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Research interests

The main focus of my research is the arithmetic of abelian varieties and the study of their associated Galois representations (in the spirit of the Mumford-Tate and Sato-Tate conjectures). This comprises questions ranging from pure arithmetic geometry (can we find a good description of the effect of base change on the Néron model of a non-semistable abelian variety?) to computational problems (how does one determine the endomorphism ring of the Jacobian of a nice curve over the rationals?)

Here is a short list of problems I would like to think about in the future.