ISL Topology and Geometry (2013)

Venue:	HRI, Allahabad
Dates:	16th to 28th December 2013

Convener(s)

Speakers, Syllabus and Time table

Applicants/Participants

School Convener(s)
Name	Dr. Rukmini Dey	Prof. Satya Deo	Dr. R. Thangadurai
Mailing Address	Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad – 211019	Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad – 211019	Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad – 211019

Speakers and Syllabus

Speaker	Lectures	Detailed Syllabus
Ramji Lal, IIIT Allahabad, Rttd.	6	Differential Geometry 1. Review Of Calculus Of Several Variables And Linear Algebra. 2. Curves And Isoperimetric Inequality. 3. Surfaces, Gauss Map, Principle Curvatures And Gauss Bonnet Theorem. 4. A Visit To Hyperbolic Geometry References: Elements Of Differential Geometry By A. Pressley
S. Deo, HRI Allahabad, Honorary Visiting Professor	6	Topology 1. Review of Point set Topology: like quotient topology, compactness, connectedness 2. Simplicial Homology Theory, Brower’s Fixe Point Theorem, Leftschetz Fixed Point TheoremBorsuk-Ulam Theorem References: 1. Basic Topology by Armstrong. 2. Algebraic Topology, a Primer by S Deo.
Ashish Upadhyaya, Associate Professor, IIT Patna		Topology Fundamental Groups and Covering Spaces: Examples, Lifting Path Homotopies, covering transformation, connection between fundamental group and covering spaces, universal covering space, Van Kampen Theorem. References : Algebraic Topology, a Primer by S Deo
Rama Mishra, Associate Professor, IISER Pune		Knots and Links Definitions of Knots and Links, Operations on Knots, Braids, Alexander and Markov’s Theorems, Kauffman bracket, Jones polynomial, Fundamental group of knot complement, HOMFLYPT polynomial, Knots and 3-manifolds. References: An introduction to Knot Theory by R. Lickorish
Mahuya Datta, Associate Professor, ISI Kolkata	6	Morse Theory 1. Morse Function, The Morse Lemma 2. Handle-body decomposition of Manifolds 3. Morse Inequalities 4. Oscillatory Integrals Reference: Morse Theory by J. Milnor
Kuntal Banerjee, Post Doc., HRI, Allahabad.	4 Guest Lectures	Dynamics of Circle Homeomorphisms

Tutors :

Sr.	Topic	Speaker
1	Topology	Jitendra Maitra, Reader, R. D. University, Jabalpur
2	Differential Geometry	Satya Prakash Tripathi, Reader, K. M. College, University of Delhi
3	Knot Theory	M. Prabhakar, Assistant Professor, IIT Ropar
4	Morse Theory	Pradip Kumar and Ramesh Manna, SRF HRI, Allahabad
5	Dynamics of C H	Kuntal Banerjee, Post Doc., HRI, Allahabad.

Time Table

Day	Date	Lecture 1 9:30 - 10:30		Lecture 2 11:00 -12:00	Lecture 3 12:15 - 13:15			Tutorial (Topology) 14:30 – 15:30		Tutorial (Diff. Geometry) 16:00 – 17:00
1	16/12/2013	SDT	T e a	RL	AU		L U N C H	SD, AU, JM	T e a	RL, SPT, JM
2	17/12/2013	SDT		RL	AU			SD, AU, JM		RL, SPT, JM
3	18/12/2013	SDT		RL	AU			SD, AU, JM		RL, SPT, JM
4	19/12/2013	SDT		RL	AU			SD, AU, JM		RL, SPT, JM
5	20/12/2013	SDT		RL	AU			SD, AU, JM		RL, SPT, JM
6	21/12/2013	SDT		RL	AU			SD, AU, JM		RL, SPT, JM
7	22/12/2013	SUNDAY
		Lecture 1	T e a	Lecture 2		Lecture 3	L U N C H	Tutorial (Knot Theory)	T e a	Tutorial (MT & DCH)
8	23/12/2013	MD		MD		RM		RM, HR, PK		KB
9	24/12/2013	MD		MD		RM		RM, HR, PK		KB
10	25/12/2013	MD		KB		RM		RM, HR, PK		MD, PK, RMA
11	26/12/2013	MD		KB		RM		RM, HR, PK		MD, RMA, PK
12	27/12/2013	MD		KB		RM		RM, HR, PK		KB
13	28/12/2013	MD		KB		RM		RM, HR, PK		KB

