Complex Analysis and Geometry (2022)

Convener(s)

 
Name:  Prof. S. Ponnusamy  Dr. Ritu Agarwal Dr. Priyanka Harjule
Mailing Address:  IIT Madras,  Chennai-600 036.  Assistant Professor,
VLTC II floor, Department of Mathematics,
MNIT Jaipur- 302017		 Assistant Professor,
VLTC II floor, Department of Mathematics,
MNIT Jaipur- 302017
Email:  samy at iitm.ac.in  ragarwal.maths at mnit.ac.in priyanka.maths at mnit.ac.in

 

Teachers are responsible for helping students to understand the concepts and apply them in problem solving. This Teachers Enrichment  workshop aims at  providing the teachers, in teaching the undergraduate and postgraduate students,  the knowledge that will be helpful in making the students understand the concepts in a more lucid way and applying them in solving applications based problems. The syllabus is designed to cover the curriculum of most of the undergraduate courses. It includes complex analysis and geometry of complex domains.

Please note that TEW is meant only for the local college teachers. The lectures in this workshop covers specific topics which are relevant for the teachers' classroom instructions. The usual length of the TEW is 5/6 days.  An important component of this programme is the discussion hour during which the teachers will have opportunities to get their doubts cleared and work on problems.

 

 

Dates: 

Monday, December 12, 2022 - 07:00 to Saturday, December 17, 2022 - 19:00

Venue: 

Venue Address: 

Malaviya National Institute of Technology Jaipur, JLN Marg, Jaipur-302017

Venue State: 

Venue City: 

PIN: 

302017

Chrono Order: 

400

Syllabus: 

 

Name of the Speaker with affiliation

No. of Lectures

Detailed Syllabus

Prof. K. S. Charak

University of Jammu

6

Analytic functions, Harmonic functions, Power Series, Taylor's series, Complex Integrations, Examples and consequences

Prof . Swdesh Kumar Sahoo

IIT Indore

6

Laurent Series, Classification of Singularities, Picard’s theorem, Residue calculus, Examples and consequences

Prof. S Ponnusamy

IIT Chennai

6

Entire and meromorphic functions, Weierestrass factorization theorem, Mittag-Leffler theorem, Univalent harmonic mappings, Example and consequences
Prof.  V. Balaji TE
IIT Chennai

6

Conformal mappings, Schwarz Christoffel mapping , Riemann mapping theorem, Examples and consequences,

Dr. A Sairam Kaliraj
IIT Ropar

2

Demonstration of conformal maps using software Mathematica
Dr. P. Muthukumar
IIT Kanpur

1

Univalent functions and their geometric properties

 

References:

1. S. Ponnusamy, Foundations of Complex Analysis, 2005, 508 pp; Narosa Publishing House, New Delhi.

2. S. Ponnusamy and H. Silverman, Complex Variables with Applications, 2006, 524 pp; Birkhauser, Boston

3. L. V. Ahlfors, Complex Analysis, McGraw-Hill Book Co., New York

Name of the tutors:

S. No.

Name

Affiliation

1

Dr. A Sairam Kaliraj

IIT Ropar

2

Dr. P. Muthukumar

IIT Kanpur

3

Dr. Ritu Agarwal

MNIT Jaipur

Time Table: 

Time Table

 

Day

Date

Lecture 1

(9.30–10.30)

Tea

(10.30-10.45)

Lecturer 2

(10.45–11.45)

Lecture 3

(11:45-12:45)

Lunch

(1.00 – 2.00)

Lecture 4

(2.30-3:30)

Tea

(3.30 -3.45)

Discussion (3:45-4:45)

Snacks

(5.00 – 5.30)

Mon

12 Dec

KSC

 

PS

KSC

 

PM

 

PM, KSC, RA

 

Tue

13 Dec

KSC

 

PS

PS

 

KSC

 

PS, KSC, PM

 

Wed

14 Dec

KSC

 

KSC

PS

 

PS

 

PS, PM, KSC

 

Thu

15 Dec

VB

 

SKS

SKS

 

PS

 

VB, SKS, ASK

 

Fri

16 Dec

VB

 

SKS

SKS

 

VB

 

VB,

SKS, ASK

 

Sat

17 Dec

VB

 

SKS

ASK

 

ASK

 

VB, SKS, ASK

 

 

Full forms for the abbreviations of speakers and tutors:

 

Speakers:

PS: Prof. Ponnusamy S.

VB: Prof V Balaji TE

KSC: Prof. K. S. Charak

SKS: Prof. Swdesh Kumar Sahoo

Tutors:

ASK: Dr. A Sairam Kaliraj

PM: Dr. P. Muthukumar

RA: Dr. Ritu Agarwal

Selected Applicants: 

 

