Convener(s)
| Name: | Prof. D. C. Sharma | Prof. Ram Prakash Sharma | Prof. Anant R. Shastri | Dr. Umesh K V Dubey |
| Mailing Address: | Professor and Dean School of Mathematics, Statistics, Computational Sciences Central University of Rajasthan NH-8, Bandar Sindri, Kishangarh, Dist.-Ajmer-305817 Rajasthan(India) |
Professor, Department of Mathematics JECRC University, Jaipur-303905 |
(Emeritus Fellow) Department of Mathematics, I.I.T. Bombay, Powai, Mumbai 4000 76. |
Asst. Prof. 'E',HRI, Allahabad - 211 019, UP |
| Email: | dcsharma at curaj.ac.in | rp.sharma at jecrcu.edu.in | anant.shastri at gmail.com | umeshdubey at hri.res.in |
AFS programs are targeted at fresh Ph. D. students in research institutions and universities in the country. In the selection of AFS-I, preference will be given to those who hold some national scholarships such as NBHM, UGC, CSIR, GATE etc. In the selection of AFS -II and AFS-III, preference will be given to those who have attended AFS-I satisfactorily. Before recommending a candidate who have not attended AFS-I, their supervisors should make sure that the candidate is conversant with the material covered in AFS-I.
Please note that participants have to bear the travel cost on their own. Only lodging and boarding will be covered by the organizers. After making the on-line registration, they are advised to book their train ticket well in advance, in order to avoid disappointment due to non-availability of the same.
Dates:
Venue:
Venue Address:
Central University of Rajasthan
NH-8, Bandar Sindri, Kishangarh, Dist.-Ajmer
Venue State:
Venue City:
PIN:
Chrono Order:
Syllabus:
Syllabus to be covered in terms of modules of 6 lectures each :
|
Name of the Speakers with their affiliation, who will cover each module of 6 lectures. |
No. of Lectures Of 1.5 hour duration each |
Detailed Syllabus |
|
Parvati Shastri (PS) , Retd. Mumbai University |
4 |
Rings and Modules -I [Artin] Chapter 11 (II edition) |
|
Chandan S. Dalawat (CD), HRI, Allahabad |
4 |
Rings and Modules -II [Artin] Chapter 12 (II edition) |
|
Indranath Sengupta (IS), IIT, Gandhinagar |
4 |
Rings and Modules -III [Artin] Chapter 13 (II edition) |
|
Dinesh Khurana (DK), Punjab University |
4 |
Rings and Modules -IV [Artin] Chapter 14 (II edition) |
|
Anant Shastri (AS), IIT, Bombay |
4 |
Introduction to Curves and Surfaces -I [Pressley] Chapter 1 – 3 Also, recall some Multivariable calculus) |
|
Chanchal Kumar (CK), IISER, Mohali |
4 |
Introduction to Curves and Surfaces -II [Pressley] Chapter 4 - 6 |
|
Vivek M. Mallick (VM), IISER, Pune |
4 |
Introduction to Curves and Surfaces -III [Pressley] Chapter 6 - 8 |
|
Umesh K. V. Dubey (UD), HRI, Allahabad |
4 |
Introduction to Curves and Surfaces -IV [Pressley] Chapter 10 - 11 |
|
D. Surya Ramana (SR), HRI, Allahabad |
4 |
Measure and Integration -I [Rudin] Chapter 1 |
|
Archana Morye (AM), HCU, Hyderabad |
4 |
Measure and Integration -II [Rudin] Chapter 1 - 2 |
|
Indrani Rao (IR), Flame University, Pune |
4 |
Measure and Integration -III [Rudin] Chapter 2 - 3 |
|
Bipul Saurabh (BS), IIT, Gandhinagar |
4 |
Measure and Integration -IV [Rudin] Chapter 3 - 4 |
References:
- (Algebra Textbook) M. Artin, Algebra, Second Edition, Prentice Hall of India, 2011. (Chapters 11,12,13, and14)
- N. Jacobson, Basic Algebra Volume 1, Second Edition, Dover Publications, 2009.
- Joseph A. Gallian, Contemporary Abstract Algebra, Narosa Publishing House, New Delhi.
- (Analysis Textbook) Real and Complex Analysis, W. Rudin (Chapters 1,2 and 3).
- I. K. Rana, Introduction to Measure and Integration, II edition, Narosa Publishing House, New Delhi.
- Royden H. L. Real Analysis, III edition, Macmillan, New York, 1963.
- (Textbook Topology) A. Pressley, Elementary Differential Geometry (II edition), Springer.
- Helgason, S. Differential Geometry, Lie Groups and Symmetric Spaces. Academic Press.
- M. P. Do Carmo, Differential Geometry of Curves and surfaces. Prentice Hall, 1976.
- A. R. Shastri, Elements of Differential Topology, CRC Press, Taylor and Francis Group, Boca Raton, 2011.
