Fields- 2016 Fields Medal Symposium

  1. Title:
    Rational points on hyperelliptic curves

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  2. Title:
    Integral points on Markoff type cubic surfaces

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  3. Title:
    Bhargava's results on p -adic analytic functions

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  4. Title:
    Prime number theorems for hyperbolic manifolds and rational maps

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  5. Title:
    Arithmetic statistics for modular symbols

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  6. Title:
    Ranks of elliptic curves: heuristics, theorems, and data

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  7. Title:
    Cohen-Lenstra-Martinet theorems over function fields

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  8. Title:
    Density of polynomials with squarefree discriminant

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  9. Title:
    Polynomials having squarefree discriminants and class groups in odd degree number fields

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  10. Title:
    Equidistribution of Shapes of Number Fields of degree 3, 4, and 5

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  11. Title:
    The number of D4 -quartic fields ordered by conductor

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  12. Title:
    Black box Galois representations

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  13. Title:
    The Cassels-Tate pairing and (2,2,2)-forms

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  14. Title:
    Algebraic Knot Invariants, Arithmetic Invariant Theory, and Asymptotics

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  15. Title:
    Bounding 2-torsion in class groups of number fields

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  16. Title:
    Local Galois Representations and Applications

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  17. Title:
    Elliptic curves of ranks 0 and 1

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