TEW  Complex Analysis & Number Theory (2021)
Speakers and Syllabus
Syllabus:
Name of the Speaker with affiliation  No. of Lectures  Detailed Syllabus 
Srinivas Kotyada, Professor, The Institute of Mathematical Sciences, Chennai 
10 lectures (90 minutes each)  Division algorithm, GCD, Euclid’s algorithm, solution of linear diophantine equations, fundamental theorem of arithmetic, infinitude of primes, finding primes with a given number of digits, arithmetic modulo m, solution of congruences modulo m, Fermat’s theorem, Euler’s theorem and their applications. 
Tarakanta Nayak Associate Professor, Indian Institute of Technology, Bhubaneswar 
10 lectures (90 minutes each)  Mobius and other elementary maps, Local properties of analytic functions, Behaviour of analytic functions near singularities removable, pole and essential, Asymptotic values, Cauchy integral formula and its consequences, Evaluation of certain real integrals, Analytic continuation 
References:
(1) Complex Analysis by L. Ahlfors
(2) Complex Analysis by Stein and Shakarchi
(3) The theory of numbers by Niven, Zuckerman and Montgomery
(4) Introduction to Analytic number theory by Apostol
Time Table
Timetable (with names of speakers and tutors):
Week1 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  Wednesday  Thursday  Friday 
Date  18 Dec  19 Dec  20 Dec  21 Dec  22 Dec  23 Dec  24 Dec 
Time (PM)  5:006:30 KS 
5:006:30 KS 
5:006:30 KS 
5:006:30 KS 
5:006:30 KS 
5:006:30 KS+SP+US 
5:006:30 TN+PG+SG 
Speaker 
7:008:30 
7:008:30 
7:008:30 
7:008:30 
7:008:30 
7:008:30 
7:008:30 
Week2 of the TEW (25  31 December, 2021)
Lecture 11&12 
Lecture 13&14 
Lecture 15&16 
Lecture 17&18 
Lecture 19&20 
Tutorial 5&6 
Tutorial 7&8 

Day  Saturday  Sunday  Monday  Tues  Wednesday  Thursday  Friday 
Date  25 Dec  26 Dec  27 Dec  28 Dec  29 Dec  30 Dec  31 Dec 
Time (PM)  5:006:30 KS 
5:006:30 KS 
5:006:30 KS 
5:006:30 KS 
5:006:30 KS 
5:006:30 KS+SP+US 
5:006:30 TN+PG+SG 
Speaker 
7:008:30 
7:008:30 
7:008:30 
7:008:30 
7:008:30 
7:008:30 
7:008:30 
 TN: Tarakanta Nayak
 SK: Srinivas Kotyada
 SG: Subhasis Ghora
 SP: Sudhir Pujahari
 PG: Priyabrat Gochhayat
 US: Usha K Sangale
Speakers:
S. No.  Name  Affiliation 
1  Srinivas Kotyada  Professor, IMSc, Chennai 
2  Tarakanta Nayak  Associate Prof., IIT Bhubaneswar 
Tutors:
S. No.  Name  Affiliation 
1  PriyabratGochhayat  Asst. Prof. School of Mathematics, Sambalpur University, Sambalpur, Odisha 
2  Sudhir Pujahari 
PDF, University of Warsaw, Poland.

3  Subhasis Ghora  SRF, IIT Bhubaneswar 
4  Usha K Sangale  Asst Prof. SRTM University, Nanded, Maharashtra 
Note: All the speakers and tutors will provide lecture notes and videos of their lectures.