ISL Differential Geometry (2014)

Venue: Banasthali Vidyapith,  Rajasthan
Dates: 8th to 20th Dec, 2014

 

Convener(s) Speakers, Syllabus and Time table Applicants/Participants

 

School Convener(s)
Name C. S. Aravinda Gauree Shanker B. Tiwari
Mailing Address Associate Professor, Department of Mathematics, TIFR- CAM,
Sharadanagar, GKVK Post, Bangalore-560065.		 Associate Professor, Department of Mathematics & Statistics,
Banasthali Vidyapith, Banasthali-304022, Rajasthan.		 Associate Professor, DST-CIMS, Faculty of Science, BHU Varanasi-
221005

 

Speakers and Syllabus 

Overview: A detailed discussion of the differential geometry of orientable surfaces culminating in the proofs of Theorema Egregium of Gauss and the Gauss-Bonnet theorem. As an introduction to some of the methods used in global Riemannian Geometry, there will also be a discussion of topics like first variation of arc length, Jacobi fields and some applications.

Topics to be covered:

  • Suhas Pandit (SP): Quick recap of multivariable calculus, Inverse function theorem and Implicit function theorem.(2 lectures.)
  • Anisa Chorwadwala (AC): Regular surfaces, differential functions on surfaces, the tangent plane and differential maps between regular surfaces; the first fundamental form. (6 lectures.)
  • M M Tripathi (MMT): Gauss map, shape operator, the second fundamental form, normal and principal curvatures, Gaussian and mean curvatures.(4 lectures.)
  • Bankteshwar Tiwari (BT): Geodesic curvature, local and global Gauss- Bonnet theorem (4 lectures.)
  • H A Gururaja (HAG): Exponential map, geodesic polar coordinates, first variation of arc length, Jacobi fields, Gauss lemma. (6 lectures.)
  • Vikram Aithal (VA): Parallel transport, geodesics, Theorema Egregium (3 lectures); surfaces of constant curvature and their classification. (4 lectures.)
  • C S Aravinda (CSA): Orientability, triangulability of orientable regular surfaces, Hopf's Umlaufsatz. (7 lectures.)              Schedule
Date 9:00-10:00 10:30-11:30 11:45-12:45 14:30-15:30 16:00-17:00
8/12/14 L1(CSA) L2(SP) L3(AC) T1 T2
9/12/14 L4(AC) L5(SP) L6(AC) T3 T4
10/12/14 L7(AC) L8(CSA) L9(AC) T5 T6
11/12/14 L10(AC) L11(CSA) L12(MMT) T7 T8
12/12/14 L13(MMT) L14(CSA) L15(MMT) T9 T10
13/12/14 L16(MMT) L17(CSA) L18(VA) - -
S U N D A Y
15/12/14 L19(VA) L20(CSA) L21(VA) T11 T12
16/12/14 L22(HAG) L23(BT) L24(CSA) T13 T14
17/12/14 L25(HAG) L26(BT) L27(VA) T15 T16
18/12/14 L28(HAG) L29(BT) L30(HAG) T17 T18
19/12/14 L31(HAG) L32(BT) L33(VA) T19 T20
20/12/14 L34(VA) L35(HAG) L36(VA) - -

Resource Persons:

  • C. S. Aravinda, TIFR- CAM, Bangalore
  • Suhas Pandit, IIT, Chennai
  • Anisa Chorwadwala, IISER, Pune
  • H. A. Gururaja, IISER, Bhopal
  • Mukut Mani Tripathi, BHU, Varanasi
  • Bankteshwar Tiwari, DST- CIMS, BHU, Varanasi
  • Vikram Aithal, Visiting fellow, TIFR- CAM, Bangalore

Course Associates:

  • S. S. Shukla, University of Allahabad
  • Gauree, Shanker, Banasthali Vidyapith, Rajasthan
  • Atreyee Bhattacharya, RKMVU, Belur

 

Selected Applicants

 

