Cornelius Greither (born 1956)[1] is a German mathematician specialising in Iwasawa theory and the structure of Galois modules.[2]

Education and career

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]

In 1992, Greither proved the Iwasawa main conjecture for abelian number fields in the case.[5][6] In 1999, together with D. R. Rapogle, K. Rubin, and A. Srivastav, he proved a converse to the Hilbert–Speiser theorem.[7]

Greither was a full professor at the Universität der Bundeswehr München. He retired in 2022,[8] and he is now an emeritus.[9][10]

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]

References

  1. ↑ "981058766320560". Biblioteka Narodowa. Retrieved 3 October 2021.
  2. 1 2 3 4 5 "Univ.-Prof. Dr. Cornelius Greither". Retrieved 3 October 2021.
  3. ↑ Cornelius Greither at the Mathematics Genealogy Project
  4. 1 2 "Nichtreferierte Publikationen". Retrieved 3 October 2021.
  5. ↑ Greither, Cornelius (1992). "Class groups of abelian fields, and the main conjecture". Annales de l'Institut Fourier. 42 (3): 449–499. doi:10.5802/aif.1299.
  6. ↑ Washington, Lawrence C. (1997). Introduction to Cyclotomic Fields (2 ed.). Springer. p. 372.
  7. ↑ 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
  8. ↑ "Universitätsprofessur (W3) für Mathematik - Universität der Bundeswehr München - academics". web.archive.org. 2021-10-03. Retrieved 2023-12-28.
  9. ↑ "Ehemalige Mitarbeiter". Universität der Bundeswehr München (in German). Retrieved 2023-12-28.
  10. ↑ "Univ.-Prof. Dr. Andreas Nickel". Universität der Bundeswehr München (in German). Retrieved 2023-12-28.
  11. ↑ "Masaryk University, Archivum Mathematicum". emis.impa.br. Archived from the original on 2021-10-03.
  12. ↑ "NYJM Editorial Board".
  13. ↑ "Journal de Théorie des Nombres de Bordeaux".
  14. ↑ "ASMQ - Editorial Board".
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