AFS-II - Annual Foundation School - II (2021)

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 2 hours of lectures and 1 hour 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

Number of Participants: 60 participants will be selected.
Mode of Instruction: Lectures and tutorials will be conducted online on a platform such as Zoom or MS Teams. Lectures will be recorded and made available for viewing to the participants. If any participants miss a lecture or a part thereof due to internet issues, they should view its recording before attending the following lecture. Google Classroom will be used to coordinate the program, share material, and enable further discussions between participants, tutors and instructors.

Syllabus for AFS-II:

Algebra II (Rings and Modules)
Chapters 10,11 of 12 of [Artin 1] or Chapters 11 to 14 of [Artin 2]
References:  
    • [Artin 1] Michael Artin, Algebra, first edition, Pearson, 1991.
    • [Artin 2] Michael Artin, Algebra, second edition, Prentice-Hall India, 2003.

Analysis II (Measure and Integration)

Chapters 1 to 3 of [Rudin]
    • [Rudin] Walter Rudin, Real and Complex Analysis, 3rd edition, McGraw-Hill, 1974.

Topology II (Curves and Surfaces)
Chapters 1 to 11 of [Pressley], except Chapter 9.
    • [Pressley] Andrew Pressley, Elementary Differential Geometry, Springer, 2001.

Notes: Faculty Members may pick and choose, or even introduce extra topics, so as to make the program more relevant to the students who have come to participate in AFS I.

Speakers

• Algebra II (Rings and Modules)

Speaker 1: Prof. R. Thangadurai (HRI)  (8 hours) Confirmed  
Speaker 2: Prof. Bibekananda Maji (IIT Indore)  (8 hours) Confirmed
Speaker 3: Prof. Prof Ritumoni Sarma (IIT Delhi)  (8 hours) Confirmed
Associate Teachers: 1. A. Satyanarayana Reddy (SNU) 2. Neha Gupta (SNU)

• Analysis II (Measure & Integration)

Speaker 1: Prof. Jaydeb Sarkar (ISI Bangalore)  (6 hours) Confirmed  
Speaker 2: Prof. Sachi Srivastava (University of Delhi)  (6 hours) Confirmed
Speaker 3: Prof. Swagato Ray (ISI Kolkata)  (6 hours) Confirmed
Speaker 4: Prof. Tirthankara Bhattacharya (IISc, Bangalore)  (6 hours) Confirmed
Associate Teachers: 1. Niteesh Sahni (SNU) 2. Sneh Lata (SNU)

• Topology II (Curves and Surfaces)

Speaker 1: Prof. Anant Shastri (IIT Bombay)  (12 hours) Confirmed  
Speaker 2: Prof. Archana Morye (University of Hyderabad)  (6 hours) Confirmed
Speaker 3: Prof. Aprameyo Pal (HRI) (6 hours) Confirmed

Associate Teachers: 1. Samir Hazra (Visiting ISI Bangalore)
                                 2. Dr. Devendra Tiwari ( Bhaskaracharya Pratishthan)

Time Table