Birs- 15w5054: The Geometry, Algebra and Analysis of Algebraic Numbers

  1. Title:
    Mahler measure, regulators and modular units

    Speaker:

    Link:

  2. Title:
    The Mahler measure of elliptic curves

    Speaker:

    Link:

  3. Title:
    The method of asymptotic expansions of Poincaré and Mahler measures of univariate polynomials in the Conjecture of Lehmer

    Speaker:

    Link:

  4. Title:
    Using continued fractions to study metric Mahler measures

    Speaker:

    Link:

  5. Title:
    Root statistics of random (real) polynomials with bounded Mahler measure

    Speaker:

    Link:

  6. Title:
    Counting algebraic integers of fixed degree and bounded height

    Speaker:

    Link:

  7. Title:
    Counting dominant and degenerate polynomials

    Speaker:

    Link:

  8. Title:
    Regions containing roots of polynomials

    Speaker:

    Link:

  9. Title:
    Barker Polynomials

    Speaker:

    Link:

  10. Title:
    Coppersmith-Rivlin type inequalities and the order of vanishing of polynomials at 1

    Speaker:

    Link:

  11. Title:
    Simple linear relations between conjugate algebraic numbers

    Speaker:

    Link:

  12. Title:
    On the approximation of transcendental numbers by algebraic numbers of bounded degree

    Speaker:

    Link:

  13. Title:
    Root separation for reducible integer polynomials

    Speaker:

    Link:

  14. Title:
    Multiplicatively dependent vectors of algebraic numbers

    Speaker:

    Link:

  15. Title:
    Remarks on diophantine approximation in the multiplicative group and generalized Lehmer problems

    Speaker:

    Link:

  16. Title:
    On ternary linear recurrences

    Speaker:

    Link:

  17. Title:
    Extremal Fourier analysis and some applications to number theory

    Speaker:

    Link:

  18. Title:
    On Narkiewicz’s property (P)

    Speaker:

    Link:

  19. Title:
    On the degree of compositum of two number fields

    Speaker:

    Link:

  20. Title:
    Salem numbers of trace -2 and a conjecture of Estes and Guralnick

    Speaker:

    Link: