Birs- 20w5005: Modern Breakthroughs in Diophantine Problems (Online)

  1. Title:
    Q-curves over odd degree number fields

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  2. Title:
    A general S-unit equation solver and tables of elliptic curves over number fields

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  3. Title:
    On Isolated Points of Odd Degree

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  4. Title:
    Principal polarizations and Shimura data for families of cyclic covers of the projective line

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  5. Title:
    Powers in arithmetic progressions

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  6. Title:
    Hasse principle for a family of K3 surfaces

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  7. Title:
    Explicit coverings of K3 surfaces by the square of a curve

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  8. Title:
    Fields of definition of elliptic fibrations on covers of certain extremal rational elliptic surfaces

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  9. Title:
    The geometric sieve for quadrics and applications

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  10. Title:
    Campana points, a new number theoretic challenge

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  11. Title:
    Modularity of elliptic curves over totally real quartic fields not containing the square root of 5

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  12. Title:
    Rational torsion points on J_0(N)

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  13. Title:
    A Chabauty-Coleman bound for surfaces in abelian threefolds

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