Lectures

For details, see Japanese page.

Kyoto University, Department of Mathematics, 2011

• Fall semester : "Algebra II", for third-year students (or more) --- I will give lectures on Galois theory.

Kyoto University, Department of Mathematics, 2010

• Full-year : "Linear Algebra A & B", for students in the Faculty of Science,
• Fall semester : "Number Theory I", for fourth-year & graduate students --- I don't yet decide what I will teach. Probably I will talk on some topics from arithmetic geometry (e.g. etale cohomology, Shimura varieties...).
• Full-year : "Algebra Seminar for 4th year students (Daisu-gaku Kokyu)", textbook : A. Weil, "Basic Number Theory", (Springer Classics in Mathematics), Springer-Verlag, 1995, Hartshorne "Algebraic Geometry", SGA1,...

Kyoto University, Department of Mathematics, 2009

• Full-year : "Linear Algebra A & B", for students in the Faculty of Science,
• Summer semester (first half) : "Development from Basic Mathematics A", for students in the Faculty of Science, --- I plan to explain the arithmetic of elliptic curves.
• Full-year : "Algebra Seminar for 4th year students (Daisu-gaku Kokyu)", textbook : A. Weil, "Basic Number Theory", (Springer Classics in Mathematics), Springer-Verlag, 1995.

Kyoto University, Department of Mathematics, 2008

• Fall semester : "Algebra Seminar for 3rd year students (Daisu-gaku Engi II)", Textbook : J. Neukirch, "Algebraic Number Theory", (Grundlehren Der Mathematischen Wissenschaften), Springer-Verlag, 1999 (English version).
• Fall semester : "Number Theory I", for fourth-year & graduate students --- I explained basics on non-abelian class field theory (e.g. Galois representations, Langlands correspondences, etc.)�D