Topological four-manifolds with finite fundamental group formed the basis of the 1992 doctoral thesis produced by Peter Teichner at the University of Mainz. Born in 1963 in Bratislava, he developed a career in mathematics that spans international institutions, focusing his research on the qualitative geometric properties of complex objects and the refinement of quantum field theories.
Early Research and Doctoral Studies
After graduating from the University of Mainz in 1988, Teichner spent a year at McMaster University in Hamilton, Ontario, supported by a Government of Canada Award. He returned to the Max Planck Institute for Mathematics from 1989 to 1990. Following a tenure as a research assistant at the University of Mainz, he earned his doctorate in 1992 under the guidance of advisor Matthias Kreck.
Twenty questions, eight minutes on the clock, and a percentile measured against everyone who has taken it. No sign-up.
Take the IQ test →International Collaborations and Professorships
Teichner held a Feodor Lynen Scholarship from the Humboldt Foundation, which facilitated his move to the University of California, San Diego, between 1992 and 1995. During this period, he collaborated with Michael Freedman. Following a 1995 stint at the Institut des Hautes Études Scientifiques in Bures-sur-Yvette, France, he joined the University of California, Berkeley, as a Miller Research Fellow in 1996. He secured an associate professorship at UC San Diego in 1996, received tenure there in 1999, and remained with the institution until 2004. He subsequently became a full professor at UC Berkeley, holding that position until his retirement in 2019.
Mathematical Contributions and the Stolz-Teichner Program
Teichner’s early research addressed the classification of four-manifolds. Working alongside Mike Freedman, he investigated four-manifolds characterized by sub-exponential growth of the fundamental group. His later work shifted toward topological and Euclidean field theories. Through the Stolz-Teichner program, he and Stephan Stolz sought to formalize quantum field theory as a cohomology theory, aiming to establish a rigorous framework for evaluating the relationships between space-time and quantum fields. Since 2008, he has served as a director at the Max Planck Institute for Mathematics in Bonn, additionally acting as managing director from 2011 through 2019.
Fast facts
- Born: 1963, Bratislava
- Citizenship: Germany
- Doctoral Advisor: Matthias Kreck
- Key Collaborator: Michael Freedman
- PhD Institution: University of Mainz
- Retired: 2019
Questions readers ask
What is the Stolz-Teichner program?
It is an ongoing project involving Peter Teichner and Stephan Stolz that aims to refine the mathematical definition of quantum field theory to interpret deformation classes as qualitative properties of manifolds.
Where did Peter Teichner hold academic positions?
He worked at the University of Mainz, McMaster University, UC San Diego, UC Berkeley, and the Max Planck Institute for Mathematics in Bonn.
Achievements
- Held posts at University of California, Berkeley and University of California, San Diego
.jpg)
