AFS-I - Annual Foundation School - I (PY, 2022)
Speakers and Syllabus
Syllabus to be covered (each subject 16 lectures, each lecture 1.5 hour):
-
Algebra I (Linear Algebra and Group Theory):
- Chapters 6, 7, 8, 9 of the book: Michael Artin, Algebra, first edition, Prentice Hall of India, 1999.
-
Analysis I (Complex Analysis):
- Chapters 2, 3, 4 of the book: Elias M. Stein and Rami Shakarchi Complex Analysis, Princeton Lectures in Analysis-II, 2003.
-
Topology I (Point-set Topology and Quotient Spaces):
- Chapters 1-7 of the book: G. F. Simmons, Introduction to Topology and Modern Analysis, McGrawHill, 1983; and Chapter 4 of the book: M. A. Armstrong, Basic Topology, Springer International Edition
| Speaker(s) with affiliaton |
Topic |
| Dr. Clare D’Cruz, CMI (4 lectures) Dr. Krishna Hanumanthu, CMI (4 lectures) Dr. Anup Dixit, IMSc (8 lectures) |
Algebra I (Linear Algebra and Group Theory) |
| Dr. Manoj Kummini, CMI (4 lectures) Dr. Purusottam Rath, CMI (4 lectures) Dr. Siddhi Pathak, CMI (8 lectures) |
Analysis I Complex Analysis |
| Dr. Manoj Kummini, CMI (4 lectures) Dr. Sanoli Gun, IMSc (4 lectures) Dr. Krishna Hanumanthu, CMI (4 lectures) Dr. I. Subramania Pillai, PU (4 lectures) |
Topology I (Point Set Topology) |
| Names of the tutors/course associates: | |
| 1. | Dr. Amlan Kanti Halder (Post Doctoral Fellow, PU) |
| 2. | Mr. Sundaresan (PhD Student, PU) |
| 3. | Mr. Murugesan (PhD Student, PU) |
| 4. | Mr. Jaish (PhD Student, PU) |
| 5. | Dr. Sagithya (Former PhD Student of PU) |
| 6. | Dr. Raja Chandra Sekhar (Guest Faculty, PU) |
| 7. | Dr. Pavithra (Former Ph.D. Student of PU) |
| 8. | Mr. Cyril Jacob (PhD Student, CMI) |
| 9. | Mr. Nirmal Kotal (PhD Student, CMI) |
| 10. | Mr. Pritthijit Biswas (PhD Student, CMI) |
| 11. | Mr. Jagadish Pine (PhD student, CMI) |
| 12. | Ms. Rashi Lunia (PhD student, IMSc) |
| 13. | Dr. Jyothsnaa Sivaraman (Post Doctoral Fellow, CMI) |
| 14. | Dr Amit Kumar Singh (Post Doctoral Fellow, CMI) |
Time Table
AFS – 1 (30th May to 25th June 2022)
LECTURE SCHEDULE
| Day and Date | Lecture-I (9:30 -11:00) |
Lecture -II (11:30-13:00) |
Tutorial-I (14:30-15:30) |
Tutorial-II (16:00-17:00) |
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| Monday 30/05/2022 |
Algebra Clare D’Cruz | T EA | Algebra Clare D’Cruz | LU NC H | Algebra TA1: Pavithra TA2: Nirmal |
T EA | Algebra TA1: Jaish TA2: Nirmal |
| Tuesday 31/05/2022 |
Algebra Clare D’Cruz | Analysis Manoj Kummini | Algebra TA1: Jaish TA2: Nirmal |
Analysis TA1: Amlan Kanti Halder TA2: Nirmal |
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| Wednesday 01/06/2022 |
Algebra Clare D’Cruz | Topology Manoj Kummini | Algebra TA1: Pavithra TA2: Nirmal |
Topology TA1 : Raja Chandrasekar TA2: Nirmal |
|||
| Thursday 02/06/2022 |
Analysis Manoj Kummini | Topology Manoj Kumminii | Analysis TA1: Amlan Kanti Halder TA2: Pritthijit |
Topology TA1: Raja Chandrasekar TA2: Pritthijit |
|||
| Friday 03/06/2022 |
Analysis Manoj Kummini | Topology Manoj Kummini | Analysis TA1: P Murugan TA2: Pritthijit |
Topology TA1: Sundaresan TA2: Pritthijit |
|||
| Saturday 04/06/2022 |
Analysis Manoj Kummini | Topology Manoj Kummini | Analysis TA1: P. Murugan TA2: Pritthijit |
Topology TA1: Sundaresan TA2: Pritthijit |
5.6.2022 - SUNDAY: HOLIDAY
| Day and Date | Lecture-I (9:30 -11:00) |
Lecture -II (11:30-13:00) |
Tutorial-I (14:30-15:30) |
Tutorial-II (16:00-17:00) |
|||
| Monday 06/06/2022 |
Algebra Krishna Hanumanthu | T E A | Analysis PurusottamRath | LUN CH | Algebra TA1: Pavithra TA2: Rashi |
TE A | Analysis TA1: Amlan Kanti Halder TA2: Jyothsnaa |
