IST Complex Analysis (2015) | Bhaskaracharya Pratishthana

Details
Venue	Bhaskaracharya Pratishthana, Pune
Dates	16^th - 28^th Nov, 2015

Convener(s)
Name:	Prof. Vinayak Sholapurkar	Prof. Diganta Borah
Mailing Address:	Sir Parashurambhau College, Pune	Indian Institute of Science Education and Research, Pune
Email:	--	---

Registration details

For registration and other details please visit http://www.atmschools.org/2015/isl/ca

Speakers and Syllabus

Speakers

Kaushal Verma, Indian Institute of Science, Bangalore
Vinayak Sholapurkar, Sir Parashurambhau College, Pune
Sameer Chavan, Indian Institute of Technology, Kanpur
Diganta Borah, Indian Institute of Science Education and Research, Pune

Course Associates

Sayani Bera, Indian Institute of Science, Bangalore
Geetanjali Phatak, Sir Parashurambhau College, Pune

Syllabus:

Module 1. Complex differentiation, power series, exponential and logarithm, complex line integrals, Cauchy-Goursat theorem on triangle, Cauchy’s integral formula, power series representation, zeros of holomorphic functions, Morera’s theorem, Runge’s theorem
Module 2. Riemann sphere, linear fractional transformations, conformal mappings, harmonic functions, Poisson integral formula, characterisation of harmonic functions, Schwarz reflection principle.
Module 3. Homotopy version of Cauchy’s theorem, branches of logarithm on simply connected domains,singularities, residue theorem, argument principle, Rouche’s theorem, open mapping theorem, maximum modulus principle, Schwarz lemma and the automorphisms of the disc.
Module 4. Subharmonic functions, Harnack’s principle, Dirichlet problem, Perron Method, Riemann mapping theorem.

Abstract of the Lectures:

    Prof. V. M. Sholapurkar: Cauchy’s theorem on triangle and local properties of holomorphic functions, e.g. Cauchy’s integral formula, power series representations etc. The lectures will cover Module 1.
    Dr Diganta Borah: Geometric properties of holomorphic functions, e.g. conformality and basic properties of harmonic functions. The lectures will cover Module 2.
    Dr. Sameer Chavan: The homotopy version of Cauchy’s theorem, Residue theorem and its consequences. The lectures will cover Module 3.
    Prof. Kaushal Verma: Perron’s method for solving Dirichlet problem and proof of the Riemann mapping theorem based on the original ideas of Riemann. The lectures will cover Module 4.

References

Complex Analysis, Stein and Shakarchi, Princeton University Press, 2006.
Complex Analysis, Gamelin , UTM, Spinger Verlag, New York, 2001
Functions of One Complex Variable, Conway, 2nd edition GTM 11, Springer Verlag, 1973

First Week: 16^th to 21^th November, 2015

Day	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	5:00-5:30
Mon	VS	Tea	DB	Lunch	GP/SB/VS	Tea	GP/SB/DB	Snacks
Tue	VS	Tea	DB	Lunch	GP/SB/VS	Tea	GP/SB/DB	Snacks
Wed	VS	Tea	DB	Lunch	GP/SB/VS	Tea	GP/SB/DB	Snacks
Thu	VS	Tea	DB	Lunch	GP/SB/VS	Tea	GP/SB/DB	Snacks
Fri	VS	Tea	DB	Lunch	GP/SB/VS	Tea	GP/SB/DB	Snacks
Sat	VS	Tea	DB	Lunch	GP/SB/VS	Tea	GP/SB/DB	Snacks

Second Week: 23^rd to 28^th November, 2015

Day	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	5:00-5:30
Mon	SC	Tea	KV	Lunch	GP/SB/SC	Tea	GP/SB/KV	Snacks
Tue	SC	Tea	KV	Lunch	GP/SB/SC	Tea	GP/SB/KV	Snacks
Wed	SC	Tea	KV	Lunch	GP/SB/SC	Tea	GP/SB/KV	Snacks
Thu	SC	Tea	KV	Lunch	GP/SB/SC	Tea	GP/SB/KV	Snacks
Fri	SC	Tea	KV	Lunch	GP/SB/SC	Tea	GP/SB/KV	Snacks
Sat	SC	Tea	KV	Lunch	GP/SB/SC	Tea	GP/SB/KV	Snacks

