Complex Analysis & Number Theory (2021)

Venue:	IIT, Bhubaneswar, Odisha(Orissa)
Date:	18th, Dec 2021 to 31st, Dec 2021

School Convener(s)
Name	Prof. Srinivas Kotyada	Prof. Srinivas Kotyada
Mailing Address	Professor, The Institute of Mathematical Sciences IV Cross Road, CIT Campus, Taramani Chennai 600 113, Tamil Nadu, India.	Associate Professor, School of Basic Sciences, Indian Institute of Technology Bhubaneswar Argul, Khordha- 752050, Odisha

List of the actual speakers:

Name of the speaker	Position	Affiliation and address
Prof. Srinivas Kotyada	Professor	The Institute of Mathematical Sciences, IV Cross Road, CIT Campus, Taramani, Chennai
Dr. Tarakanta Nayak	Professor	School of Basic Sciences, IIT Bhubaneswar, Odisha

List of the actual tutors:

Name of the tutor	Position	Affiliation and address
Sudhir Pujahari	Assistant Prof.	NISER, Bhubaneswar
Subhasis Ghora	SRF	IIT Bhubaneswar
Usha K Sangale	Asst Prof.	SRTM University, Nanded, Maharashtra
Soumen Pal	JRF	IIT Bhubaneswar

Syllabus:

Actual syllabus covered by each speaker:

Name of the Speaker

Detailed Syllabus

Prof. Srinivas Kotyada

Divisibility, Euclidean algorithm, Primes, Congruences, Solution of linear congruences, Fermat's little theorem, Euler's theorem, Introduction to Cryptography, Efficient computations, Construction of finite fields, The Riemann zeta-function

Tarakanta Nayak

Mobius maps, Circles and Symmetry, Cross ration, Elementray maps, Taylor series expansion of analytic maps, Cauchy’s theorem, Counting zeros, Open mapping theorem, Singularities and Laurent series expansion, Residue and its application, Analytic continuation by symmetry

Time Table

Actual time-table that was followed during the programme:

Week‐1 of the TEW (18 ‐ 24 December, 2021)

	Lecture‐ 1&2	Lecture‐ 3&4	Lecture‐ 5&6	Lecture‐ 7&8	Lecture‐ 9&10	Tutorial‐ 1&2	Tutorial‐ 3&4
Day	Saturday	Sunday	Monday	Tues	Wednesda y	Thursday	Friday
Date	18 Dec	19 Dec	20 Dec	21 Dec	22 Dec	23 Dec	24 Dec
Time (PM)	5:00‐6:30 TN	5:00‐6:30 KS	5:00‐6:30 TN	5:00‐6:30 KS	5:00‐6:30 KS	5:00‐6:30 KS+SP+US	5:00‐6:30 TN+SP+SG
	7:00‐8:30	7:00‐8:30	7:00‐8:30	7:00‐8:30	7:00‐8:30	7:00‐8:30	7:00‐8:30
Speake r	KS	KS	KS	TN	TN	KS+SP+US	TN+SP+SG

Week‐2 of the TEW (25 ‐ 31 December, 2021)

	Lecture 11& Tutorial 5	Lecture 12&13	Lecture 14&15	Lecture 16&17	Lecture 18&19	Tutorial 6&7	Lecture 20 & Tutorial‐8
Day	Saturday	Sunday	Monday	Tues	Wednesda y	Thursday	Friday
Date	25 Dec	26 Dec	27 Dec	28 Dec	29 Dec	30 Dec	31 Dec
Time (PM)	5:00‐6:30 KS	5:00‐6:30 KS	5:00‐6:30 TN	5:00‐6:30 KS	5:00‐6:30 TN	5:00‐6:30 KS+SP+US	5:00‐6:30 TN
Speaker	7:00‐8:30 TN+SP+SG	7:00‐8:30 TN	7:00‐8:30 TN	7:00‐8:30 TN	7:00‐8:30 KS	7:00‐8:30 KS+SP+US	7:00‐8:30 TN+SP+SG

TN: Tarakanta Nayak, SK: Srinivas Kotyada, SG: Subhasis Ghora
SP: Sudhir Pujahari, SP: Soumen Pal, US: Usha K Sangale

List of actual Participants

Sn.n	SID	Full Name	Gender	Affiliation	Position in College / Univ ersity	Year of Passi ng M.Sc. / M.A	Ph.D. Deg.Date
1	36977	Mr Jitendra Barik	Male	SB womens Autonomous College,Cuttack	Guest Lecture	2016
2	36989	Mr. Mudassir Ahmad Bhat	Male	Govt. Degree college Anantnag	Assistant Professor	2009
3	36996	Mr. Firdous Ahmad Mala	Male	Govt. Degree College Sopore, J&K	Assistant Professor	2007
4	37003	Mr. Ranjit Gangadhar Ghumde	Male	Shri Ramdeobaba College of Engineering and Management Nagpur	Assistant Professore	2007	07‐02‐2017
5	37027	Mr. Sandip Rout	Male	University of Hyderabad	PhD Student	2018

