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<br><br>Barry Mazur (English Barry Mazur, born December 19, 1937) – American mathematician, professor at .<br><br> was born in New York in 1937. He studied at the Massachusetts Institute of Technology, but did not receive a bachelor’s degree, as he was considered inadequate for the training program for reserve officers. Despite this, he was able to continue his studies at Princeton University and, in 1959, received a Ph.D. degree, after which he worked at Harvard University. In 1960 he Dayne, her specialty is a biologist. They had one child.<br><br>Mazur’s early work related to geometric topology. Back in the 50s, he proved the Schoenflis conjecture, which is a complicated version of Jordan’s theorem (independently of him, this conjecture was proved by Morton Brown). He was also the first to describe the Mazur manifold – a contractible compact fourdimensional smooth manifold (with boundary), not homeomorphic to a fourdimensional ball.<br><br>In the 60s, he began to work in the field of algebraic geometry, especially Diophantine and arithmetic geometry (associated with number theory). The reasons that contributed to this transition, he described as follows:<br><br> I was fortunate that when I first started thinking about number theory, I was surrounded by mathematicians whose work embodied these sentiments. Serge Leng helped me a lot, […] he gave me hope that a topological point of view could be useful in number theory. Grothendieck was especially patient with me, because when we first met, I knew practically nothing about algebra. During one of our first meetings, he raised the question (which had previously been posed to him by Washnitzer) whether a smooth proper algebraic variety over a real quadratic field can give topologically nonisomorphic varieties using two different embeddings of a number field in R… An excellent question, at least for me! Not that I could answer it, but it was one of the few algebraicgeometric questions that I was able to appreciate then. […] this question was enough stimulus for a topologist to become interested in algebraic geometry. I started studying algebraic geometry working with Mike Artin.<br><br> – Mazur’s Response to the Steele Award<br><br>Mazur proved several theorems that had a great influence on the development of number theory. Mazur’s torsion theorem, which gives a complete list of possible torsion subgroups of elliptic curves over rational numbers, is an important result in the arithmetic of elliptic curves. The article Modular curves and the Eisenstein ideal he analyzes the rational points of certain modular curves, some of the results from this article were used by Wiles in the proof of Fermat’s Last Theorem. Even before that, Wiles and Mazur jointly proved the Iwasawa Main Hypothesis.<br><br>Mazur has written two books in which he explains his understanding of number theory: Imagining numbers: (particularly the square root of minus fifteen) and Circles Disturbed, a collection of essays on mathematics and narrative…<br><br>Since 1982, Barry Mazur has been a member of the US National Academy of Sciences, since 2012 – a full member of the American Mathematical Society. He was awarded the Veblen Prize for Geometry, the Cole Prize for Number Theory, the Chauvinet Prize, and the Steele Prize with the formulation: „for fruitful contributions to research.” In early 2013, he was awarded the US National Medal of Science.<br>


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