SC: Sameer Chavan
KV: Kaushal Verma
VS:Vinayak Sholapurkar
DB: Diganta Borah
SB: Sayani Bera
GP: Geetanjali Phatak

Notes:

The email Id for any correspondence regarding this IST is bhaskaraprim@gmail.com
Date and time of the special lecture will be announced in due course
The accommodation for participants is planned at Gokhale Institute near Bhaskaracharya Pratishthan.
The time table is tentative in nature and there could be some changes at a later date.
The allocation of the accommodation will be on first come first serve basis.

Selected Applicants:

Sr	SID	Full Name	Gender	Affiliation	City	Position in College/ University	University/ Institute M.Sc./M.A.	Year of Passing M.Sc./ M.A	Ph.D. Deg. Date
1	2650	Dr. Mohammad Ibrahim Mir	Male	University of Kashmir, South Campus, anantnag	Anantnag	Asst. Prof	University of Kashmir	2003	07/16/2014
2	2665	Mr. Piyush Goyal	Male	scd govt college	ludhiana	Asst. Prof	panjab university, chandigarh	2011
3	2666	Dr Nabendu Sen	Male	Assam University, Silchar	Silchar	Asst. Prof	M.Sc (Mathematics)	2001	06/24/2008
4	2675	Dr. Sam Johnson	Male	NIT Karnataka	Mangalore	Asst. Prof	Alagappa Univeristy	2000	12/20/2005
5	2687	Dr. Dilip Chandra Pramanik	Male	University of North Bengal	Siliguri	Asst. Prof	University of North Bengal (M.Sc in Mathematics)	2008	12/03/2014
6	2697	Mr Gobinda Chandra Panda	Male	m.i.e.t,bbsr	BBSR	Asst. Prof	Sambalpur university	2005
7	2698	Mr. Siddhant Tusharkumar Trivedi	Male	Ganpat University	Mehsana	Asst. Prof	Gujarat University	2014
8	2710	Ms. Kashish Rajput	Female	Ganpat University	mehsana	Asst. Prof	M.Sc.	2013
9	2777	Mr. Rajib Mandal	Male	Raiganj University	Raiganj	Asst. Prof.	Jadavpur University	2009
10	2783	Mr Sajad Hussain Ahangar	Male	IUST Awantipora	Srinagar	Asst. Prof	University of kashmir, Srinagar.	2007
11	2793	Mr. Molla Basir Ahamed	Male	Kalipada Ghosh Tarai Mahavidyalay (Bagdogra College)	Siliguri	Asst. Prof	IIT Guwahati	2012
12	2811	Mr Suhail Gulzar Mattoo	Male	Islamic University of Science and Technology	Srinagar	Asst. Professor	Kashmir University	2007	11/11/2014
13	2814	Dr. Tarun Kumar Garg	Male	Satyawati College, University of Delhi, Delhi	New Delhi	Associate Professor	M. D. University, Rohtak, Haryana	1992	07/25/1999
14	2857	Mrs. Anushaka Ashitosh Patil	Female	P. V. P. I. T. Budhgaon, Sangli	Sangli	Associate Professor	shivaji universiy , Kolhapur	2001	11/05/2009
15	2865	Dr. Prasanta Sinha	Male	Prabhu Jagatbandhu College	Kolkata	Associate Professor	Department of Pure Mathematics, University of Calcutta	1988	09/01/2008
16	2869	Mrs Saee Aditya Joshi	Female	Ramnarain Ruia College	Mumbai	Assistant professor	IIT Kanpur	2010
17	2917	Mr. Vainkat Taterao Gitte	Male	Nagnathappa Halge College of Engineering Parli-v	Parli-v	H.O.D.	Dr. B.A.M. University Aurangabad	2006
18	2925	Mr Amol Avinash Joshi	Male	Maharashtra Institute Of Technologie's Academy Of Engineering (MIT Aoe)	PUNE	Asst. Prof	University Of Pune	2010
