Failure of the Hasse principle for Enriques surfaces

Failure of the Hasse principle on general K3 surfaces

Failure of the Local to Global Principle in the Eigencurve

Faltings heights of big CM cycles and derivatives of L-functions

Faltings heights of CM cycles and derivatives of L-functions

Families of Artin-Schreier curves with Cartier-Manin matrix of constant rank

Families of curves over any finite field with a class number greater than the Lachaud - Martin-Deschamps bounds

Families of Explicit Isogenies of Hyperelliptic Jacobians

Families of explicitly isogenous Jacobians of variable-separated curves

Families of noncongruent numbers

Families of Quasimodular Forms and Jacobi Forms: The Crank Statistic for Partitions

Familles de polynomes liees aux courbes modulaires X_1(l) unicursales et points rationnels non-triviaux de courbes elliptiques quotient

Farmer Ted Goes Natural

Fast algorithms for computing isogenies between ordinary elliptic curves in small characteristic

Fast arithmetic in unramified p-adic fields

Fast computation of a rational point of a variety over a finite field

Fast construction of irreducible polynomials over finite fields

Fast converging series for some famous constants

Fast Elliptic Curve Arithmetic and Improved Weil Pairing Evaluation

Fast Jacobian group operations for C_{3,4} curves over a large finite field