AFS-II - Annual Foundation School - II (Kolkata, 2022)

Speakers and Syllabus

The target audience are research scholars in their first or second year of Ph.D. in any university or research institute.

There will be 3 hours of lectures and 2 hours of tutorial every day from Monday to Saturday, over 6 weeks.. Sundays will be kept available for make-up sessions in case of any internet or other issues.
Applicants for AFS-II should already be familiar with the syllabus of the AFS-I schools, which is available at https://www.atmschools.org/sites/default/files/syllabus_AFS_programmes_2016.pdf

Syllabus for AFS-II to be covered (each subject 16 lectures, each lecture 1.5 hour)::

• Algebra II (Rings and Modules): Ch 10, 11, 12 of Artin's Algebra

• Analysis II (Measure and Integration): Ch 1, 2, 3 of Rudin's Real & Complex Analysis

• Topology II (Curves and Surfaces): Ch 1 through 11 of Pressley's Elem. Diff. Geometry

Names of the speakers:

• Algebra II: 

  • Dr. Md. Ali Zinna (IISER K), Dr. Swarnendu Datta (IISER K) [8 lectures each]

• Analysis II:

  • Dr. Rajib Dutta (IISER K), Dr. Arnab Jyoti Das Gupta (RKM Vidyamandira, Belur), Dr. Shirshendu Chowdhury (IISER K) [5, 6 & 5 lectures respectively]

• Topology II:

  • Dr. Subhabrata Das (Presidency University), Dr. Somnath Basu (IISER K) [8 lectures each]

Names of the tutors/course associates:

• Jebasingh R, Sandip Samanta, Mukilraj K, Manish Kumar, Habibur Rahaman, Subrata Majumder [all from IISER K] and the speakers.

Time Table

There will be 2 lectures (1.5 hours each) and 2 tutorials (1 hour each) per day, six days per week. There will be 4 lectures on each topic per week. A (tentative) schedule is as follows: