IST Complex Analysis (2015)

Details 
Venue Bhaskaracharya Pratishthana, Pune
Dates 16th - 28th 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: 16th to 21th 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: 23rd to 28th 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:

  1. The email Id for any correspondence regarding this IST is bhaskaraprim@gmail.com

  2. Date and time of the special lecture will be announced in due course

  3. The accommodation for participants is planned at Gokhale Institute near Bhaskaracharya Pratishthan.

  4. The time table is tentative in nature and there could be some changes at a later date.

  5. 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