Analysis and Geometry (2022)

Convener(s)

 
Name: Prof. Shrihari Sridharan Dr. V. Franklin
Mailing Address: School of Mathematics
Indian Institute of Science Education and Research Thiruvananthapuram (IISER-TVM)
Maruthamala P.O., Vithura, Thiruvananthapuram. PIN 695 551.		 Department of Mathematics
Bishop Heber College
Puthur, Tiruchirappalli. PIN 620 017.
Email: shrihari at iisertvm.ac.in franklinvictor at bhc.edu.in

TEWs are meant only for the local teachers and therefore no travel and other hospitalities will be provided to the outstation participants.

Interplay between diverse areas of Mathematics is fundamental to research and it promotes better delivery of lectures while teaching, owing to the interesting insights that individuals may receive into both the disciplines.. In this workshop, we focus on the interplay between the fundamental concepts in Analysis and Geometry. We aim to start with fundamental topics in real analysis and complex analysis and describe their uses in the study of geometry. The workshop is meant for undergraduate and postgraduate college teachers. The workshop will be an intensive one and only those who are willing to work hard and actively participate are encouraged to apply. There may be space for a few research scholars, as well.

Dates: 

Wednesday, May 25, 2022 - 19:00 to Tuesday, May 31, 2022 - 19:00

Venue: 

Venue Address: 

Bishop Heber College
Post Box. 615
Puthur, Tiruchirappalli. PIN 620 017.
Tamilnadu, India.
0431-2770136 / 2770158 / 2772345
www.bhc.edu.in

Venue State: 

Venue City: 

PIN: 

620017

Chrono Order: 

363

Syllabus: 

S.No Name of the Speaker with affiliation No. of Lectures Detailed Syllabus
1 Prof. S. Thangavelu (ST) Department of Mathematics Indian Institute of Science, Bangalore. (IISc) 6 Real Analysis: Metric spaces, Bolzano- Weierstrass theorem, Cantor intersection theorem, Heine-Borel theorem, C o n t i n u i t y, c o m p a c t n e s s a n d connectedness, Topological spaces, Basis for a topology, Order topology.
2 Prof. E.K. Narayanan (EKN) Department of Mathematics Indian Institute of Science, Bangalore. (IISc) 6 Complex Analysis: Analytic functions, Complex integration, Residue calculus (may be, we will leave this topic out), Schwarz’ lemma, Riemann mapping theorem.
3 Prof. Shrihari Sridharan (SS) Indian Institute of Science Education and Research Thiruvananthapuram. (IISER-TVM) 6 Geometry of the upper half-plane: Axioms of non-Euclidean geometry, Mobius maps as isometries, Semi-circles and vertical straight lines on the upper half-plane as distance minimising paths, triangles, polygons, circles; Area formula (Gauss-Bonnet), Fuchsian groups and fundamental domains.

 References:
1. S. Kumaresan, Topology of Metric spaces, 2nd Ed., Narosa Publishing House, Reprint 2018
2. E. M. Stein, R. Shakarchi, Complex Analysis. Princeton University Press, 2003.
3. S. Katok, Fuchsian Groups. University of Chicago Press. 1992.

Time Table: 

 

Day Date Lecture 1
(9.30 - 11:00) 		T e a

11: 00 - 11: 20

 Lecture 2
(11.20 - 12.50) 		L u n Lecture 3
(2.20 - 3.50) 		T e a
3: 50 - 4: 10		 Tutorial
(4.10 - 5.10) 		S n a c k s
5: 10 - 5: 30
Wed 25/05/22 ST EKN c h SS T
Thu 26/05/22 EKN SS   ST T
Fri 27/05/22 SS ST 12: 50 EKN T
Sat 28/05/22 ST EKN - SS T
Mon 30/05/22 EKN SS 2: 20 ST T
Tue 31/05/22 SS ST   EKN T

 

 Tutors:

1.Prof. P. K. Sanjay, Depertment of Mathematics, National Institute of Technology (NIT) - Calicut.
2.Dr. Sharvari Neetin Tikekar, School of Mathematics, IISER-TVM.