Sr.n SID Full Name Gender Affiliation Position in College/ University University/ Institute M.Sc./ M.A. Year of Passing M.Sc./ M.A Ph.D. Degree Date
1 40870 Dr. Surendra Kumar Agarwal Male IIS Deemed to be University Jaipur Deemed to be University University of Rajasthan Jaipur 1998 19/01/2018
2 40912 Mr. Manoj Kumar Nahlia Male GOVERNMENT SCIENCE COLLEGE, SIKAR Assistant professor Rajasthan University jaipur 2015  
3 40981 Mr. Komal Prasad Sharma Male Manipal university Jaipur Ph.D. BDRA University Agra 2002  
4 41015 Dr Prabhakaran Sivalingam Male PSG College of Arts and Science Assistant Professor College of Engineering Guindy 2005 22/06/2018
5 41503 Mr. Shyamsunder . Male Malaviya National Institute of Technology PhD University of Rajasthan, Jaipur 2018  
6 41625 Dr. Hariom . Male S. S. Govt. P. G. College Tigaon (Department of Higher Education Haryana). Asst. Prof. IIT Delhi 2017 13/11/2021
7 41753 Mr Muniyasamy S Male THIYAGI DHARMAKKAN AMIRTHAM COLLEGE OF ARTS AND SCIENCE Asst. Prof. ALAGAPPA UNIVERSITY/ SYED HAMEEDHA ARTS AND SCIENCE COLLEGE, KILAKARAI 2017  
8 42056 Dr. Garima Tomar Female RPSDC, Balana, Mahendergarh Assistant Professor MSc/ MDU Rohtak 2004 26/09/2017
9 42100 Dr Sougata Marik Male Dhruba Chand Halder College SACT 1 IIT Guwahati 2014 22/01/2021
10 42515 Dr. Praphull Chhabra Male University of Engineering and Management Jaipur Associate Professor University of Rajasthan 2010 27/10/2016
11 42528 Dr. Tarun Sharma Male University of Engineering & Management, Jaipur Associate Professor University of Rajasthan 2014 22/10/2019
12 42568 Dr. Shiv Kumar Sharma Male Chandigarh University, Mohali Punjab Associate Professor Dr. B R Ambedkar University Agra 2004 22/07/2017
13 42571 Dr. Kuldip Katiyar Male Chandigarh University Asso. Prof. M.J.P. Rohilkhand University, Bareilly 2006 13/06/2017
14 43118 Mr. Vivek Kumar Male Central University of Jammu PhD scholar University of Jammu 2017  
15 43251 Mr Anish Kumar Male National Institute of Technology Jamshedpur PhD Central University of South Bihar 2018  
16 43285 Ms. Raneeta Dutta Female University of Kansas Graduate Teaching Student, PhD Student IIT Madras 2016  
17 43314 Mr. Ravi Kumar Male Central University of Jammu PhD Student University of Jammu 2018  
18 43424 Ms Nidhi Gupta Female Central University of Jammu PhD Scholar Central University of Jammu 2019  
19 43427 Ms. Ritu Dhankhar Female Birla Institute of Technology and Science Pilani, K K Birla Goa Campus Submitted PhD Thesis at BITS Pilani University of Delhi, M.Sc.-Maths 2016  
20 43437 Mrs. Nisha Pappachan Female St. Wilfred's pg college Assistant Professor Central University of Rajasthan 2015  
21 43464 Dr. Ajay Kumar Sharma Male Central University of Jammu Associate Professor University of jammu 1999 01/04/2009
22 43473 Dr Ajay Sharma Male Government Polytechnic College Sikar Rajasthan Lecturer University of Rajasthan 2006 14/11/2014
23 43569 Dr. Sonu Rani Female Government College for girls Kairu Bhiwani Assistant professor M.Sc 2011 20/10/2021
24 43612 Dr. Chirag Maganlal Barasara Male Hemchandracharya North Gujarat University Assistant Professor The M. S. University of Baroda 2005 16/09/2015
25 43619 Ms Christina Mascarenhas Female D.G Ruparel College of Arts, Science and Commerce Assistant Professor Mumbai University 2015  
26 43627 Dr Deepjyoti Borgohain Male B P Chaliha College Asst. Professor Tezpur University 2011 02/05/2017
27 43634 Mr. Mohd Illiyas Male SSG PAREEK PG COLLEGE ASSISTANT PROFESSOR JAMIA MILLIA ISLAMIA UNIVERSITY 2018  
28 43646 Dr. Omprakash Sikhwal Male Poornima Institute of Engineering and Technology Professor Govt. P. G. college, Mandsaur, Vikram University, Ujjain (M. P.) 1993 02/02/2010
29 43651 Prof. Shuchi Dave Female Poornima College of Engineering professor Department of Mathematics ,Jaipur 1997 10/01/2002
30 43662 Dr. Mahesh Puri Goswami Male Mohanlal Sukhadia University, Udaipur Assistant Professor Central University of Rajasthan 2012 11/10/2017
  Wait listed Candidates      
1 43664 Dr Tanuja A. Female Siddaganga institute of technology Assistant Professor Government Science College 2008 30/05/2015
2 43452 Ms. Eureka Pattnayak Female INSTITUTE OF MATHEMATICS AND APPLICATIONS Ph.D UTKAL UNIVERSITY 2021  
3 43454 Ms. Mehak Sharma Female Central University of Jammu Research Scholar University of jammu 2016  
4 43486 Mr. Nasir Uddin Gazi Male ALIAH UNIVERSITY PhD ALIAH UNIVERSITY 2015  
5 43487 Mr. Rana Mondal Male ALIAH UNIVERSITY PhD JADAVPUR UNIVERSITY 2014  
6 43488 Ms. Bhanu Sharma Female Central University of Jammu PhD Jammu University 2016  
7 43590 Mr. Ankur Raj Male Department of Mathematics, University of Delhi, Delhi. Ph.D. University of Delhi 2015  

 

 

How to Reach: 

TBA

School Short Name: 

cag

Last Date Application: 

Monday, October 31, 2022

School Type: 

TEW

Separate faculty form: 

0