Jürgen Neukirch

Who was Jürgen Neukirch?

Jürgen Neukirch was a German mathematician known for his work on algebraic number theory.

He got his diploma in mathematics in 1964 in Bonn, for his PhD thesis 1965 he was awarded the Felix-Hausdorff-Gedächtnis-Preis and habilitated one year later. From 1967 to 1969 he was guest professor in Kingston, Ontario and in Cambridge/Mass., then professor in Bonn. In 1971 he moved to Regensburg university.

He is known for his work on the embedding problem in algebraic number theory, the Báyer–Neukirch theorem on special values of L-functions, arithmetic Riemann existence theorems and the Neukirch–Uchida–Pop theorem in birational anabelian geometry. He gave a simple description of the reciprocity maps in local and global class field theory.

He wrote three books on class field theory, algebraic number theory, and the cohomology of number fields, respectively.

Among his students were Uwe Jannsen, Peter Schneider and Michael Spieß.