| Tuesday 07/06/2022 |
Topology Sanoli Gun | Algebra Krishna Hanumanthu | Topology TA1: Raja Chandrasekar TA2: Jyothsnaa |
Algebra TA1: Jaish TA2: Rashi |
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| Wednesday 08/06/2022 |
Analysis Purusottam Rath | Topology Sanoli Gun | Analysis TA1: P. Murugan TA2: Jyothsnaa |
Topology TA1: Raja Chandrasekar TA2: Rashi |
|||
| Thursday 09/06/2022 |
Algebra Krishna Hanumanthu | Analysis Purusottam Rath | Algebra TA1: Pavithra TA2: Rashi |
Analysis TA1: Amlan Kanti Halder TA2: Jyothsnaa |
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| Friday 10/06/2022 |
Topology Sanoli Gun | Algebra Krishna Hanumanthu | Topology TA1: Sundaresan TA2: Jyothsnaa |
Algebra TA1: Jaish TA2: Rashi |
|||
| Saturday 11/06/2022 |
Analysis PurusottamRath | Topology Sanoli Gun | Analysis TA1: P. Murugan TA2: Jyothsnaa |
Topology TA1: Sundaresan TA2: Rashi |
12.6.2022 - SUNDAY: HOLIDAY
| Day and Date | Lecture-I (9:30-11:00) |
Lecture -II (11:30-13:00) |
Tutorial-I (14:30-15:30) |
Tutorial-II (16:00-17:00) |
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| Monday 13/06/2022 |
Algebra Anup Dixit | T EA | Analysis Siddhi Pathak | LU NC H | Algebra TA1: Pavithra TA2: Amit |
T EA | Analysis TA1: Amlan Kanti Halder TA2: Cyril |
| Tuesday 14/06/2022 |
Topology Krishna Hanumanthu | Algebra Anup Dixit | Topology TA1: Raja Chandrasekar TA2: Cyril |
Algebra TA1: Jaish TA2: Amit |
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| Wednesday 15/06/2022 |
Analysis Siddhi Pathak | Topology Krishna Hanumanthu | Analysis TA1: P. Murugan TA2: Cyril |
Topology TA1: Raja Chandrasekar TA2: Amit |
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| Thursday 16/06/2022 |
Algebra Anup Dixit | Analysis Siddhi Pathak | Algebra TA1: Pavithra TA2: Amit |
Analysis TA1: Amlan Kanti Halder TA2: Cyril |
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| Friday 17/06/2022 |
Topology Krishna Hanumanthu | Algebra Anup Dixit | Topology TA1: Sundaresan TA2: Amit |
Algebra TA1: Jaish TA2: Amit |
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| Saturday 18/06/2022 |
Analysis Siddhi Pathak | Topology Krishna Hanumanthu | Analysis TA1: Murugan TA2: Cyril |
Topology TA1: Sundaresan TA2: Cyril |
19.6.2022 - SUNDAY: HOLIDAY
| Day and Date | Lecture-I (9:30-11:00) |
Lecture -II (11:30-13:00) |
Tutorial-I (14:30-15:30) |
Tutorial-II (16:00-17:00) |
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| Monday 20/06/2022 |
Algebra Anup Dixit | T E A | Analysis Siddhi Pathak | LU NC H | Algebra TA1: Pavithra TA2: Jagadish |
T E A | Analysis TA1: Amlan Kanti Halder TA2: Cyril |
| Tuesday 21/06/2022 |
Topology Subramania Pillai | Algebra Anup Dixit | Topology TA1: Raja Chandrasekar TA2: Jagadish |
Algebra TA1: Jaish TA2: Jagadish |
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| Wednesday 22/06/2022 |
Analysis Siddhi Pathak | Topology Subramania Pillai | Analysis TA1: P. Murugan TA2: Cyril |
Topology TA1: Raja Chandrasekar TA2: Cyril |
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| Thursday 23/06/2022 |
Algebra Anup Dixit | Analysis Siddhi Pathak | Algebra TA1: Pavithra TA2: Jagadish |
Analysis TA1: Amlan Kanti Halder TA2: Cyril |
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| Friday 24/06/2022 |
Topology SubramaniaPillai | Algebra Anup Dixit | Topology TA1: Sundaresan TA2: Jagadish |
Algebra TA1: Jaish TA2: Jagadish |
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| Saturday 25/06/2022 |
Analysis Siddhi Pathak | Topology SubramaniaPillai | Analysis TA1: P. Murugan TA2: Cyril |
Topology TA1: Sundaresan TA2: Cyril |