Research Group Number Theory and Arithmetic Geometry

Investigating numbers

perucca-board

The group members explore many facets of modern number theory (algebraic, analytic, and computational aspects), arithmetic geometry and cryptography. They represent a broad spectrum of number theory and they are involved in multiple research projects.

Kummer theory and the reductions of algebraic groups

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鈥檚 Conjecture on primitive roots).

    Heads of Group

    • Assoc. Prof Antonella PERUCCA

      Assoc. Prof Antonella PERUCCA

      Associate professor in Mathematics

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    • Prof Gabor WIESE

      Prof Gabor WIESE

      Full professor in Mathematics

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