AFS-III - Annual Foundation School - III (2025) Krea
Speakers and Syllabus
Field and Galois Theory
We will cover most of the material found in Chapters 15 and 16 found in Michael Artin’s Algebra, Pearson, 1991.
- Speakers: K N Raghavan (Krea University, Sri City) for Module 1, K N Raghavan (Krea University, Sri City) for Module 2, Rishi Vyas (Krea University, Sri City) for Module 3, C.P. Anil Kumar (Krea University, Sri City) for Module 4.
- Course Associates: Manika Gupta (IMSc),Sadhanandh Vishwanath B (CMI),TV Ratheesh (IMSc),Velmurugan S (IMSc)
References
- M. Artin:Algebra, 2nd Edition, Prentice Hall of India, 2011.
- S. Lang: Algebra, Revised 3rd Edition, Springer.
- N. Jacobson: Basic Algebra, Vol.1 and Vol.2, Dover, 2011.
Functional Analysis
We will cover most of the material found in Chapters 8,9, 10 and 11 of Simmons book Introduction to Topology and Modern Analysis.
- Speakers: Arghya Mondal (IISER Mohali) for Module 1, Vivek Tewary (Krea University, Sri City) for Module 2, Vivek Tewary (Krea University, Sri City) for Module 3, Debangana Mukherjee (Krea University, Sri City) for Module 4.
- Course Associates: Namitha CH (IMSc),Debraj Kar (University of Kalyani),Deepak Kumar Mahanta (IIT Jodhpur)
References
- G. F. Simmons: Introduction to Topology and Modern Analysis,
- John B. Conway: A course in Functional Analysis;
- Elias Stein and Rami Shakarchi: Functional Analysis: Introduction to further topics in analysis
Topology III
We will cover most of the material found in Chapters 9 and 13 of Munkres’s Topology book and Chapters 3 and 4 of Spanier’s book.
- Speakers: T.V.H. Prathamesh (Krea University, Sri City) for Module 1, Gangotryi Sorcar (Krea University, Sri City) for Module 2, Soumya Dey (Krea University, Sri City) for Module 3, Soumya Dey (Krea University, Sri City) for Module 4.
- Course Associates: Deblina Das (IIT Palakkad),Souvik Mandal (IIT Madras),Rajesh Dey (IISER Bhopal),Dr Tanushree Shah (CMI)
References
- E. H. Spanier: Algebraic Topology, Springer.
- M. J. Greenberg and J. R. Harper: Algebraic Topology: A first course.
- J. R. Munkres: Topology, A First Course, Prentice-Hall of India, New Delhi, 1987.
Time Table
Week - One
| 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 |
| 09 Jun | GT-L1 | T | FA-L1 | L | GT-T1 | T | FA-T1 |
| 10 Jun | AT-L1 | T | GT-L2 | L | AT-T1 | T | GT-T2 |
| 11 Jun | FA-L2 | T | AT-L2 | L | FA-T2 | T | AT-T2 |
| 12 Jun | GT-L3 | T | FA-L3 | L | GT-T3 | T | FA-T3 |
| 13 Jun | AT-L3 | T | GT-L4 | L | AT-T3 | T | GT-T4 |
| 14 Jun | FA-L4 | T | AT-L4 | L | FA-T4 | T | AT-T4 |
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 |
| 16 Jun | GT-L5 | T | FA-L5 | L | GT-T5 | T | FA-T5 |
| 17 Jun | AT-L5 | T | GT-L6 | L | AT-T5 | T | GT-T6 |
| 18 Jun | FA-L6 | T | AT-L6 | L | FA-T6 | T | AT-T6 |
| 19 Jun | GT-L7 | T | FA-L7 | L | GT-T7 | T | FA-T7 |
| 20 Jun | AT-L7 | T | GT-L8 | L | AT-T7 | T | GT-T8 |
| 21 Jun | FA-L8 | T | AT-L8 | L | FA-T8 | T | AT-T8 |
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 |
| 23 Jun | GT-L9 | T | FA-L9 | L | GT-T9 | T | FA-T9 |
| 24 Jun | AT-L9 | T | GT-L10 | L | AT-T9 | T | GT-T10 |
| 25 Jun | FA-L10 | T | AT-L10 | L | FA-T10 | T | AT-T10 |
| 26 Jun | GT-L11 | T | FA-L11 | L | GT-T11 | T | FA-T11 |
| 27 Jun | AT-L11 | T | GT-L12 | L | AT-T11 | T | GT-T12 |
| 28 Jun | FA-L12 | T | AT-L12 | L | FA-T12 | T | AT-T12 |
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 |
| 30 Jun | GT-L13 | T | FA-L13 | L | GT-T13 | T | FA-T13 |
| 01 Jul | AT-L13 | T | GT-L14 | L | AT-T13 | T | GT-T14 |
| 02 Jul | FA-L14 | T | AT-L14 | L | FA-T14 | T | AT-T14 |
| 03 Jul | GT-L15 | T | FA-L15 | L | GT-T15 | T | FA-T15 |
| 04 Jul | AT-L15 | T | GT-L16 | L | AT-T15 | T | GT-T16 |
| 05 Jul | FA-L16 | T | AT-L16 | L | FA-T16 | T | AT-T16 |
• GT-Ln : nth lecture in Galois Theory
• GT-Tn: nth tutorial in Galois Theory
• FA-Ln : nth lecture in Functional Analysis
• FA-Tn: nth tutorial in Functional Analysis
• AT-Ln : nth lecture in Algebraic Topology
• AT-Tn: nth tutorial in Algebraic Topology
• T : Tea
• L : Lunch
Galois Theory Tutorials :
GT-T1 – GT-T4: Speaker + TBD
GT-T5 – GT-T8: Speaker + TBD
GT-T9 – GT-T12: Speaker + TBD
GT-T13 – GT-T16: Speaker + TBD
Functional Analysis Tutorials:
FA-T1 – FA-T4: Speaker + TBD
FA-T5 – FA-T8: Speaker + TBD
FA-T9 – FA-T12: Speaker + TBD
FA-T13 – FA-T16: Speaker+ TBD
Algebraic Topology Tutorials:
AT-T1 – AT-T4: Speaker + TBD
AT-T5 – AT-T8: Speaker + TBD
AT-T9 – AT-T12: Speaker + TBD
AT-T13 – AT-T16: Speaker + TBD