Cameron Leigh Stewart
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Cameron Leigh Stewart FRSC is a Canadian
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...
. He is a professor of pure mathematics at the
University of Waterloo The University of Waterloo (UWaterloo, UW, or Waterloo) is a Public university, public research university located in Waterloo, Ontario, Canada. The main campus is on of land adjacent to uptown Waterloo and Waterloo Park. The university also op ...
.


Contributions

He has made numerous contributions to
number theory Number theory is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions. Number theorists study prime numbers as well as the properties of mathematical objects constructed from integers (for example ...
, 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 In mathematics, a Thue equation is a Diophantine equation of the form f(x,y) = r, where f is an irreducible bivariate form of degree at least 3 over the rational numbers, and r is a nonzero rational number. It is named after Axel Thue, who in ...
f(x,y) = h is at most 2800(1 + 1/4\epsilon \deg f)(\deg f)^, 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 Enrico Bombieri (born 26 November 1940) is an Italian mathematician, known for his work in analytic number theory, Diophantine geometry, complex analysis, and group theory. Bombieri is currently professor emeritus in the School of Mathematics ...
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 In mathematics, an elliptic curve is a Smoothness, smooth, Projective variety, projective, algebraic curve of Genus of an algebraic curve, genus one, on which there is a specified point . An elliptic curve is defined over a field (mathematics), ...
of large rank. In 1991 and 2001 respectively, he obtained, along with Kunrui Yu, the best unconditional estimates for the
abc conjecture ABC are the first three letters of the Latin script. ABC or abc may also refer to: Arts, entertainment and media Broadcasting * Aliw Broadcasting Corporation, Philippine broadcast company * American Broadcasting Company, a commercial American ...
. In 2013, he solved an old problem of
Erdős Erdős, Erdos, or Erdoes is a Hungarian surname. Paul Erdős (1913–1996), Hungarian mathematician Other people with the surname * Ágnes Erdős (1950–2021), Hungarian politician * Brad Erdos (born 1990), Canadian football player * Éva Erd ...
(so his
Erdős number The Erdős number () describes the "collaborative distance" between mathematician Paul Erdős and another person, as measured by authorship of mathematical papers. The same principle has been applied in other fields where a particular individual ...
is 1) involving Lucas and Lehmer numbers. In particular, he proved that the largest prime divisor P(n) of 2^n - 1 satisfies \lim_ P(n)/n = \infty.


Education

Stewart completed a
B.Sc. A Bachelor of Science (BS, BSc, B.S., B.Sc., SB, or ScB; from the Latin ') is a bachelor's degree that is awarded for programs that generally last three to five years. The first university to admit a student to the degree of Bachelor of Scienc ...
at the
University of British Columbia The University of British Columbia (UBC) is a Public university, public research university with campuses near University of British Columbia Vancouver, Vancouver and University of British Columbia Okanagan, Kelowna, in British Columbia, Canada ...
in 1971 and a M.Sc in 1972 from
McGill University McGill University (French: Université McGill) is an English-language public research university in Montreal, Quebec, Canada. Founded in 1821 by royal charter,Frost, Stanley Brice. ''McGill University, Vol. I. For the Advancement of Learning, ...
. He earned his
doctorate A doctorate (from Latin ''doctor'', meaning "teacher") or doctoral degree is a postgraduate academic degree awarded by universities and some other educational institutions, derived from the ancient formalism '' licentia docendi'' ("licence to teach ...
from the
University of Cambridge The University of Cambridge is a Public university, public collegiate university, collegiate research university in Cambridge, England. Founded in 1209, the University of Cambridge is the List of oldest universities in continuous operation, wo ...
in 1976, under the supervision of Alan Baker.


Recognition

In 1974, while at Cambridge, he was awarded the J.T. Knight Prize. He was elected Fellow of the
Royal Society of Canada The Royal Society of Canada (RSC; , SRC), also known as the Academies of Arts, Humanities, and Sciences of Canada (French: ''Académies des arts, des lettres et des sciences du Canada''), is the senior national, bilingual council of distinguishe ...
in 1989. He was appointed Fellow of the
Fields Institute The Fields Institute for Research in Mathematical Sciences, commonly known simply as the Fields Institute, is an international centre for scientific research in mathematical sciences. It is an independent non-profit with strong ties to 20 Ontar ...
in 2008. Since 2003 he has held a
Canada Research Chair Canada Research Chair (CRC) is a title given to certain Canadian university research professors by the Canada Research Chairs Program. Program goals The Canada Research Chair program was established in 2000 as a part of the Government of Canada ...
(tier 1). Since 2005 he has been appointed University Professor at the University of Waterloo. He was selected to give the annua
Isidore and Hilda Dressler Lecture
at
Kansas State University Kansas State University (KSU, Kansas State, or K-State) is a public university, public Land-grant university, land-grant research university with its main campus in Manhattan, Kansas, United States. It was opened as the state's land-grant coll ...
in 2015. He was elected as a fellow of the
Canadian Mathematical Society The Canadian Mathematical Society (CMS; French: ''Société mathématique du Canada'') is an association of professional mathematicians dedicated to advancing mathematical research, outreach, scholarship and education in Canada. The Society se ...
in 2019.


Selected works

* * * * * * *


References


External links


Website at University of Waterloo
* {{DEFAULTSORT:Stewart, Cameron Leigh Year of birth missing (living people) Living people Fellows of the Canadian Mathematical Society Fellows of the Royal Society of Canada 20th-century Canadian mathematicians 21st-century Canadian mathematicians McGill University alumni Alumni of the University of Cambridge Academic staff of the University of Waterloo University of British Columbia alumni Canada Research Chairs Abc conjecture