Humboldt-Universität zu Berlin - Mathematisch-Naturwissenschaftliche Fakultät - Institut für Mathematik

Algebraische und Arithmetische Geometrie und Zahlentheorie

Algebraic geometry is the qualitative study of systems of polynomial equations, which are ubiquitous in science. This study is carried out via a wide range of geometric, topological and cohomological methods. Number theory, the study of the integers, is one of the oldest areas of mathematics; it has recently received enormous impetus via the Langlands program that connects number theory to representation theory, and via applications in computer science and cryptography. Arithmetic Geometry may be regarded as a modern unification of Algebraic Geometry and Number Theory.



The research and teaching at HU Berlin in these areas covers a large variety of topics including:

  • Algebraic curves and abelian varieties, algebraic groups
  • Hodge theory and transcendental properties of algebraic varieties
  • Number Theory and Representation Theory; p-adic Langlands program
  • Moduli spaces in algebraic geometry
  • Singularities, D-modules and perverse sheaves
  • Commutative algebra and syzygies


Prof. Dr. Gavril Farkas

Prof. Dr. Elmar Große-Klönne

Prof. Dr. Bruno Klingler

Prof. Dr. Jürg Kramer

Prof. Dr. Thomas Krämer