Convener(s)
| Name: | CV Anilkumar | Prosenjit Das | Viji Z Thomas |
| Mailing Address: | Professor, Indian Institute of Space Science and Technology (IIST), Thiruvananthapuram | Associate Professor, Indian Institute of Space Science and Technology (IIST), Thiruvanan- thapuram, | Associate Professor, Indian Institute of Science Education and Research (IISER)Thiru- vananthapuram |
| Email: | aniliist at gmail.com | prosenjit.das at gmail.com | vthomas at iisertvm.ac.in |
Dates:
Monday, June 17, 2024 - 19:00 to Saturday, July 13, 2024 - 19:00
Venue:
Venue Address:
Department of Mathematics, Indian Institute of Space Science and Technology (IIST), Thiruvananthapuram, Kerala - 695 547.
Venue State:
Venue City:
PIN:
695547
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: AA Ambily (CUSAT, Cochin) for Module 1, Prosenjit Das (IIST) for Module 2, Viji Z Thomas(IISER TVM) for Module 3, K N Raghavan (IMSc) for Module 4.
- Course Associates: Prosenjit Das (Faculty, IIST), AA Ambily (Faculty, CUSAT, Cochin) and Gayathry Pradeep(PhD student, CUSAT); two CAs at a time.
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: Jaydeb Sarkar (ISI, Bangalore) for Module 1, Sakthivel Kumarswamy (IIST) for Module 2,Samya Kumar Ray (IISER TVM) for Module 3, Ramiz Reja (IISER TVM) for Module 4.
- Course Associates: Kalpana Rawat (PhD student, IIST), Sneha B (Post-Doc, ISI Bangalore) and Ashish Kujur (PhD student, IISER Trivandrum); two CAs at a time.
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: Arpan Kabiraj (IIT Palakkad) for Module 1, Tejas Kalelkar (IISER Pune) for Module 2,Sandeep Varma (TIFR Bombay) for Module 3, A. J. Parameswaran (TIFR Bombay) for Module 4.
- Course Associates: Deblina Das (PhD Student, IIT Palakkad), Koushik Brahma (Post-Doc, CMI) and Subhankar Sau (Post-Doc, ISI Kolkata) ; two CAs at a time.
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 1
| 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 |
| 17 Jun | GT-L1 | T | FA-L1 | L | GT-T1 | T | FA-T1 |
| 18 Jun | T-L1 | T | GT-L2 | L | T-T1 | T | GT-T2 |
| 19 Jun | FA-L2 | T | T-L2 | L | FA-T2 | T | T-T2 |
| 20 Jun | GT-L3 | T | FA-L3 | L | GT-T3 | T | FA-T3 |
| 21 Jun | T-L3 | T | GT-L4 | L | T-T3 | T | GT-T4 |
| 22 Jun | FA-L4 | T | T-L4 | L | FA-T4 | T | T-T4 |
Week 2
| 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 |
| 24 Jun | GT-L5 | T | FA-L5 | L | GT-T5 | T | FA-T5 |
| 25 Jun | AT-L5 | T | GT-L6 | L | AT-T5 | T | GT-T6 |
| 26 Jun | FA-L6 | T | AT-L6 | L | FA-T6 | T | AT-T6 |
| 27 Jun | GT-L7 | T | FA-L7 | L | GT-T7 | T | FA-T7 |
| 28 Jun | AT-L7 | T | GT-L8 | L | AT-T7 | T | GT-T8 |
| 29 Jun | FA-L8 | T | AT-L8 | L | FA-T8 | T | T-T8 |
Week 3
| 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 |
| 1 Jul | GT-L9 | T | FA-L9 | L | GT-T9 | T | FA-T9 |
| 2 Jul | AT-L9 | T | GT-L10 | L | T-T9 | T | GT-T10 |
| 3 Jul | FA-L10 | T | AT-L10 | L | FA-T10 | T | T-T10 |
| 4 Jul | GT-L11 | T | FA-L11 | L | GT-T11 | T | FA-T11 |
| 5 Jul | AT-L11 | T | GT-L12 | L | T-T11 | T | GT-T12 |
| 6 Jul | FA-L12 | T | AT-L12 | L | FA-T12 | T | T-T12 |
Week 4
| 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 |
| 8 Jul | GT-L13 | T | FA-L13 | L | GT-T13 | T | FA-T13 |
| 9 Jul | AT-L13 | T | GT-L14 | L | T-T13 | T | GT-T14 |
| 10 Jul | FA-L14 | T | AT-L14 | L | FA-T14 | T | T-T14 |
| 11 Jul | GT-L15 | T | FA-L15 | L | GT-T15 | T | FA-T15 |
| 12 Jul | AT-L15 | T | GT-L16 | L | T-T15 | T | GT-T16 |
| 13 Jul | FA-L16 | T | AT-L16 | L | FA-T16 | T | T-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 + Prosenjit Das and Gayathry Pradeep GT-T5 – GT-T8: Speaker + AA Ambily and Gayathry Pradeep GT-T9 – GT-T12: Speaker + Prosenjit Das and Gayathry Pradeep GT-T13 – GT-T16: Speaker + Prosenjit Das and Gayathry Pradeep |
| • Functional Analysis Tutorials: FA-T1 – FA-T4: Speaker + Kalpana Rawat and Sneha B FA-T5 – FA-T8: Speaker + Kalpana Rawat and Sneha B FA-T9 – FA-T12: Speaker + Kalpana Rawat and Ashish Kujur FA-T13 – FA-T16: Speaker+ Kalpana Rawat and Ashish Kujur |
| • Algebraic Topology Tutorials: AT-T1 – AT-T4: Speaker + Deblina Das and Subhankar Sau AT-T5 – AT-T8: Speaker + Deblina Das and Subhankar Sau AT-T9 – AT-T12: Speaker + Deblina Das and Koushik Brahma AT-T13 – AT-T16: Speaker + Deblina Das and Koushik Brahma |
Selected Applicants:
The selected candidates will get additional instructions from the organizers.
