I am a graduate student in Mathematics at
University of Pisa. I like traveling, the mountains and riding my motorbike.
My field of interest is Algebraic Number Theory. In particular, I am interested
in the structure of the ideal class groups for cyclotomic fields, and the
K-theory of the rings of integers of an abelian number field.
Some interesting mathematical links:
Other links:
Works:
-
The parity of the class number of the cyclotomic fields of prime conductor,
Proceedings of the AMS, 125 (1997) n. 11, 3163-3168.
-
Anderson's module for cyclotomic fields of prime conductor, Journal
of Number Theory. 67, 2 (1997), 252-276.
-
Fitting ideals of class groups in a Z_p extension, submitted.
-
The 2-ideal class groups of Q(\zeta_l), submitted.
-
Fitting ideals of class groups of real fields, with Cornelius Greither,
submitted.
-
Fitting ideals for e'tale and algebraic K-gropus of number rings ,
with Paul Arne Ostvaer, in preparation.
If you want to contact me, feel free to drop me a message.
Last updated, March 18, 1998
Pietro Cornacchia
cornac@dm.unipi.it
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