 

 

 

 

Selected Applicants: 

Serial SID Full Name Gender Affiliation Position in College/ University Year of Passing M.Sc./M.A Ph.D. Degree Date
1 32774 Dr. Vimala Shanmugavel Female Employee of Mother Teresa Women's University Assistant Professor 1997 22/02/2007
2 32781 Ms Raihana Raihana Rashid Female Central University of Kashmir, Ganderbal, Jammu & Kashmir MPhil Scholar 2015  
3 32914 Ms. Amritha Vc Female Manonmaniam Sundaranar University PhD Scholar 2014  
4 32942 Dr Geno Kadwin Kadwin Male Loyola college Assistant professor 2011 05/01/2018
5 32954 Ms Uma Gayathri G Female PSG College of Technology,Coimbatore MSc Student    
6 33213 Ms. Shilpa Dutta Female Jadavpur University, Kolkata 5th    
7 33333 Miss Puja Ravindra Hingmire Female N.E.S.Science College,Nanded M.Sc Student Appeared  
8 34024 Mr. Mohabbat Ali Male Jamia Millia Islamia Research Scholar 2016  
9 35803 Mr. Thangeshwaran M Male Periyar University Pg Extension Centre Guest Lecturer 2013  
10 37105 Mr. S. Viswanathan Male Kerala School of Mathematics MSc. Student 2022  
11 37202 Mr. Askar Hussain Male Aligarh Muslim University PhD 2017  
12 37228 Mr. Lovelesh Sharma Male IIT Jodhpur, Rajasthan PhD 2018  
13 37343 Mr. Sugumar Raji Male C. Abdul Hakeem College (Autonomous) Assistant Professor 2013  
14 37368 Mr Muniyasamy S Male Thiyagi Dharmakkan Amirtham College Of Arts & Science Assistant Professor 2017  
15 37409 Dr. Bikash Chakraborty Male Ramakrishna Mission Vivekananda Centenary College Assistant Professor 2013 23/11/2017
16 37416 Mr Narendra Laishram Male University of Hyderabad Msc student 2021  
17 37459 Mr. Varadha Raj Manivannan Male Vellore Institute of Technology PhD 2019  
18 37466 Mr. M Muthuvel Male Bishop Heber College (Autonomous) Assistant professor 2014  
19 37468 Mr. M Suresh Kumar Male Bishop Heber College Assistant Professor 2007  
20 37489 Mr. Sahayarajjoseph Nirmalkumar Male St.Xavier's college Assistant professor 2014  
21 37524 Ms Arokiamary. S S Female Mother Gnanamma Women's College of Arts and Science Assistant Professor 2004  
22 37544 Mr. Ankit Msc Jaiswal Male Sardar Vallabhbhai National Institute Of Technology, Surat MSc student Appeared / Awaiting Result  
23 37548 Mr Gokul R Male Bharathidasan University PhD Scholar 2020  
24 37551 Mr Karthick G Male Bharathidasan University Phd 2017  
25 37591 Mr David Kumar Male The American College Assistant Professor 2006  
26 37685 Ms. Nithiya K S Female Vellore Institute of Technology TRA 2009  
27 37722 Mr. Kumar C Male Vellore Institute of Technology Assistant Professor (Junior) 2014  
28 37728 Ms. Poornima S Female KPR College of Arts Science and Research Assistant Professor 2016  
29 37737 Dr. Parthiban Saminathan Male Bishop Heber College Assistant Professor 2013 12/06/2020
30 37739 Mr Lakshminarayanan N Male Bishop Heber College Assistance Professor 2015  

 

 

How to Reach: 

Click here

School Short Name: 

ag

Last Date Application: 

Wednesday, April 15, 2020

School Type: 

TEW