“Cameron Leigh Stewart”的意思、由来-开放百科全书

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Cameron Leigh Stewart

释义

Selected works
References
External links

{{Infobox scientist
| name = Cameron Leigh Stewart
| image = Cameron_stewart.jpg
| image_size =
| caption =
| birth_date =
| birth_place =
| death_date =
| death_place =
| nationality = Canadian
| fields = Mathematics
| workplaces = University of Waterloo
| alma_mater = University of Cambridge
McGill University
University of British Columbia
| doctoral_advisor = Alan Baker
| known_for =
| 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 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 Erdős (so his Erdős number is 1) involving Lucas and Lehmer numbers. In particular, he proved that the largest prime divisor of satisfies . He was selected to give the annual [https://www.math.ksu.edu/group/numbertheory/dressler.html 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

{{Cite journal |last=Stewart |first=C. L. |last2=Tijdeman |first2=R. |year=1986 |title=On the Oesterlé-Masser conjecture |journal=Monatshefte für Mathematik |volume=102 |issue=3 |pages=251–257 |doi=10.1007/BF01294603 }}
{{Cite journal |last=Erdős |first=P. |authorlink=Paul Erdős |last2=Stewart |first2=C. L. |last3=Tijdeman |first3=R. |year=1988 |title=Some diophantine equations with many solutions |journal=Compositio Mathematica |volume=66 |issue=1 |pages=37–56 |doi= }}
{{Cite journal |last=Stewart |first=C.L. |year=1991 |title=On the number of solutions of polynomial congruences and Thue equations |journal=J. Amer. Math. Soc. |volume=4 |issue=4 |pages=793–835 |mr=1119199 |doi=10.1090/s0894-0347-1991-1119199-x}}
{{Cite journal |last=Stewart |first=C. L. |author2=Kunrui Yu |year=1991 |title=On the abc conjecture |journal=Mathematische Annalen |volume=291 |issue=1 |pages=225–230 |doi=10.1007/BF01445201 }}
{{Cite journal |last=Stewart |first=C. L. |last2=Top |first2=J. |title=On ranks of twists of elliptic curves and power-free values of binary forms |journal=J. Amer. Math. Soc. |year=1995 |volume=8 |issue=4 |pages=943–973 |mr=1290234 |doi=10.1090/s0894-0347-1995-1290234-5}}
{{Cite journal |last=Stewart |first=C. L. |author2=Kunrui Yu |year=2001 |title=On the abc conjecture, II |journal=Duke Math. J. |volume=108 |issue=1 |pages=169–181 | mr = 1831823 }}
{{Cite journal |last=Stewart |first=C. L. |title=On divisors of Lucas and Lehmer numbers |journal=Acta Math. |year=2013 |volume=211 |issue=2 |pages=291–314 |mr=3143892 |doi=10.1007/s11511-013-0105-y|arxiv=1008.1274 }}

References

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

External links

Website at University of Waterloo
{{MathGenealogy |id=38813 }}

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