In Spring 2002, I would be teaching the M. Sc.II year course

MA 502 Algebraic Number Theory

The new syllabus and the official list of recommended texts is as follows.

Course Contents of MA 502 Algebraic Number Theory

Credit Structure: 2 1 0 6 Prerequisites : MA 501, MA 509

Algebraic numbers and their basic properties, Algebraic number fields and rings of integers, Discriminant of a number field, Unique factorization of ideals in algebraic number fields, Class group and class number, Ramification of primes, Kummer's Theorem, Dedekind's Discriminant Theorem, Cyclotomic fields and Kronecker-Weber theorem (statement only). Introduction to class field theory.

Texts / References

J. W. Cassels, Local Fields, Cambridge University Press, 1986.

H. M. Edwards, Fermat's Last Theorem, Springer-Verlag, 1977.

A. Frohlich and M. J. Taylor, Algebraic Number Theory, Cambridge University Press, 1993.

K. Ireland and M. Rosen, A Classical Introduction to Modern Number Theory, 2nd ed., Springer-Verlag, 1990.

S. Lang, Algebraic Number Theory, Addison-Wesley, 1970.

D.A. Marcus, Number Fields, Springer-Verlag, 1977.

Apart from these, I shall refer to my Notes, which are available here.
In addition, I would be the Course Associate for two sections of

MA 104 Mathematics II

and engage the tutorials for two sections of this course.

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