New posts in Arithmetic Geometry

Smooth projective surface with geometrically integral reduction

Are "large enough" finite etale covers arithmetic?

What is the state-of-the-art for solving polynomials systems over fields that are not algebraically closed?

Why is this "the first elliptic curve in nature"?

The diagonal of the Weil restriction

$p$-adic series bounded if and only if it has finitely many zeros

Points on hyperelliptic curves: $y^2=5(x^2-3)(x^2+2)(x^2-11/5)$

Bounded Torsion, without Mazur’s Theorem

Classify 2-dim p-adic galois representations

Can someone suggest a path to study Mordell-Weil theorem for someone studying on their own?