Cornelius Greither (born 1956) is a German mathematician specialising in

Iwasawa theory In number theory, Iwasawa theory is the study of objects of arithmetic interest over infinite Tower of fields, towers of number fields. It began as a Galois module theory of ideal class groups, initiated by (), as part of the theory of cyclotomic ...

and the structure of

Galois module In mathematics, a Galois module is a ''G''-module, with ''G'' being the Galois group of some extension of fields. The term Galois representation is frequently used when the ''G''-module is a vector space over a field or a free module over a ring i ...

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, LMU or LMU Munich; ) is a public university, public research university in Munich, Bavaria, Germany. Originally established as the University of Ingolstadt in 1472 by Duke ...

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 Germany, France, Italy, Poland and some other European and non-English-speaking countries. The candidate fulfills a university's set criteria of excellen ...

in 1988 at same university, with thesis title ''Cyclic Galois extensions and normal bases''. In 1992, Greither proved the

Iwasawa main conjecture In mathematics, the main conjecture of Iwasawa theory is a deep relationship between ''p''-adic ''L''-functions and ideal class groups of cyclotomic fields, proved by Kenkichi Iwasawa for primes satisfying the Kummer–Vandiver conjecture and p ...

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 credite ...

s in the

p=2

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 isomorphi ...

. Greither was a full professor at the

Universität der Bundeswehr München Entrance to the university University of the Bundeswehr Munich (, UniBw München) is one of two research universities in Germany at federal level that both were founded in 1973 as part of the German Armed Forces (''Bundeswehr''). Originally cal ...

. He retired in 2022, and he is now an

emeritus ''Emeritus/Emerita'' () is an honorary title granted to someone who retires from a position of distinction, most commonly an academic faculty position, but is allowed to continue using the previous title, as in "professor emeritus". In some c ...

. Greither is on the editorial boards of the journals '' Archivum Mathematicum (Brno)'', ''

New York Journal of Mathematics The ''New York Journal of Mathematics'' is a peer-reviewed journal focusing on algebra, analysis, geometry and topology. Its editorial board, , consists of 17 university-affiliated scholars in addition to the Editor-in-chief. Articles in the ''New ...

'', as well as the '' Journal de Théorie des Nombres de 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) German number theorists