SD : Satya Deo RL : Ramji Lal AU : Ashish Upadhyaya

RM : Rama Mishra MD: Mahuya Datta KB: Kuntal Banerjee

JM: Jitendra Maitra HR: Hitesh Raundal SPT: Satya Prakash Tripathi

PK: Pradip Kumar RMA: Ramesh Manna

Selected Applicants

Sr	SID	Full Name	Gender	Affiliation	State	Position in College/ University?	Univ. / Inst. M.Sc./M.A.	Year of Passing M.Sc./ M.A	Ph.D. Degree Date
1	4382	Mr. Brian Savio Dsouza	Male	St. Xavier's College Goa	Goa	Assistant Professor	Goa University	2007
2	4308	Ms. S B T Sundari Katakam	Female	Rajiv Gandhi University Of Knowledge Technologies	Andhra Pradesh	Lecturer	Andhra Univ.	2010
3	4400	Mr. Dilip Jain	Male	Gurukul Institute of Engineering and Technology, Ranpur, Kota	Rajasthan	Asst. Professor	IIT Delhi	2012
4	3826	Ms. Kousalyaparasakthi M	Female	Sri Sarada college for women (Autonomous)	Tamil Nadu	Ph.D	Government Arts college for women, Salem	2011
5	3825	Dr. Punam Gupta	Female	KIIT University	Orissa	Asst. Prof.	M.Sc	2007	15 Mar 2012
6	4062	Mr. Kushal Lalwani	Male	D.D.U. College	Delhi	Lecturer	D.U. M.A.	2011
7	4041	Dr. Avijit Sarkar	Male	University of Kalyani	West Bengal	Assistant professor	University of Kalyani	2002	3 Feb 2010
8	4031	Prof. Abhishek Mukherjee	Male	Kalna College	West Bengal	Asst. Prof.	M.Sc.	2007
9	3901	Dr. Gauree Shanker	Male	Banasthali University	Rajasthan	Assistant Professor	D. D. U. Gorakhpur University, Gorakhpur (U. P.).	2000	8 Oct 2005
10	4204	Mr. Avadhoot Balasaheb Kadam	Male	Annasaheb Dange College Of Engg. & Tech. Sangli	Maharashtra	Assistant Professor	Willingdon College, Sangli.	2011
11	4238	Dr. Rakesh Kumar	Male	University College of Engineering, Punjabi University, Patiala	Punjab	Assistant Professor	Punjabi University, Patiala	2002	24 Dec 2008
12	4247	Mr. Varun Jain	Male	Multani Mal Modi College,	Punjab	Head and Asst Proferssor.	Punjabi university, Patiala	2004
13	4350	Mr. Sangeet Kumar	Male	Chitkara University, Punjab	Punjab	Assistant Professor	Guru Nanak Dev University, Amritsar	2008
14	4317	Mr. Kamalakar Ramesh Surwade	Male	University of Mumbai.	Maharashtra	Asst. Professor	IIT Guwahati	2009
15	4276	Dr. Manoj Kumar Singh	Male	CSJM University Kanpur	Uttar Pradesh	Lecturer	Ddu Gorakhpur University, Gorakhpur	2006	16 Feb 2010
16	4277	Mr Girish Chandra Nayak	Male	KIIT University, Bhubaneswar	Orissa	Ass. Prof.	Utkal University	2007
17	4284	Mr. Shravan Kumar Pandey	Male	Dept. of Mathematical Sciences, A.P.S. University, Rewa	Madhya Pradesh	Guest Lecturer	A.P.S. University, Rewa	2007
18	4285	Mrs. Giteshwari Pandey	Female	Dept. of Mathematical Sciences, A.P.S. University, Rewa	Madhya Pradesh	Guest Lecturer	A.P.S. University, Rewa	2007
19	4307	Mr. Jay Prakash Singh	Male	Mizoram University	Mizoram	Assistant Professor	B.H.U.	2001	11 Dec 2006
