Contents
Preface
Schedule of talks
Results of Cohen-Lenstra type for quadratic function fields
JEFFREY D
0
ACUTER
The hardness of computing an eigenform
ERIC BACH and DENIS CHARLES
Constructing elliptic curves of prime order
REINIER BROKER and PETER STEVENHAGEN
Space-time codes and non-associative division algebras arising from elliptic
curves
ABDULAZIZ DEAJIM and DAVID GRANT
Points of low height on
JP1
over number fields and bounds for torsion in class
groups
ix
xi
1
9
17
29
JORDAN So ELLENBERG 45
Supersingular genus-2 curves over fields of characteristic 3
EVERETT W o HOWE 49
Search techniques for root-unitary polynomials
KIRAN So KEDLAYA
71
Yet more elements in the Shafarevich-Tate group of the jacobian of a Fermat
Curve
BENJAMIN LEVITT and WILLIAM McCALLUM 83
Stable reduction of
Xo(81)
KEN McMURDY 91
Isomorphism types of commutative algebras of finite rank over an algebraically
closed field
BJORN POONEN
A short guide top-torsion of abelian varieties in characteristic
p
RACHEL PRIES
vii
111
121
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