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Some of my recent research interests include:
Connections between 2-dimensional Arakelov geometry and the new theory of higher adeles on arithmetic surfaces. This is a crucial part of the long term project of generalising Tate's thesis to arithmetic surfaces.
Higher dimensional Arakelov geometry: analogies between classical intersection theory of algebraic varieties and arithmetic intersection theory.
List of publications and preprints (newest to oldest)*
(with F. Zucconi) On the generalisation of Roth's theorem.