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An algorithm for solving dimension 5 quadratic equations without factorisation
This thesis in algorithmic number theory presents a new probabilistic algorithm for solving dimension 5 quadratic equations over Z or Q without using any... -
Weak approximation and local-global principle for certain rationally connecte...
This thesis is concerned with the study of some arithmetic properties of certain algebraic varieties which are ``simplest'' in some geometric sense and which are... -
Images of Galois representations
In this thesis we investigate 2-dimensional, continuous, odd, residual Galois representations and their images. This manuscript consists of two parts.In the first part...