6	37030	Mr Mukesh Dhanuka	Male	Larambha College,Larambha	Lecturer	2015
7	37038	Mrs. G Petchiammal	Female	V.H.N Senthikumara Nadar College (Autonomous)	Assistant Professor	2012
8	37046	Mr A S E S N Sudhakar	Male	Government junior college Tekkali	Contract Junior Lecturer	2007	12‐06‐2018
9	37047	Dr. Ripan Saha	Male	Raiganj University	Assistant Professor	2013	16‐03‐2021
10	37103	Ms Sushmita Kushwaha	Female	Mahatma Gandhi Kashi Vidyapith, varanasi	Ph.D	2017
11	37130	Mrs. Sankari Alias Deepa	Female	Rajapalayam Rajus' college	Assistant professor	2015
12	37171	Mr. Md Hasanuzzaman	Male	Aligarh Muslim University	PhD	2015
13	37224	Mr Arabinda Pandab	Male	Pattamundai College	Lecturer	1996
14	37230	Dr Gaurav Kumar	Male	GDC PALOURA	Assistant Professor	2011	27‐12‐2017
15	37248	Dr. Navneet Lal Sharma	Male	Amity University Gurgaon, Haryana	Asst. Professor	2008	15‐04‐2016
16	37257	Mr. Tapas Ranjan Panigrahi	Male	BITS‐Pilani, Hyderabad Campus	PhD	2012
17	37263	Prof. Sanjeev Verma	Male	GDC BANI	Assistant professor	2003
18	37289	Dr. Rajaji Ramasamy	Male	Patrician College of Arts and Science	Assistant Professor	2011	06‐07‐2016
19	37290	Ms. Ritu Dhankhar	Femal e	BITS Pilani K K Birla Goa Campus	PhD	2016
20	37303	Mr. Soumen Pal	Male	IIT Bhubaneswar	Research Scholar	2016
21	37314	Dr. Sonia	Female	Chandigarh University	Assistant Professor	2004	19‐09‐2019
22	37323	Dr Saravanan G	Male	Patrician College Arts and Science, Adyar, Chennai	Assistant Professor,	2014	21‐08‐2020
23	37324	Dr. Gyan Chandra Singh Yadav	Male	University of Allahabad, Prayagraj(Allahabad)	Assistant Professor	2004	05‐06‐2010
24	37335	Dr. Deepika Sharma	Female	Chandigarh University	Assistant Professor
25	37398	Mrs. Savkirat Kaur	Female	DEV SAMAJ COLLEGE FOR WOMEN	Assistant Professor	2015
26	37408	Dr. Bikash Chakraborty	Male	Ramakrishna Mission Vivekananda Centenary College	Assistant Professor	2013	23‐11‐2017
27	37410	Dr Jatinder Kaur	Female	Chandigarh university	Associate professor	2006	01‐08‐2017
28	37421	Mr. Mihir Kumar Thaty	Male	Shree Ram College,Rampur	Lecturer	2015
29	37424	Mr Prafull Chandra Das	Male	Pathani Samanta Degree College, Khandapada, Nayagarh	Lecturer	2009
30	37433	Mr S Sridhar Rajagopal Rajagopal	Male	VIT Chennai	Research Scholar	2010
31	37438	Mr Venkata Yadaiah	Male	Palmuru university PG centre ‐ Kollapur	Assistant professor	2001
32	37441	Dr. Gautam Kalita	Male	Indian Institute of Information Technology Guwahati	Assistant Professor	2010	28‐02‐2014
33	37442	Mr Sankar S	Male	Periyar University	Research Scholar	2017
34	37443	Dr. Trailokya Panigrahi	Male	Institute of Mathematics and Applications	Associate Professor	1994	28‐06‐2012
35	37445	Ms Raihana M. Rashid	Female	Central University of Kashmir	Ph. D Scholar	2015
36	37446	Mr. Bibhu Prasad Tripathy	Male	KIIT UNIVERSITY,BHUBAN WSAR,ODISHA	PhD Student	2015
37	37452	Dr. Dinesh Tripathi	Male	Manav Rachna University	Associate Professor	2007	01‐01‐2017
38	37457	Dr. Kanailal Mahato	Male	Banaras Hindu University	Assistant Professor	2012	14‐01‐2017
39	37462	Ms. Poornima S	Female	KPR College of Arts Science and Research	Assistant Professor	2016
40	37463	Mr. Karthik And Madhavan	Male	KPR College of Arts Science and Research	Assistant Professor	2012
41	37477	Mr. Tamil Selvan T	Male	National Institute of Technology, Calicut	PhD Student	2014
42	37478	Mr Gokul R	Male	Bharathidasan University	PhD	2020
43	37479	Mr Amit Kumar	Male	Saraswati college	Etc	2017
44	37480	Dr. Naveen Kumar	Male	Chandigarh University	Associate Professor	2012	11‐12‐2020
45	37482	Mr. Biswanath Choudhury	Male	Polasara Science College	Lecturer in Mathematics	2014
46	37484	Ms Nandhini Rajendran	Femal e	PSG College of Arts & Science	Assistant Professor	2016
47	37485	Mr. Yadhavan K	Male	Karpagam College of Engineering	Assistant Professor	2019
48	37490	Dr. Rajendra Kumar Bairwa	Male	University of Rajasthan	Assistant Professor	2007	10‐11‐2016
49	37491	Ms. Rasmita Sahu	Female	Larambha College, Larambha	Lecturer	2020
50	37493	Dr. Revathy M	Female	KPR College of Arts Science and College	Assistant Professor & Head	2011	16‐03‐2020
51	37495	Mr. Priyaranjan Mallick	Male	National Institute of Technology	PhD	2013
52	37497	Shri Smruti Ranjan Sahoo	Male	BJB Autonomous College	Assistant Professor	2015
53	37499	Mr. Kedarnath Buda	Male	Karanjia Autonomous College	Lecturer	2013
54	37500	Dr. Dwiti Krushna Behera	Male	Ravenshaw University	Assistant Professor	2001	31‐05‐2018
55	37501	Mr. Sukanta Das	Male	IIT BHUBANESWAR	PhD Scholar	2019
56	37503	Ms. Pooja Phogat	Female	IIT Bhubaneswar	PhD Scholar	2019
57	37508	Dr. Ratesh Kumar	Male	Lovely Professional University	Associate Professor

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