This thesis consists of three chapters, the first two of which concern division points of elements of the multiplicative group of a number field. The third chapter involves division points of... Show moreThis thesis consists of three chapters, the first two of which concern division points of elements of the multiplicative group of a number field. The third chapter involves division points of points on an elliptic curve with complex multiplication over a number field. Show less
We bound Arakelov invariants of curves in terms of their Belyi degree. We give three applications which are algorithmic, geometric and Diophantine of nature, respectively
