Instructor:
Professor
D. P. Patil
Emails : patil@math.iisc.ernet.in

This course is open to all students/faculty who are interested in learning
the basics of Commutative Algebra. The main aim of this course is the study of commutative noetherian rings,
particularly, polynomial and power series rings with coefficients in
the ring of integers or fields, and their quotient rings.
Starting with a short recapitulation of the basic facts of Rings and
Modules (with proofs), some classical as well as modern material will
be covered. The focus of the lectures will be on motivating
examples, concepts and results which emerged from the two main
sources Algebraic Number Theory and Algebraic Geometry.
The emphasis will be given to motivate the development of important
concepts using as many examples as possible. These examples
will range from routine to fairly sophisticated theoretical ones.
Efforts will be made to keep the required prerequisites as low as
possible. However, some exposure to Linear Algebra/Algebra/Topology will be helpful.
Time Table
Day 
Time

Venue

Wednesday 
14:00  15:30

Department
of Mathematics, LH1/ LH2

Friday 
14:00  15:30

Department
of Mathematics, LH1/ LH2