20	4271	Dr. Dhananjoy Mandal	Male	University of Calcutta	West Bengal	Assistant Professor	University of Calcutta	2006	11 Mar 2013
21	4164	Dr. Trilok Mathur	Male	BITS-Pilani	Rajasthan	Assistant Professor	University of Rajasthan, Jaipur	2000	20 Sep 2005
22	4196	Dr. Prakash Chandra Srivastava	Male	BITS Mersa Ranchi	Uttar Pradesh	Assistant Professor	University of Allahabad	2000	6 Aug 2009
23	3930	Mr. Manas Gajare	Male	K.T.H.M. College, Nashik	Maharashtra	Asso. Prof.	KTHM College, Nashik	2012
24	4198	Dr. Bikram Banerjee	Male	Ranaghat College	West Bengal	Asst. Prof.	M.Sc Calcutta University	2000	3 Mar 2008
25	4248	Dr. Joydeep Sengupta	Male	University of Gour Banga	West Bengal	Associate Professor	University of Kalyani	1996	30 Jul 2002
26	4297	Dr. Shyamal Kumar Hui	Male	Sidho - Kanho-Birsha University	West Bengal	Assistant Professor	Burdwan University	1998	17 Jun 2010
27	4410	Mr. Sourav Das	Male	IIT Roorkee	Uttarakhand/ Uttaranchal	PhD	IIT Roorkee	2012
28	4067	Mr. Ghanashyam Kumar Prajapati	Male	DST Centre for Interdisciplinary Mathematical Sciences, BHU	Uttar Pradesh	Ph.D	Udai Pratap Autonomous College, Varanasi	2009
29	4415	Mr. Jayanta Biswas	Male	University of Delhi	Delhi	PhD 1st year Student	University of Delhi	2011
30	3952	Mr. Khushwant Singh Chahal	Male	IISER	Punjab	Post Doctorate Fellow	GNDU	2007
Local Participants:
1	4170	Ms. Sweta Kumari	Female	University of Allahabad	Uttar Pradesh	D.Phil. STUDENT	University of Allahabad, Allahabad	2009
2	4245	Mr. Akhilesh Yadav	Male	University of Allahabad	Uttar Pradesh	Ph.D. Student.	University of Allahabad, Allahabad, M.Sc.	2008
3	4403	Mr. Saurabh Chandra Maury	Male	University of Allahabad	Uttar Pradesh	D.Phil	University of Allahabad	2007
4	4418	Mrs. Shiva Mittal	Female	Shyama Prasad Mukerjee Govt. Degree College, Phaphamau.	Uttar Pradesh	Assistant Professor	University of Roorkee, Roorkee	1995	11 Apr 2011
Waiting list (Lecturers, Assistant Professors etc):
1	3902	Dr Bibhas Chandra Saha	Male	Chandidas Mahavidyalaya Khujutipara, Birbhum	West Bengal	Assistant professor	Burdwan University	1995	2 Jul 2010
2	3894	Dr Ram Kishor Pandey	Male	Government Gundadhur College, Kondagaon	Chhattisgarh	Assistant Professor	Dr. Ram Manohar Lohia Avadh University Faizabad/M.Sc.	2004
Waiting List (Ph D students):
1	4409	Mr. Abhitosh Upadhyay	Male	Guru Gobind Singh Indraprastha University	Delhi	PhD student	University of Gorekhpur, Gorekhpur	2005
2	4061	Mr. Ajeet Kumar	Male	BHU	Uttar Pradesh	PhD	BHU	2010
3	4060	Mr. Manoj Kumar	Male	DST-CIMS, Faculty Of Science, Banaras Hindu University	Uttar Pradesh	PhD	Dr. R.M.L. Awadh University, Faizabad, U.P.	2008
4	3823	Ms. Vidhya Dhanaraj	Female	Sri Sarada College for Women	Tamil Nadu	Ph. D.,(Student)	Sri Sarada College for Women	2008

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