| Sr.n | SID | Full Name | Gender | Affiliation | Position in College/University | University/Institute M.Sc./M.A. | Year of Passing M.Sc./M.A | Ph.D. Degree Date |
| 1 | 55262 | Ms. Aanchal Aanchal | Female | Banasthali Vidyapith | PhD | Banasthali Vidyapith | 2023 | |
| 2 | 55284 | Ms. Sayanti Mallick | Female | INDIAN INSTITUTE OF TECHNOLOGY BOMBAY | MSc | IIT BOMBAY | Appeared | |
| 3 | 55454 | Ms. Pooja Prakash Jadhav | Female | Savitribai Phule Pune University | Ph.D. Student | Savitribai Phule Pune University | 2021 | |
| 4 | 55456 | Mr. Randhir Singh | Male | Savitribai Phule Pune University | Ph.D. Student | Department of Mathematics Savitribai Phule Pune University | 2021 | |
| 5 | 55464 | Ms Aswathi K S | Female | National Institute of Technology Calicut | Ph.D. | University of Calicut | 2021 | |
| 6 | 55465 | Ms Dinila V K | Female | National Institute of Technology Calicut | Ph D | ST.JOSEPH'S COLLEGE, DEVAGIRI | 2019 | |
| 7 | 55492 | Mr. Akash Meher | Male | Sambalpur University | PhD | Sambalpur University | 2019 | |
| 8 | 55499 | Mr. Adeep Varghese | Male | BITS Pilani, K K Birla Goa Campus | Ph. D. | Department of Mathematics, University of Calicut, Kerala | 2020 | |
| 9 | 55663 | Ms Dipanwita Mandal | Female | IIT Tirupati | PhD Student | IIT Tirupati | 2022 | |
| 10 | 55775 | Ms Varshini S | Female | Indian Institute of Science Education and Research | Integrated PhD student | Indian Institute of Science Education and Research | ||
| 11 | 55960 | Mr. Rashmi Ranjan Sahoo | Male | Fakir Mohan University | PhD | University of Hyderabad | 2019 | |
| 12 | 56014 | Mr Amit Kumar | Male | National Institute of Technology Raipur | PhD | Kurukshetra University | 2019 | |
| 13 | 56133 | Mr Vishvajeet Mahendra Rai | Male | Indian Institute of Technology Bombay | MSc Student | IIT Bombay | ||
| 14 | 56208 | Ms. Vijaya Dharshini T | Female | Sri G. V. G. Visalakshi college for women | M. Sc Student | Sri GVG Visalakshi college for women | Appeared | |
| 15 | 56234 | Mr. Dipon Kumar Mondal | Male | IIT Bhubaneswar | PhD | University of Hyderabad | 2021 | |
| 16 | 56354 | Ms. Anitha A | Female | Sri Gvg visalakshi college for women Udumalpet/ M.sc mathematics | M.Sc student / Bharathiyar university | |||
| 17 | 56371 | Mr. A Guru Charan | Male | Birla Institute of Technology and Science, Pilani – Hyderabad Campus | PhD | Ramanujan Institute for Advanced Study in Mathematics (University of Madras) | 2023 | |
| 18 | 56421 | Ms Rinkiny Ghatak | Female | Indian Statistical Institute | BMath student | |||
| 19 | 56604 | Mr Sugilesh H | Male | Cochin University of Science and Technology | PhD | Cochin University of Science and Technology | 2020 | |
| 20 | 56666 | Mr. Lovepreet Singh | Male | Indian Institute of Technology Patna | PhD | Indian Institute of Technology Patna | 2023 | |
| 21 | 56768 | Mr. Shivam Baranwal | Male | Indian Institute of Technology Bombay | MSc Student | Indian Institute of Technology Bombay | Appeared | |
| 22 | 56858 | Mr Sushruta Ghosh | Male | Shiv Nadar University | PhD Student | University of Hyderabad | 2020 | |
| 23 | 56959 | Mr. Akash Trivedi | Male | INDIAN INSTITUTE OF TECHNOLOGY BOMBAY | MSc Student | IIT BOMBAY | ||
