IST  Complex Analysis (2019)
Speakers and Syllabus
Syllabus:
Week 1: (quick revision of standard material)
Complex differentiation, local Cauchy theorem, power series representation, open mapping theorem, maximum modulus theorem, global Cauchy theorem and the calculus of residues.
Week 2:
The Schwarz lemma, automorphisms of the disc, PhragmenLindelof theorem, Runge's theorem, MittagLeffler theorem and the Riemann Mapping theorem, time permitting Picard's theorem
References:
 Rudin: Real and complex analysis
 Conway: Functions of one complex variable
Speakers:
 (1318 May 2018)
 Vikramjeet Singh Chandel (Post doc at IIT Bombay)
 Amar Deep Sarkar (Research Associate at IISc)
 (2025 May 2018)
 Sushil Gorai (Asst Prof at IISER Kolkata)
 G P Balakumar (Asst Prof at IIT Palakkad)
 Prof. Kaushal Verma will give a few lectures.
Associate Teachers:
 (1318 May 2018)
 Gopal Datt: (Postdoc at IISc)
 SayaniBera (Postdoc at RKMVU, Belur)
 (2025 May 2018)
 Diganta Borah (Asst Prof at IISER Pune)
 Rohit Joshi (Post Doc at Bhaskaracharya Pratishthana)
Time Table
It is planned to follow the standard time table of IST. Weekly Time Table is as follows:

09.30 
11.00 
11.30 
1.00 
2.30 
3.30 
3.45 
4.45 
Mon 
L1 
T E A 
L2 
L U N C H 
T1 
T E A 
T2 
S

Tues 
L3 
L4 
T3 
T4 

Wed 
L5 
L6 
T5 
T6 

Thur 
L7 
L8 
T7 
T8 

Fri 
L9 
L10 
T9 
T10 

Sat 
L11 
L12 
T11 
T12 