Intercity number theory seminar 1997-98

Jaap Top - Computing Mordell-Weil groups of elliptic curves
Tim Dokshitzer - Galois representations arising from elliptic curves

Jaap Top - Explicit descent on certain jacobians
Fabrizio Andreatta - Definition and properties of the Serre group

Marco Garuti - Locally algebraic abelian representations
Robert Perlis (LSU, Baton Rouge) - Arf-equivalence of number fields
Frits Beukers - Computation of rational points on curves of genus >1

Peter Stevenhagen - Galois representations arising form elliptic curves, I
Bart de Smit - Galois representations arising form elliptic curves, II

Frits Beukers - Computation of rational points on curves of genus >1
Rob Tijdeman - A proof of Mahler's conjecture on the values of the modular function
Alex Heinis - On balance and stiffness

Nils Bruin - Computation of rational points on curves of genus >1
Hans Roskam - Galois representations arising from CM-elliptic curves

Hendrik Lenstra - Zeros of lacunary polynomials
Don Zagier - Differentiating modular forms, with applications in number theory

Irene Bouw - Coverings in characteristic p
Marius van der Put - The inverse problem of differential Galois theory
Jaap Top - Coverings of P^1 minus three points with group SL(2,F_q)

Bart de Smit - Arithmetically equivalent fields and elliptic curves
Tom Schmidt - The geometry of Markoff numbers

Lily Khadjavi - On a theorem of Belyi's
Wayne Whitney - Continuous cohomology

Jim Borger - Non-classical ramification theory
Hans Roskam - Artin's conjecture on primitive roots and applications

Symposium on computational number theory

The prize is awarded to Nesterenko and Pisier. The morning talks are of number theoretic interest.

R. Tijdeman - On the nature of the numbers e and pi
Y.V. Nesterenko - Transcendental numbers: results and problems

R. P. Brent - Integer factorization algorithms illustrated by the factorization of Fermat numbers
M. Honsbeek - Nested radicals
S. Gebre-Egziabher - On a sign question in the Lucas-Lehmer test
M. Wolf - Some conjectures on the gaps between consecutive primes

Vasili Shabat - Curves over finite fields with many points - explicit construction
Roland Auer - Equations and formulas for ray class fields of global function fields
Marius van der Put - Analytic theory of Drinfeld modules of rank 2
Jaap Top - Algebraic results on Drinfeld modular curves
Heinz-Georg Quebbemann - Extremal lattices in Euclidean spaces