1. Linear Algebra and Group Theory

We will cover most of the material found in Chapters 6,7,8 and 9 found in Michael Artin’s Algebra, Pearson, 1991.
Speakers: Jugal Verma JKV(IIT Bombay) for Module 1, VijiThomas VT(IISER TVM) for Module 2, Sandeep Varma SV(TIFR Mumbai) for Module 3 and Saikat Chatterjee SC(IISER TVM) for Module 4.
Course Associates: Patali Komma, Sunil Pasupulati, Tony Mavely, IISER TVM PhD Students

References
1. M. Artin:Algebra, 2nd Edition, Prentice Hall of India, 2011.
2. S. Lang: Algebra, Revised 3rd Edition, Springer.
3. N. Jacobson: Basic Algebra, Vol.1 and Vol.2, Dover,2011.

2. Complex Analysis
We will cover most of the material found in Chapters 2,3 and 4 of Stein and Shakarchi’s book Complex Analysis, Princeton Lectures in Analysis-II, 2003.
Speakers: Dhanya Rajendran DR(IISER TVM) for Module 1,Shrihari Sridharan SS(IISER TVM) for module 2, Ramiz Reza RR(IISER TVM) for module 3 and 4
Course Associates: Pankaj, Soham, Patali (both IISER TVM PhD students)

References
1. Elias Stein and Rami Shakarchi: Complex Analysis, Princeton Lectures in Analysis-II, 2003i.
2. Lars Ahlfors: Complex Analysis, McGraw-Hill Education, 3rd Edition, Jan 1979.
3. W. Rudin: Real and Complex Analysis, 3rd Edition, Tata McGraw-Hill Higher Education, New Delhi, 1987.

3. Topology I
1. We will cover most of the material found in Chapters 1-7 of Simmons book listed below in the references and Quotient Spaces from Chapter 4
of Armstrong’s book listed below.
Speakers: Moosath MO (IIST) for module 1 and 3, A J Parameshwaran AP (TIFR Bombay) for module 2, Viji Thomas VT(IISER TVM) for Module 4
Course Associates: Amogh Krishnamurthy, Aakash Gupta, Sathasivam IISER TVM PhD students

References
1. M. A. Armstrong: Basic Topology, Springer.
2. G.F. Simmons: Introduction to Topology and Modern Analysis, McGraw- Hill, 1983.
3. J. R. Munkres: Topology, A First Course, Prentice-Hall of India, New Delhi, 1987.