Sr. SID Full Name Gender State Affiliation Position in College / Univ.
University/ Institute M.Sc./ M.A. Year of Passing M.Sc./ M.A Ph.D. Degree Date
1 6761 Dr. Punam Gupta Female Madhya Pradesh Dr. Hari Singh Gour University Asst. Prof. Banaras Hindu University 2007 15 Mar 2012
2 6817 Dr. Shravan Kumar Pandey Male Madhya Pradesh A.P.S.UNIVERSITY, REWA (M.P.) GUEST LECTURER A.P.S.UNIVERSITY, REWA (M.P.) 2007 13 Aug 2013
3 6818 Dr. Giteshwari Pandey Female Madhya Pradesh A.P.S.UNIVERSITY, REWA (M.P.) GUEST LECTURER A.P.S.UNIVERSITY, REWA (M.P.) 2007 13 Aug 2013
4 6848 Dr. Ashok Kumar Male Jammu and Kashmir Govt. College for Women Udhampur (J&K) Assistant Professor University of Jammu 2001 27 Jul 2012
5 6870 Mr Samuel Shikaa Male -----Others Select this if not from India ----- Taraba State University Assistant Lecturer M.Sc Mathematics 2014  
6 6891 Ms. Jyoti Singh Siwach Female Gujarat THE MAHARAJA SAYAJIRAO UNIVERSITY OF BARODA, VADODARA MSc STUDENT UNIVERSITY Appeared/ Awaiting Result  
7 6936 Mr. Mahesh Pravinsinh Solanki Male Gujarat THE MAHARAJA SAYAJIRAO UNIVERSITY OF BARODA MSc STUDENT THE MAHARAJA SAYAJIRAO UNIVERSITY OF BARODA 2014  
8 6960 Ma. Ankita Rai Female Uttar Pradesh D.D.U.GORAKHPUR UNIVERSITY, GORAKHPUR RESEARCH SCHOLAR D.D.U GORAKHPUR UNIVERSITY GORAKHPUR 2010  
9 6961 Mr. Dhriti Sundar Patra Male West Bengal Jadavpur University JRF IIT Bombay 2011  
10 6983 Mrs Pramila Ramani Female Gujarat Navrachana University Assistant Professor University of Madras 1993  
11 7145 Mr. Ranadip Gangopadhyay Male West Bengal BANARAS HINDU UNIERSITY PhD Student NETAJI SUBHAS OPEN UNIVERSITY 2013  
12 7146 Mr. Pankaj Pandey Male Chhattisgarh Guru Ghasidas Vishwavidyalaya Research Scholar University of Allahabad 2009  
13 7231 Mr. Ankit Sharma Male Uttar Pradesh Gautam buddha university MSc. Student GAUTAM BUDDHA UNIVERSITY 2014  
14 7255 Mr. Abhishek Singh Male Uttar Pradesh UNIVERSITY OF LUCKNOW, LUCKNOW Ph.D. STUDENT UNIVERSITY OF LUCKNOW, LUCKNOW 2008  
15 7261 Dr. Sachin Kumar Srivastava Male Himachal Pradesh Central University of Himachal Pradesh Assistant Professor Deen Dayal Upadhyay Gorkahpur University 2002 12 Jan 2011
16 7279 Ms. Prerna Kanaujia Female Uttar Pradesh UNIVERSITY OF LUCKNOW, LUCKNOW. Ph.D. STUDENT UNIVERSITY OF LUCKNOW, LUCKNOW 2010  
17 7282 Dr Avijit Sarkar Male West Bengal University of Kalyani Assistant Professor University of Kalyani 2002 3 Feb 2010
18 7309 Dr. Shyamal Kumar Hui Male West Bengal Sidho Kanho Birsha University Assistant Professor Burdwan University 1998 17 Jun 2010
19 7335 Mr. Akhilesh Yadav Male Uttar Pradesh UNIVERSITY OF ALLAHABAD, ALLAHABAD. D. Phil. Student University of Allahabad, Allahabad. 2008  
20 7434 Mr. Shashikant Pandey Male Uttar Pradesh UNIVERSITY OF LUCKNOW, LUCKNOW Ph.D. STUDENT BANARAS HINDU UNIVERSITY, VARANASI 2010  
21 7460 Mr. Balraj Durai Samy Male Tamil Nadu Bharathidasan University PhD Bharathidasan University 2011  
22 7473 Mr. Anurag Dixit Male Uttar Pradesh Lucknow University Research Scholar C.J.M. UNIVERSITY KANPUR 2012  
23 7477 Mr. Pradip Majhi Male West Bengal University of North Bengal Assistant Professor IIT Kanpur 2011  
24 7498 Dr. Sanjeev Gupta Male Uttar Pradesh IIT Kanpur NBHM POST DOCTORAL FELLOW M.J.P. ROHILKHAND UNIVERSITY, BERAILLY 2006 23 Jun 2014
25 7530 Dr. Sujit Ghosh Male West Bengal Madanpur K. A. Vidyalaya Assistant Teacher University of Kalyani 2006 11 Feb 2013
26 7555 Mr Mohammad Shuaib Male Uttar Pradesh dapartment of mathematics, aligarh muslim university PhD Aligarh muslim university, aligarh 2006  
27 7558 Mr Mohammad Rafee Male Uttar Pradesh Shri Balwant Institute of Technology Assistant Professor Jamia Millia Islamia 2011  
28 7589 Mr. Armaan Khan Male Haryana RSM College, Jind, Haryana Asst. Prof. MDU University, Rohtak 2010  
29 7596 Mr Mobeen Ahmad Male Uttar Pradesh Aligarh Muslim University M.Phil Aligarh Muslim Universirty 2013  

