Greither completed his PhD in 1983 at the Ludwig-Maximilians-Universität München under the supervision of Bodo Pareigis:[3] his thesis bears the title Zum Kürzungsproblem kommutativer Algebren.[4]
He habilitated in 1988 at same university, with thesis title Cyclic Galois extensions and normal bases.[4]
Greither is on the editorial boards of the journals Archivum mathematicum Brno,[2][11]New York Journal of Mathematics,[2][12] as well as the Journal de Théorie des Nombres Bordeaux.[2][13] Until 2014, he was an associate editor of Annales mathématiques du Québec.[2][14]
^Washington, Lawrence C. (1997). Introduction to Cyclotomic Fields (2 ed.). Springer. p. 372.
^Greither, Cornelius; Replogle, Daniel R.; Rubin, Karl; Srivastav, Anupam (1999), "Swan modules and Hilbert–Speiser number fields", Journal of Number Theory, 79: 164–173, doi:10.1006/jnth.1999.2425