Lubjana Beshaj
Published 2015-02-23Version 1
In these lectures we give an introduction to the reduction theory of binary forms starting with quadratic forms with real coefficients, Hermitian forms, and then define the Julia quadratic for any degree $n$ binary form. A survey of a reduction algorithm over $\mathbb Z$ is described based on recent work of Cremona and Stoll.
Anisotropy of quadratic forms over a global field of odd characteristic is diophantine
On pairs of quadratic forms in five variables
Heights and quadratic forms: on Cassels' theorem and its generalizations
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