Algebraic Number Theory, Arithmetic Geometry, and Algebraic Geometry Lab

AboutAbout the lab

Connecting number theory and geometry to approach L-functions.

Professor Kazuhiro Fujiwara studies arithmetic algebraic geometry, a field that spans both number theory and algebraic geometry.
The objects of study are varieties over finite fields and rings of integers. The methods tend to be abstract, but many of the results obtained can be seen concretely.
There is a remarkable phenomenon in which arithmetic properties appear as analytic properties of analytic functions called L-functions, and the lab is currently studying the connection between arithmetic varieties and L-functions.
The lab also places emphasis on establishing non-abelian class field theory, a generalization of the classical class field theory that dates back to Teiji Takagi and Artin.

MembersFaculty

• ProfessorKazuhiro Fujiwara

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