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Topics in Number Theory: Sieves and Algebraic Number Theory

MAT 519

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We discuss recent developments in arithmetic statistics. Topics include the study of squarefree values of polynomials, Galois groups of random polynomials, field extensions with given Galois group, sizes and structure of class groups, Selmer groups, Tate-Shafarevich groups, and related problems involving sieve theory and algebraic number theory.
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Section C01