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Barry Mazur information


Barry Charles Mazur
Mazur in 1992
Born (1937-12-19) December 19, 1937 (age 86)
New York City, U.S.
Alma materMassachusetts Institute of Technology
Princeton University (PhD)
Known forDiophantine geometry
Generalized Schoenflies conjecture
Artin–Mazur zeta function
Eilenberg–Mazur swindle
Fontaine–Mazur conjecture
Mazur manifold
Mazur's Conjecture B
Mazur's control theorem
Mazur's torsion theorem
AwardsChern Medal (2022)
National Medal of Science (2011)
Chauvenet Prize (1994)
Cole Prize (1982)
Veblen Prize (1966)
Scientific career
FieldsMathematics
InstitutionsHarvard University
Doctoral advisorRalph Fox
R. H. Bing
Doctoral students
  • Nigel Boston
  • Noam Elkies
  • Jordan Ellenberg
  • David Goss
  • Fernando Q. Gouvêa
  • Michael Harris
  • Naomi Jochnowitz
  • Daniel Kane
  • Minhyong Kim
  • Michael McQuillan
  • Victor S. Miller
  • Cathy O'Neil
  • Glenn H. Stevens
  • Paul Vojta

Barry Charles Mazur (/ˈmzʊr/; born December 19, 1937) is an American mathematician and the Gerhard Gade University Professor at Harvard University.[1] His contributions to mathematics include his contributions to Wiles's proof of Fermat's Last Theorem in number theory, Mazur's torsion theorem in arithmetic geometry, the Mazur swindle in geometric topology, and the Mazur manifold in differential topology.

  1. ^ Hoffman, Jascha (2012). "Q&A: The maths raconteur, Barry Mazur". Nature. 483 (7390): 405. doi:10.1038/483405a.

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Barry Mazur

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Barry Charles Mazur (/ˈmeɪzʊr/; born December 19, 1937) is an American mathematician and the Gerhard Gade University Professor at Harvard University....

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Andrew Wiles

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Galois representations, elliptic curves and modular forms, starting with Barry Mazur’s generalizations of Iwasawa theory. In the early 1980s, Wiles moved to...

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Noam Elkies

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then earned his PhD in 1987 under the supervision of Benedict Gross and Barry Mazur at Harvard University. From 1987 to 1990, Elkies was a junior fellow...

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Imagining Numbers

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of minus fifteen) is a 2003 popular mathematics book by mathematician Barry Mazur The aim of the book is not a history of imaginary numbers but an attempt...

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Iwasawa theory

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健吉), as part of the theory of cyclotomic fields. In the early 1970s, Barry Mazur considered generalizations of Iwasawa theory to abelian varieties. More...

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Torsion conjecture

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curves. In the early 1970s, the work of Gérard Ligozat, Daniel Kubert, Barry Mazur, and John Tate showed that several small values of n do not occur as...

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Ralph Fox

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John Stallings, Francisco González-Acuña, Guillermo Torres-Diaz and Barry Mazur, and supervised Ken Perko's undergraduate thesis. He was an Invited Speaker...

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Joseph Mazur

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interested in history of science. He is the brother of Barry Mazur and the father of Alexander J. Mazur. Euclid In the Rainforest: Discovering Universal Truth...

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Epic Mazur

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Bret Hadley "Epic" Mazur (born August 31, 1970) is an American vocalist, rapper, and record producer. He is best known as a founder and former frontman...

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Jim Simons

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Papakyriakopoulos 1964 Raoul Bott 1966 Stephen Smale 1966 Morton Brown and Barry Mazur 1971 Robion Kirby 1971 Dennis Sullivan 1976 William Thurston 1976 James...

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Arithmetic topology

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bruyn's blog, May 16, 2011, Remarks on the Alexander Polynomial, Barry Mazur, c.1964 B. Mazur, Notes on ´etale cohomology of number fields, Ann. scient. ´Ec...

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Euler system

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of Iwasawa theory, considered simpler than the original proof due to Barry Mazur and Andrew Wiles. Although there are several definitions of special sorts...

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Main conjecture of Iwasawa theory

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(Second ed.), ISBN 978-3-540-20364-3, ISSN 0938-0396, Zbl 1079.11002 Mazur, Barry; Wiles, Andrew (1984), "Class fields of abelian extensions of Q", Inventiones...

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Algebraic topology

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Solomon Lefschetz Jean Leray Saunders Mac Lane Mark Mahowald J. Peter May Barry Mazur John Milnor John Coleman Moore Jack Morava Joseph Neisendorfer Emmy Noether...

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List of University Professors at Harvard University

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Professor Mikhail Lukin – Joshua and Beth Friedman University Professor Barry Mazur – Gerhard Gade University Professor Martha Minow – Three Hundredth Anniversary...

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Michael Artin

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cohomology, jointly with Alexander Grothendieck. He also collaborated with Barry Mazur to define étale homotopy theory which has become an important tool in...

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Mazur manifold

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called contractible manifolds. The boundary of a Mazur manifold is necessarily a homology 3-sphere. Barry Mazur and Valentin Poenaru discovered these manifolds...

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Jakob Stix

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error in an influential 1997 paper by Lucia Caporaso, Joe Harris and Barry Mazur on the implications of the strong Lang conjecture ("Uniformity of rational...

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Alexander Grothendieck

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there as well. Many others such as David Mumford, Robin Hartshorne, Barry Mazur and C.P. Ramanujam were also involved. Alexander Grothendieck's work...

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Numberphile

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Harriss Gordon Hamilton Tim Harford Don Knuth Holly Krieger James Maynard Barry Mazur Steve Mould Colm Mulcahy Tony Padilla Simon Pampena Matt Parker Roger...

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Chern Medal

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representation theory sustained over a period of almost 50 years." 2022 Barry Mazur "For his profound discoveries in topology, arithmetic geometry and number...

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Harvard Society of Fellows

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Physics 2004 – present Joseph Koerner History of Art 2008 – present Barry Mazur Mathematics 2002 – present Gregory Nagy Classics, comparative literature...

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