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|Home page of the Harvard University professor, whose research interests include number theory, automorphic forms, and related issues in algebraic geometry. The author of Imagining Numbers (Particularly the Square Root of Minus Fifteen), Mazur freely offers dozens of his published research articles, notes from lectures, forewords to books, remembrances, and more. See, in particular, PDFs of his responses to "What should a professional mathematician know?" and "What is the surface area of a hedgehog?" and "Is mathematics discovered or invented?" Older material includes "Questioning answers," his lecture to high school students about the arithmetic of elliptic curves; and "Remarks on the Alexander Polynomial," about the analogy between knots in the three-dimensional sphere and prime numbers (and, correspondingly, the relationship between the Alexander polynomial and Iwasawa Theory).|
|Levels:||Middle School (6-8), High School (9-12), College, Research|
|Math Topics:||Group Theory, Algebraic Geometry, Number Theory|
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