Research Group Antonella Perucca’s research group

Investigating numbers

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Members of our group study number theory (algebraic, analytic, and computational aspects) and arithmetic geometry.

Kummer theory and the reductions of algebraic groups

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We study algebraic groups (for example, elliptic curves) defined over number fields. In particular, we develop Kummer theory for number fields and we consider problems related to the reductions (for example, Artin’s Conjecture for primitive roots). To learn more about the diversity of our research and researchers, see the link below.