| 24 | 56997 | Ms. Khushboo Jain | Female | IIT GANDHINAGAR | MSc student | IIT GANDHINAGAR | Appeared | |
| 25 | 56999 | Ms Anjali Mohanan | Female | Amrita Vishwa Vidyapeetham | PhD | PSGR Krishnammal College for Women, Bharathiar University | 2017 | |
| 26 | 57006 | Ms. Nidhi Jha | Female | IIT MADRAS | MSc Student | IIT MADRAS | 2024 | |
| 27 | 57076 | Mr. Tikesh Verma | Male | National Institute of Technology Raipur | PhD student | Pt. Ravishankar shukla university Raipur | 2022 | |
| 28 | 57096 | Ms Priyanshu Ranjan Rai | Female | Indian Institute of Technology (BHU), Varanasi | Phd | Indian Institute of Technology Ropar, Rupnagar, Punjab | 2021 | |
| 29 | 57142 | Mr Anirban Mondal | Male | Shiv Nadar University | PhD Student | University of Hyderabad | 2023 | |
| 30 | 57148 | Mr. Rudrapratap Rajpoot | Male | IIT(BHU) VARANASI | PhD Student | Dr. Hari Singh Gour Central University, Sagar,M.P. | 2022 | |
| 31 | 57211 | Mr. Uttam Kumar Dolai | Male | Indian Institute of Technology Indore | MSc Student | Indian Institute of Technology Indore | 2024 | |
| 32 | 57226 | Mr. Rajat Kumar | Male | INDIAN INSTITUTE OF TECHNOLOGY TIRUPATI | PhD | IIT TIRUPATI | 2021 | |
| 33 | 57275 | Mr. Harikrishnan T R | Male | Cochin University of Science and Technology | Project Associate 1 | Cochin University of Science and Technology | 2023 | |
| 34 | 57317 | Mr Abdu Rahman | Male | KERALA SCHOOL OF MATHEMATICS | MSC STUDENT | KERALA SCHOOL OF MATHEMATICS | Appeared | |
| 35 | 57351 | Ms. Anuvinda J | Female | SRM University-AP | PhD scholar | Mahatma Gandhi University- Kottayam | 2020 | |
| 36 | 57405 | Ms Jashoda Kumari | Female | IIT Ropar | PhD | National Institute of Technology warangal | 2021 | |
| 37 | 57406 | Mr. Nikhil Nagaria | Male | Indian Statistical Institute | Student | |||
| 38 | 57487 | Ms. Divya Meena | Female | IIT Bombay | MSc Student | IIT Bombay | ||
| 39 | 57520 | Mr. Ritesh Kumar Bhagat | Male | Indian Institute of Technology Ropar | PhD | University of Allahabad | 2021 | |
| 40 | 57532 | Mr. Granthik Bose | Male | IIT (BHU) Varanasi | PhD Student | Jadavpur University | 2022 | |
| 41 | 57544 | Mr. Deepak Bhatt | Male | IIT Ropar | PhD | IIT Bhubaneswar | 2022 | |
| 42 | 57566 | Mr Surendar P | Male | IIT Gandhi Nagar | MSc Student | IIT Gandhi Nagar | Appeared | |
| 43 | 57571 | Ms Seema Antil | Female | IIT ropar | PHD | Punjab university | 2020 | |
| 44 | 57587 | Mr Saptarshi Dandapat | Male | Nagoya University | PhD | IISER Pune | 2024 | |
| 45 | 57601 | Mr. Sunil Kumar Mallick | Male | IIT Tirupati | PhD | NIT Rourkela | 2023 | |
| 46 | 57602 | Mr. Rohan Bajaj | Male | Indian Institute of Technology , Bombay | MSc Student | IIT BOMBAY | ||
| 47 | 57632 | Mr Daksh Dheer | Male | IISER Thiruvananthapuram | MSc Student | IISER Thiruvananthapuram | ||
| 48 | 57649 | Ms. Nivedita R | Female | KSCSTE-KERALA SCHOOL OF MATHEMATICS | Integrated MSc PhD student | Kerala School of Mathematics | Appeared |
How to Reach:
TBA
School Short Name:
afs-iii-tvm
Last Date Application:
Monday, August 15, 2022
School Type:
AFS-III
Separate faculty form:
0