 

 

Internal Candidates:

S.No SID Full Name Gender State Affiliation Position in College/ University University/ Institute M.Sc./M.A. Year of Passing M.Sc./ M.A Ph.D. Degree Date
1 6784 Dr. Praveen Kumar Gupta Male Rajasthan Banasthali University Assistant Professor D.V.College, Orai 2006 28 Nov 2011
2 6799 Dr. Geetanjali Sharma Female Rajasthan Banasthali University Assistant Professor Jiwaji University 2007 12 Oct 2012
3 6801 Ms Sruthy Asha Baby Female Rajasthan Banasthali Vidyapeeth Research Associate Mahatama Gandhi university, Kottayam 2012  
4 6879 Dr Madhuri Jain Female Rajasthan Banasthali Vidyapith Assistant Professor AGRA UNIVERSITY 2006 30 Dec 2010
5 6890 Dr. Aditya Mani Mishra Male Rajasthan Banasthali Vidhyapeeth Assistant Professor Motilal NIT, Allahabad 2010 14 May 2014
6 6984 Ms Ruchi Kaushik Female Rajasthan Banasthali Vidyapith Research Associate Banasthali University 2010  
7 7059 Mr. Ashish Kumar Sharma Male Rajasthan Banasthali Vidyapith Asst. Prof. IIT BOMBAY 2012  
8 7069 Mr. Prashant Kushwah Male Rajasthan Banasthali Vidyapith Assistant Professor Dr. Bhim Rao Ambedkar University, Agra 2006  
9 7353 Mr Ramdayal Singh Kushwaha Male Uttar Pradesh Banasthli university, Banasthli, Newai Tonk(Rajasthan)-304022 Ph.D(persuing)in mathematics, Marths teacher Indian Institute of technology Kharagpur 2010  
10 7363 Ms Kalpana Thakur Female Rajasthan Banasthali University Assistant Professor University of Delhi 2008  
11 7408 Mrs Sheela Suthar Female Rajasthan Banasthali PhD student M.D.U.Rohtak 2008  
12 7457 Ms. Vinti Dhaka Female Rajasthan Banasthali University PhD Scholar Bansthali University, M.Sc 2011  
13 7458 Dr. Usha Sharma Female Rajasthan Banasthali University Asst. Prof. University of Rajasthan 2006 11 Oct 2012
14 7474 Ms Gopika Sharma Female Rajasthan Bansthali Vidyapith RESEARCH ASSOCIATE INDIAN INSTITUTE OF TECHNOLOGY GUWAHATI 2014  
15 7503 Ms Deepti Choudhary Female Rajasthan Banasthali Vidyapith Research Scholar Banasthali Vidyapith 2012  
16 7505 Ms. Kiranta Kumari Female Rajasthan Banasthali University Banasthali University Banasthali University 2011  
17 7573 Ms. Shanu Goyal Female Rajasthan BANASTHALI UNIVERSITY ASSISTANT PROFESSOR BANSTHALI UNIVERSITY 2012  

 

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