
Emeritus Professor of Mathematics
Prof. University of Basel 1981 - 2014
Hanspeter Kraft's research at the University of Basel focuses on algebraic transformation groups and classical invariant theory. He investigates how groups act on algebraic varieties, how orbits, stabilizers and invariants arise and how spaces of orbits can be described algebraically. He is concerned, for example, with when the automorphism group of an affine variety fixes it up to isomorphism and how the invariant rings and quotient spaces are constructed. His work combines algebraic geometry, group theory and commutative algebra and makes important contributions to the understanding of how symmetries work structurally in geometric contexts and which algebraic data they generate.
| 1981 - 2014 | Full Professor, University of Basel |
| 1979 - 1981 | Full Professor, University of Hamburg |
| 1976 - 1979 | Associated Professor, University of Bonn |
| 1975 | Visiting Professor, SFB Bonn |
| 1974 - 1975 | Lecturer, University of Regensburg |
| 1974 | Habilitation, University of Bonn |
| 1970 - 1974 | University of Bonn; Research Fellowship from Swiss National Science Foundation |
| 1965 - 1969 | Assistant, Mathematical Institute of the University of Basel |
| 1969 | Doctorate, University of Basel |
| 1967 | Diploma in Mathematics and Physics |
| 1963 - 1969 | Studies at the University of Basel |
Invariants and separating morphisms for algebraic groups actions (with E. Dufresne), Math. Z. 280(1) (2015) 231-255
Families of Group Actions, Generic Isotriviality, and Linearization (with P. Russell). Transformation Groups 19 (2014) 779-792
Varieties characterized by their endomorphisms (with R. Andrist). Math. Research Letters 21 (2014) 225-233