- Barry Mazur
Infobox Scientist

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name = Barry Charles Mazur

image_size = 200px

caption = Barry Mazur in 1992

birth_date = birth date and age|1937|12|19|mf=y

birth_place =New York

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residence =United States

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ethnicity =

fields =Mathematics

workplaces =Harvard University

alma_mater =Princeton University

doctoral_advisor =Ralph Fox RH Bing

academic_advisors =

doctoral_students =Noam Elkies

notable_students =

known_for =diophantine geometry generalized Schoenflies conjecture Mazur swindle Mazur's torsion theorem

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awards =Veblen Prize Cole Prize

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footnotes =**Barry Charles Mazur**(bornDecember 19 ,1937 ) is a professor of mathematics atHarvard University .**Life**Born in

New York, New York ,United States Mazur attended theBronx High School of Science andMIT , although he did not graduate from the latter on account of failing a then-presentROTC requirement. Regardless, he was accepted for graduate school and received his Ph.D. fromPrinceton University in 1959, becoming a Junior Fellow atHarvard University from 1961-64. He is currently the Gerhard Gade University Professor at Harvard University. In 1982 he was elected a member of the National Academy of Sciences. Mazur has received theVeblen Prize in geometry and theCole Prize in number theory from theAmerican Mathematical Society .**Work**His early work was in

geometric topology . In a clever, elementary fashion, he proved thegeneralized Schoenflies conjecture (his complete proof required an additional result byMarston Morse ), around the same time asMorton Brown . Both Brown and Mazur received theVeblen Prize for this achievement. He also discovered theMazur manifold and theMazur swindle .Coming under the influence of

Alexander Grothendieck 's approach toalgebraic geometry , he moved into areas ofdiophantine geometry at the suggestion of H. J. Pringle.Mazur's torsion theorem , which gives a complete list of the possible torsion subgroups ofelliptic curve s over the rational numbers, is a deep and important result in the arithmetic of elliptic curves. Mazur's first proof of this theorem depended upon a complete analysis of the rational points on certainmodular curve s. This proof was carried in his seminal paper "Modular curves and the Eisenstein ideal". The ideas of this paper and Mazur's notion ofGalois deformation s, were among the key ingredients inAndrew Wiles 's ultimately successful attack onFermat's last theorem . Mazur and Wiles had earlier worked together on the main conjecture of Iwasawa theory.In an expository paper, "Number Theory as Gadfly", Mazur describes number theory as a field which

:"produces, without effort, innumerable problems which have a sweet, innocent air about them, tempting flowers; and yet... number theory swarms with bugs, waiting to bite the tempted flower-lovers who, once bitten, are inspired to excesses of effort!"

He expanded his thoughts in the 2003 book "

Imagining Numbers ".**External links*** [

*http://abel.math.harvard.edu/~mazur/ Homepage of Barry Mazur*]

*

*Wikimedia Foundation.
2010.*

### Look at other dictionaries:

**Barry Mazur**— Barry Mazur. Barry Charles Mazur (* 19. Dezember 1937 in New York City) ist ein US amerikanischer Mathematiker, der auf dem Gebiet der Topologie, Zahlentheorie und arithmetischen algebraischen Geometrie arbeitet … Deutsch Wikipedia**Barry Mazur**— Saltar a navegación, búsqueda Barry Mazur Barry Mazur (nació 9 de diciembre, de 1937) es un profesor de matemáticas en la Universidad de Harvard. Mazur nació en Nueva York, y concurrió al Bronx High School of Science y el MIT, a pesar de que no… … Wikipedia Español**Barry Mazur**— Pour les articles homonymes, voir Mazur. Barry Charles Mazur Barry Mazur en 1992 Naissance 19 … Wikipédia en Français**Mazur (surname)**— Mazur (archaic feminine: Mazurowa, plural Mazurowie) is the 14th most common surname in Poland (66,888 people).[1] Contents 1 Prevalence of the surname in Polish voivodships 2 Notable people 3 … Wikipedia**Mazur**— ist der Familienname folgender Personen: Barry Mazur (* 1937), US amerikanischer Mathematiker Eric Mazur (* 1954), niederländischer Physiker Jan Mazur (1920–2008), polnischer römisch katholischer Bischof von Siedlce Marian Mazur (1909−1983),… … Deutsch Wikipedia**Mazur manifold**— In differential topology, a branch of mathematics, a Mazur manifold is a contractible, compact, smooth 4 dimensional manifold which is not diffeomorphic to the standard 4 ball. The boundary of a Mazur manifold is necessarily a homology 3 sphere.… … Wikipedia**Mazur's torsion theorem**— In algebraic geometry Mazur s torsion theorem, due to Barry Mazur, classifies the possible torsion subgroups of the group of rational points on an elliptic curve defined over the rational numbers. If Cn denotes the cyclic group of order n, then… … Wikipedia**Mazur**— Cette page d’homonymie répertorie des personnes (réelles ou fictives) partageant un même patronyme. Barry Mazur (1937 ), mathématicien américain Joseph Mazur (en) (1942 ), mathématicien américain Marilyn Mazur (1955 ), percussionniste… … Wikipédia en Français**Eilenberg–Mazur swindle**— In mathematics, the Eilenberg–Mazur swindle, named after Samuel Eilenberg and Barry Mazur, is a method of proof that involves paradoxical properties of infinite sums. In geometric topology it was introduced by Mazur (1959, 1961) and is often … Wikipedia**Artin-Mazur zeta function**— In mathematics, the Artin Mazur zeta function is a tool for studying the iterated functions that occur in dynamical systems and fractals.It is defined as the formal power series :zeta f(z)=exp sum {n=1}^infty extrm{card} left( extrm{Fix} (f^n)… … Wikipedia