19	2963	Mr. Mandar Narayan Khasnis	Male	Smt. Chandibai H. Mansukhani College	Ulhasnagar	Asst. Prof	University of Mumbai	2003
20	3021	Mrs. Sini Ronson	Female	MIT Academy Of Engineering	Pune	Asst. Prof	Veer Narmad South Gujarat University, Surat	2007
21	3045	Ms. Sayali Sanjay Deshpande	Female	Sir Parshurambhau College	Pune	Asst. Prof	Sir Parshurambhau College	Appeared / Awaiting Result
22	3049	Mr. Dilip Balasaheb Ghule	Male	Dr. D Y Patil School of Engg & Technology	pune	Lecturer	PUNE University/New Arts Comm & Science college Ahmednagar	2013
23	3068	Ms. Amruta Chandrashekhar Patil	Female	AISSMS Institute Of Information Technology	Pune	Asst. Prof	North Maharashtra University, Jalgaon, Maharashtra	2008
24	3083	Mr. Gaurav Shantaram Jadhav	Male	S.S. & L.S. Patkar-Varde College	Mumbai	Asst. Prof.	University of Mumbai	2011
25	3121	Mr. Prasad Shrikrushna Lonkar	Male	S.P.College	Pune	Asst. prof.	University of Pune	2012
26	3133	Mrs. Manisha Pradip Pansare	Female	MIT Academy of Engineering	Pune	Asst. Prof	Department of Mathematics, Pune University	2010
27	3159	Mrs. Jayashri Jagdish Bhamare	Female	s.s.v.p.s.b.s.deore college of engineering	Dhule	Asst. Prof	Institute M. Sc	1994
28	3222	Mr. Pradip Dattatraya Pansare	Male	MIT ACSC	Pune	Asst. Prof	Department of Mathematics, Pune University	2009
29	3240	Ms. Swarup Purushottam Patil	Female	Sir Parashurambhau College	Pune	Asst. Prof.	Sir Parashurambhau College, Pune	Appeared / Awaiting Result
30	3243	Mr. Amol Bhausaheb Patil	Male	All India Shri Shivaji Memorial Society's, College Of Engineering, Pune.	PUNE	Asst. Prof	Savitribai Phule Pune University	2002
31	3244	Ms. Usha Ramlal Bag	Female	Shree L. R. Tiwari College of Engineering	Thane	Asst. Prof	University of Mumbai	2006
32	3249	Mr. Sumedh Bhaskarrao Thool	Male	Government Vidarbha Institute of Science and Humanities Amravati, Amravati.	Amravati	Asst. Prof	Pune University	2011
33	3255	Mr Avinash Bansidhar Thakare	Male	AISSMS COE PUNE	PUNE	Asst. Prof	PUNE/ UNIVERSITY OF PUNE	2002
34	3256	Dr. Gyan Chandra Singh Yadav	Male	University of Allahabad	Allahabad	Asst. Prof	University of Allahabad	2004	05/05/2010
35	3270	Dr. Sanket Arun Tikare	Male	Ramniranjan Jhunjhunwala College,	Mumbai	Asst. Prof	Shivaji University	2008	07/16/2012
36	3271	Mr. Vitthal Anandarao Chougule	Male	SVPM's College of Engineering, Malegaon Bk,	Baramati	Asst. Prof	Shivaji University, Kolhapur	1991
37	3275	Ms. Rashmi Tarika	Female	A.S.College for Women	Khanna	Asst. Prof	Panjab University/M.Sc.	2009
38	3306	Mr. Krishnat Dattatriya Masalkar	Male	MES's Abasaheb Garware College , Karve Road , Pune -04	Pune	Asst. Prof	Shivaji University , Kolhapur	2005
39	3335	Ms. Kondapalli Krishna Sowmya	Female	Osmania University College for Women	Hyderabad	Asst. Prof.	NIT Calicut	2010

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