Arithmetic geometry
The specialisation in arithmetic geometry is dedicated to central questions at the interface of algebraic geometry and number theory. A particular focus is on the investigation of homotopy and category theoretical phenomena.
Subject areas
Topics for theses are mostly algebraic geometry, commutative algebra and number theory. Specifically:
- Algebraic varieties over finite, local and global fields
- L-functions and their special values
- Modular forms
- Non-Archimedean analysis, tropical geometry
- Arakelov geometry
- Higher cohomological invariants in arithmetic geometry
- Motives, motivic homotopy theory and motivic cohomology
- Algebraic K-theory
- Elliptic curves and Abelian varieties
- Iwasawa theory
- Higher categories, higher topoi
- Derived algebraic geometry
- Equivariant and chromatic homotopy, elliptic cohomology
Carers
Members of the Arithmetic Geometry specialisation area:
Further information on the specialisation Arithmetic Geometry
- Lectures and seminars
- Final theses