Peter Teichner (born June 30, 1963 in Bratislava, Czechoslovakia) is a German mathematician and one of the directors of the Max Planck Institute for Mathematics in Bonn.
With a Feodor Lynen Scholarship from the Humboldt Foundation, he went to UC San Diego from 1992 to 1995 and collaborated with Michael Freedman.
Peter Teichner's work lies in the field of topology, which deals with qualitative properties of geometric objects.
Together with the Fields medalist Mike Freedman, Peter Teichner made contributions to the classification of 4-manifolds whose fundamental group only grows sub-exponentially.
The emerging language should be flexible enough to formulate new physical theories, but also so precise that predictions can be made about the impossibility of certain combinations of space-time and quantum fields.