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 research university with a main campus in Waterloo, Ontario, Canada. The main campus is on of land adjacent to "Uptown" Waterloo and Waterloo Park. The university also operates ...
.


Contributions

He has made numerous contributions to
number theory Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Math ...
, 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 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, Milan) 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 Mathe ...
and Wolfgang M. Schmidt and is close to the best possible result. In 1995 he obtained, along with
Jaap Top Jaap may refer to: * Jaap Sahib, Sikh prayer * Jaap (given name), Dutch given name (short for "Jacob") * Jaap, protagonist in the Dutch version of Bobo (Belgian comic), ''Bobo'' (Belgian comic) {{disambig ...
, the existence of infinitely many quadratic, cubic, and sextic twists of
elliptic curves In mathematics, an elliptic curve is a smooth, projective, algebraic curve of genus one, on which there is a specified point . An elliptic curve is defined over a field and describes points in , the Cartesian product of with itself. If ...
of large rank. In 1991 and 2001 respectively, he obtained, along with Kunrui Yu, the best unconditional estimates for the
abc conjecture The ''abc'' conjecture (also known as the Oesterlé–Masser conjecture) is a conjecture in number theory that arose out of a discussion of Joseph Oesterlé and David Masser in 1985. It is stated in terms of three positive integers ''a'', ''b'' ...
. In 2013, he solved an old problem of Erdős (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 individua ...
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, SB, or ScB; from the Latin ') is a bachelor's degree awarded for programs that generally last three to five years. The first university to admit a student to the degree of Bachelor of Science was the University of ...
at the
University of British Columbia The University of British Columbia (UBC) is a public university, public research university with campuses near Vancouver and in Kelowna, British Columbia. Established in 1908, it is British Columbia's oldest university. The university ranks a ...
in 1971 and a M.Sc in 1972 from
McGill University McGill University (french: link=no, Université McGill) is an English-language public research university located in Montreal, Quebec, Canada. Founded in 1821 by royal charter granted by King George IV,Frost, Stanley Brice. ''McGill Universit ...
. He earned his
doctorate A doctorate (from Latin ''docere'', "to teach"), doctor's degree (from Latin ''doctor'', "teacher"), or doctoral degree is an academic degree awarded by universities and some other educational institutions, derived from the ancient formalism '' ...
from the
University of Cambridge , mottoeng = Literal: From here, light and sacred draughts. Non literal: From this place, we gain enlightenment and precious knowledge. , established = , other_name = The Chancellor, Masters and Schola ...
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 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 Onta ...
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 land-grant research university with its main campus in Manhattan, Kansas, United States. It was opened as the state's land-grant college in 1863 and was the first public insti ...
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 the interests of mathematical research, outreach, scholarship and education in Canada. It serves the ...
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