Names of the tutors / course associate with their affiliation :
| Sr | Tutor | Affiliation |
| 1 | Om Prakash (OMP) | JECRC University, Jaipur |
| 2 | Dr. Satyaranjan Mishra (SAM) | Associate Professor Department of Mathematics Siksha O Anusandhan Deemed to be University, ITER Khandagiri Square, Bhubaneswar- |
| 3 | S. Manikandan (SMA) |
Harish-Chandra Research Institute, Allahabad |
| 4 | Pradeep Das (PDA) | Harish-Chandra Research Institute, Allahabad |
| 5 | Anoop Singh (ANS) | Harish-Chandra Research Institute, Allahabad |
Time Table:
Tentative time-table mentioning the names of speakers :
|
Day |
Date |
Lecture 1 |
Tea |
Lecture 2 |
Lunch |
Tutorial |
Snacks |
|
|
|
(9.30–11.00) |
(11.00–11.30) |
(11.30–1.00) |
(1.00–2.30) |
3.30-530 |
5.30–6-00 |
|
|
|
(name of the speaker) |
|
(name of the speaker) |
|
(subject) and name of the tutors |
|
|
Mon |
3/12 |
SR |
|
PS |
|
(an) SR/ANS/AS |
|
|
|
|
|
|
|
|
|
|
|
Tues |
4/12 |
AS |
|
SR |
|
(al) PS/SMA/AS |
|
|
|
|
|
|
|
|
|
|
|
Wed |
5/12 |
PS |
|
AS |
|
(top)AS/PDA/ANS |
|
|
|
|
|
|
|
|
|
|
|
Thu |
6/12 |
SR |
|
PS |
|
(an) SR/ANS/AS |
|
|
|
|
|
|
|
|
|
|
|
Fri |
7/12 |
AS |
|
SR |
|
(al) PS/SMA/AS |
|
|
|
|
|
|
|
|
|
|
|
Sat |
8/12 |
PS |
|
AS |
|
(top) AS/PDA/AS |
|
|
|
|
|
|
|
|
|
|
|
Mon |
10/12 |
CD |
|
AM |
|
(al) CD/SMA/SAM |
|
|
|
|
|
|
|
|
|
|
|
Tue |
11/12 |
CK |
|
CD |
|
(an) AM/ANS/OMP |
|
|
|
|
|
|
|
|
|
|
|
Wed |
12/12 |
AM |
|
CK |
|
(top) CK/PDA/ANS |
|
|
|
|
|
|
|
|
|
|
|
Thu |
13/12 |
CD |
|
AM |
|
(al) CD/SMA/SAM |
|
|
|
|
|
|
|
|
|
|
|
Fri |
14/12 |
CK |
|
CD |
|
(an) AM/ANS/OMP |
|
|
|
|
|
|
|
|
|
|
|
Sat |
15/12 |
AM |
|
CK |
|
(top) CK/PDA/ANS |
|
|
|
|
|
|
|
|
|
|
|
Mon |
17/12 |
IS |
|
IR |
|
(al) IS/ SMA/UD |
|
|
|
|
|
|
|
|
|
|
|
Tue |
18/12 |
VM |
|
IS |
|
(an) IR/ANS/OMP |
|
|
|
|
|
|
|
|
|
|
|
Wed |
19/12 |
IR |
|
VM |
|
(top)VM/PDA/ANS |
|
|
|
|
|
|
|
|
|
|
|
Thu |
20/12 |
IS |
|
IR |
|
(al) IS/SMA/UD |
|
|
|
|
|
|
|
|
|
|
|
Fri |
21/12 |
VM |
|
IS |
|
(an) IR /ANS/OMP |
|
|
|
|
|
|
|
|
|
|
|
Sat |
22/12 |
IR |
|
VM |
|
(top)VM/PDA/ANS |
|
|
|
|
|
|
|
|
|
|
|
Mon |
24/12 |
DK |
|
BS |
|
(al) DK/SMA/PDA |
|
|
|
|
|
|
|
|
|
|
|
Tue |
25/12 |
UD |
|
DK |
|
(an)BS/ANS/OMP |
|
|
|
|
|
|
|
|
|
|
|
Wed |
26/12 |
BS |
|
UD |
|
(top)UD/PDA/ANS |
|
|
|
|
|
|
|
|
|
|
|
Thu |
27/12 |
DK |
|
BS |
|
(al) DK/SMA/ANS |
|
|
|
|
|
|
|
|
|
|
|
Fri |
28/12 |
UD |
|
DK |
|
(an) BS/ANS/OMP |
|
|
|
|
|
|
|
|
|
|
|
Sat |
29/12 |
BS |
|
UD |
|
(top) UD/PDA/ANS |
|
|
|
|
|
|
|
|
|
Selected Applicants:
- There are two lists:
(a)Selected
(b)Wait listed
The two lists will be merged into a single list after after 15th October - The capacity at Ajmer centre is 40.
- The selection is subject to of the following formalities and is on a first -come-first -served basis.
- Send confirmation of your participation to anant.shastri@gmail.com along with a scanned copy of your forward journey train ticket (wherever applicable).
- Hard copy of the registration form to the organizer Prof. D. C. Sharma at Ajmer.
- The selection status will appear on the webpage and will be updated from time to time. Do not send email inquiries on this matter.
- Even the wait-listed candidates are advices to book their ticket immediately so as not to be disappointed afterwards for not getting tickets. However, their confirmation will start appearing only after 30 September subject to availability of seats.
- After sending your confirmation, if you decide to drop out for any reason, PLEASE inform the organisers immediately so that another candidate may get a chance.
- Please do not forget to write your SID number with each communication.
- Keep checking the website (selection status) from time to time for any further instructions.
How to Reach:
TBA