular, he proved that the largest prime divisor
of
satisfies
.
Education
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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 the supervision of
Alan Baker
.
[1]
Recognition
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In 1974, while at Cambridge, he was awarded the J.T. Knight Prize.
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).
[2]
Since 2005 he has been appointed University Professor at the University of Waterloo.
[3]
He was selected to give the annual
Isidore and Hilda Dressler Lecture
at
Kansas State University
in 2015.
He was elected as a fellow of the
Canadian Mathematical Society
in 2019.
[4]
Selected works
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]
- Stewart, C. L.; Tijdeman, R. (1986). "On the Oesterle-Masser conjecture".
Monatshefte fur Mathematik
.
102
(3): 251?257.
doi
:
10.1007/BF01294603
.
S2CID
123621917
.
- Erd?s, 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
.
S2CID
123894587
.
- 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.
doi
:
10.1215/s0012-7094-01-10815-6
.
MR
1831823
.
S2CID
14862375
.
- Stewart, C. L. (2013). "On divisors of Lucas and Lehmer numbers".
Acta Math
.
211
(2): 291?314.
arXiv
:
1008.1274
.
doi
:
10.1007/s11511-013-0105-y
.
MR
3143892
.
S2CID
119666101
.
References
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]
External links
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]