Cornelius Greither (born 1956)
is a German mathematician specialising in
Iwasawa theory and the structure of
Galois modules.
Education and career
Greither completed his PhD in 1983 at the
Ludwig-Maximilians-Universität München
The Ludwig Maximilian University of Munich (simply University of Munich or LMU; german: Ludwig-Maximilians-Universität München) is a public research university in Munich, Germany. It is Germany's sixth-oldest university in continuous operatio ...
under the supervision of Bodo Pareigis:
his thesis bears the title ''Zum Kürzungsproblem kommutativer Algebren''.
He
habilitated
Habilitation is the highest university degree, or the procedure by which it is achieved, in many European countries. The candidate fulfills a university's set criteria of excellence in research, teaching and further education, usually including a ...
in 1988 at same university, with thesis title ''Cyclic Galois extensions and normal bases''.
In 1992, Greither proved the
Iwasawa main conjecture for
abelian number field
In mathematics, class field theory (CFT) is the fundamental branch of algebraic number theory whose goal is to describe all the abelian Galois extensions of local and global fields using objects associated to the ground field.
Hilbert is credit ...
s in the
case.
In 1999, together with D. R. Rapogle,
K. Rubin, and A. Srivastav, he proved a converse to the
Hilbert–Speiser theorem
In mathematics, the Hilbert–Speiser theorem is a result on cyclotomic fields, characterising those with a normal integral basis. More generally, it applies to any finite abelian extension of , which by the Kronecker–Weber theorem are isomorph ...
.
As of 2021, Greither is a full professor at the
Universität der Bundeswehr München;
he is supposed to retire from this university by October 2022.
Greither is on the editorial boards of the journals ''Archivum mathematicum Brno'',
''New York Journal of Mathematics'',
as well as the ''Journal de Théorie des Nombres Bordeaux''.
Until 2014, he was an associate editor of ''Annales mathématiques du Québec''.
References
{{DEFAULTSORT:Greither, Cornelius
1956 births
Living people
20th-century German mathematicians
21st-century German mathematicians
Place of birth missing (living people)
Number theorists