Greither completed his
PhD in 1983 at
LMU Munich under the supervision of Bodo Pareigis: his thesis bears the title
Zum Kürzungsproblem kommutativer Algebren. He
habilitated in 1988 at same
university, with thesis title
Cyclic Galois extensions and normal bases. In 1999, together with D. R. Rapogle,
K. Rubin, and A. Srivastav, he proved a converse to the
Hilbert–Speiser theorem. Greither was a full professor at the
University of the Bundeswehr Munich. He retired in 2022, and he is now an
emeritus. 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 de Bordeaux. Until 2014, he was an associate editor of
Annales mathématiques du Québec. == References ==