3 lives in this collection worked in arithmetic geometry, from 1898 to today. Each has a full course on their life and the mathematics and physics they made.
Often together with: number theory. All fields
Number theorist who introduced the local-global principle, shaped class field theory and proved the Riemann hypothesis for elliptic curves over finite fields, and who directed the Göttingen institute under National Socialism.
algebraic number theory, class field theory, arithmetic of quadratic forms
Founder of Bourbaki who proved the Riemann hypothesis for curves over finite fields and formulated the Weil conjectures.
number theory, algebraic geometry, arithmetic geometry
Number theorist who proved Fermat's Last Theorem by establishing the modularity of semistable elliptic curves.
number theory, arithmetic geometry, iwasawa theory