• S. A. Katre
  SAK (SPPU) for Module 1
• Mandira Mondal
  MM (IITJ) for Module 2
• Amit Kulshrestha
  AK (IISERM) for Module 3
• Anupam Singh
  AS (IISERP) for Module 4

Course Associates:

• Subhash Bhagat (IITJ)
• Pushpendra Singh(IITJ)
• Saikat Panja (IISERP) 
• Harish Kishnani(IISERM)

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.

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.

• Kiran Hiremath
  KH (IITJ) for Module 1,
• Abhishek Sarkar
  AbS(IITJ) for Module 2,
• Vivek Vijay
  VV (IITJ) for Module 3
• Diganta Borah
  DB (IISERP) for Module 4

Course Associates:

• Ratnesh Kumar Singh (IITJ)
• Ruby (IITJ)
• Rakesh Kumar (IITJ)
• Shubham Garg (IITJ)

Complex Analysis
1. 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.

References
1. Elias Stein and Rami Shakarchi: Complex Analysis, Princeton Lectures in Analysis-II, 2003.
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.

• V. V. M. S. Chandramouli
  VVMS(IITJ) for Module 1
• Puneet Sharma
  PS (IITJ) for Module 2
• Hemant Bhate
  HB (SPPU) for Module 3 and 4

Course Associates:

• Aishwaraya Goyal (IITJ)
• Rohit Kumar (IITJ)
• Tanmay (IITJ)
• Ayush Khare (IISERM)

Topology
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.

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