**Other reference books:**

M. Ram Murty and Jody Esmonde, Problems in Algebraic Number Theory, Springer-Verlag Graduate Texts in Mathematics, volume 190.

Lang, Algebraic Number Theory, Springer GTM, volume 110

Ireland and Rosen, A Classical Introduction to Modern Number Theory, GTM, volume 84.
**Course Format:** There will be periodic problem
assignments and term projects involving algebraic number theory which
will investigate applications and extensions of the material.

**Topics:**

1. Number fields, lattices and rings of integers

2. Dedekind domains and their ideals and modules

3. Ideal class groups and Class number

4. Zeta functions of number fields

5. Quadratic fields and binary forms

6. Cyclotomic fields and Gauss sums

7. Diophantine problems and algebraic number theory

8. Algorithms in number theory

9. Adeles and Ideles of number fields

10.Chebotarev Density Theorem

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