AFS-I - Annual Foundation School - I (TVM,2022)
Speakers and Syllabus
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.
Time Table
| Date | 9.30-11.00 | 11.00-11.30 | 11.30-1.00 | 1.00-2.30 | 2.30-3.30 | 3.30-4.00 | 4.00-5.00 |
| 30May | GT1 JKV | T | CA1 DR | L | TGT1 | T | TCA1 |
| 31May | T1 MO | T | GT2 JKV | L | TT1 | T | TGT2 |
| 1June | CA2 DR | T | T2 MO | L | TCA2 | T | TT2 |
| 2June | GT3 JKV | T | CA3 DR | L | TGT3 | T | TCA3 |
| 3June | T3 MO | T | GT4 JKV | L | TT3 | T | TGT4 |
| 4June | CA4 DR | T | T4 MO | L | TCA4 | T | TT4 |
Week Two
| Date | 9.30-11.00 | 11.00-11.30 | 11.30-1.00 | 1.00-2.30 | 2.30-3.30 | 3.30-4.00 | 4.00-5.00 |
| 6June | GT5 VT | T | CA5 SS | L | TGT5 | T | TCA5 |
| 7June | T5 AP | T | GT6 VT | L | TT5 | T | TGT6 |
| 8June | CA6 SS | T | T6 AP | L | TCA6 | T | TT6 |
| 9June | GT7 VT | T | CA7 SS | L | TGT7 | T | TCA7 |
| 10June | T7 AP | T | GT8 VT | L | TT7 | T | TGT8 |
| 11June | CA8 SS | T | T8 AP | L | TCA8 | T | TT8 |
Week Three
| Date | 9.30-11.00 | 11.00-11.30 | 11.30-1.00 | 1.00-2.30 | 2.30-3.30 | 3.30-4.00 | 4.00-5.00 |
| 13June | GT9 SV | T | CA9 RR | L | TGT9 | T | TCA9 |
| 14June | T9 MO | T | GT10 SV | L | TT9 | T | TGT10 |
| 15June | CA10 RR | T | T10 MO | L | TCA10 | T | TT10 |
| 16June | GT11 SV | T | CA11 RR | L | TGT11 | T | TCA11 |
| 17June | T11 MO | T | GT12 SV | L | TT11 | T | TGT12 |
| 18June | CA12 RR | T | T12 MO | L | TCA12 | T | TT12 |
Week Four
| Date | 9.30-11.00 | 11.00-11.30 | 11.30-1.00 | 1.00-2.30 | 2.30-3.30 | 3.30-4.00 | 4.00-5.00 |
| 20June | GT13 SC | T | CA13 RR | L | TGT13 | T | TCA13 |
| 21June | T13 VT | T | GT14 SC | L | TT13 | T | TGT14 |
| 22June | CA14 RR | T | T14 VT | L | TCA14 | T | TT14 |
| 23June | GT15 SC | T | CA15 RR | L | TGT15 | T | TCA15 |
| 24June | T15 VT | T | GT16 SC | L | TT15 | T | TGT16 |
| 25June | CA16 RR | T | T16 VT | L | TCA16 | T | TT16 |
- GTn : nth lecture in Group theory
- TGTn: nth tutorial in Group theory
- CAn : nth lecture in Real analysis
- TCAn: nth tutorial in Real analysis
- Tn : nth lecture in Topology
- TTn: nth tutorial in Topology
- T : Tea
- L : Lunch
- TGT: GT1: P. Komma and Tony. M, GT2: P. Komma and Tony. M,GT3: P. Komma, Tony M, GT4: P. Komma, Tony M. GT5: P. Komma and Sathasivam, GT6: P. Komma and Sathasivam, GT7: P. Komma and Sathasivam, GT8: P. Komma and Sathasivam. GT9: Sunil P and Tony.M, GT10: Sunil P and Tony M, GT11: Sunil P and Tony M, GT12: Sunil P and Tony M. GT13: Sunil and Tony M, GT14: Sunil and Tony M,GT15: Sunil and Tony M, GT16: Sunil and Tony M
- TCA: TCA1: P. Komma and Soham, TCA2: P. Komma and Soham,TCA3: P. Komma and Soham, TCA4: P. Komma and Soham, TCA5-TCA16: Soham and Pankaj.
- TT: TT1-TT8: Amogh and Aakash Gupta and , TT9-TT16: Sathasivam and Aakash Gupta