Christopher Deninger
Christopher Deninger ( born April 8, 1958 in Frankfurt am Main ) is a German mathematician who deals with number theory and arithmetic algebraic geometry.
He studied from 1976 Mathematics at the University of Cologne, where he in 1980 was awarded a degree and in 1982 with Curt Meyer with the dissertation lattice point theory of simplices and their relation to Diophantine approximation, generalized Dedekind sums and the holomorphic Lefschetz theorem was awarded his doctorate. 1983 to 1989 he was assistant to Jürgen Neukirch, where he habilitated in 1989 at the University of Regensburg. Deninger is since 1989 professor at the Westfälische Wilhelms-Universität Münster and director of the Mathematical Institute.
He examined a link between dynamical systems and analytic number theory, which he at the International Congress of Mathematicians in Berlin held a plenary lecture in 1998, and a possible cohomological interpretation of the explicit formulas of analytic number theory.
In 1992, he received together with Michael Rapoport, Peter Schneider and Thomas Zink the Gottfried Wilhelm Leibniz Prize. Since 2003 he is member of the German Academy of Sciences Leopoldina. He is a Fellow of the American Mathematical Society.
His doctoral include the professors Annette Huber- Klawitter (Freiburg ), Thomas Geisser ( University of Southern California ), Klaus Künnemann (Regensburg), Niko Naumann ( Regensburg ), Annette Werner ( Frankfurt ), Jörg Wild House ( University of Paris XIII) and Guido Kings (Regensburg).
Writings
- Higher regulators and Hecke series of imaginary quadratic fields. I: Invent. Math 96 (1989 ), no 1, 1-69; II: Ann. of Math ( 2) 132 (1990 ), no 1, 131-158.
- On the- factors attached to motives. Invent. Math 104 (1991), no 2, 245-261.
- Local - factors of motives and regularized determinants. Invent. Math 107 (1992), no 1, 135-150.
- Higher order operations in Deligne cohomology. Invent. Math 120 (1995), no 2, 289-315.
- Deligne periods of mixed motives, -theory and the entropy of Certain actions. J. Amer. Math Soc. 10 (1997 ), no 2, 259-281.
- Fuglede - Kadison determinants and entropy for actions of discrete amenable groups. , J. Amer. Math Soc. 19 (2006 ), no 3, 737-758
- Deninger: Analogies in between analysis on foliated spaces and arithmetic geometry. 2007
- Deninger: Number theory and dynamical systems on foliated spaces. Annual Report 2001 DMV