# arithmetic geometryの例文

- His research covers a wide variety of topics within arithmetic geometry.
- Arithmetic geometry is an active field combining algebraic geometry and number theory.
- Bogomolov has contributed to several aspects of arithmetic geometry.
- Stevens research specialties are number theory, automorphic forms, and arithmetic geometry.
- His research deals with algebraic and arithmetic geometry and non-archimedean function theory.
- IUT is a pioneering theory whose vision lies substantially outside the scope of arithmetic geometry.
- Her research is based in arithmetic geometry with applications to mathematical physics and notably mirror symmetry.
- Silverman's work has been in number theory, arithmetic geometry, arithmetic dynamics and cryptography.
- These primarily arise in various branches of number theory, such as arithmetic geometry and elliptic cohomology.
- Even in a more concrete sense, group schemes and algebraic groups are central to arithmetic geometry.
- The Weil conjectures were formulated in the later 1940s as a set of mathematical problems in arithmetic geometry.
- The theory is radically different from any standard theories and goes well outside the scope of arithmetic geometry.
- In 2005 Kato received the Imperial Prize of the Japan Academy for " Research on Arithmetic Geometry ".
- He is known for his work in arithmetic geometry, in particular on elliptic curves in characteristic p.
- He worked primarily in number theory, with specific interests in p-adic analysis and arithmetic geometry.
- Another natural development in arithmetic geometry is to understand and construct class field theory which describes abelian extensions of higher local and global fields.
- This is encapsulated in the idea of a local-global principle, which is one of the most fundamental techniques in arithmetic geometry.
- His main work has been in number theory, where he has been instrumental in developing various aspects of function field arithmetic and arithmetic geometry.
- In 2015 he was elected as a fellow of the American Mathematical Society " for contributions to algebraic and arithmetic geometry and to model theory ".
- In 2013, Hassett was named as a fellow of the American Mathematical Society " for contributions to higher-dimensional arithmetic geometry and birational geometry ."