Emeritus Professor, Dr.rer.nat. (Saarbrücken), Habil. (Münster)
Dept. of Mathematics & Statistics, McMaster University
1280 Main Street West
Canada L8S 4K1
905-525-9140, ext. 27243
Research Area: Algebra & Number Theory
Research Profile: Algebraic number theory, algebraic K-theory
Some highlights in classical algebraic number theory are the development of class field theory, the study of L-functions and Zeta-functions, and their relationship to class groups and unit groups of number fields. New powerful tools have been invented since the 1960s and 1970s, in particular Iwasawa-theory, ätale cohomology, and last not least, algebraic K-theory, whose applications go far beyond the classical framework and lead into arithmetic algebraic geometry. My current research focuses on applications of this machinery to classical problems in number theory (e.g. Leopoldt's Conjecture, Vandiver's Conjecture), on generalizations of classical results about class groups and units to higher algebraic K-groups, and on their calculation by means of special values of L-functions.