Algebra, Complex Analysis and Number Theory (2025)

Convener(s)

 
Name: Dr. G. P. Youvaraj Dr. R. Ratha Jeyalakshmi Dr. R. Gurusamy Mrs. S. Vetriselvi
Mailing
Address:		 Ramanujan Institute for Advanced Study in Mathematics,
University of Madras,
Chennai-600005,
Tamil Nadu		 Department of Mathematics,
Mepco Schlenk Engineering College (Autonomous),
Sivakasi - 626005,
Tamil Nadu		 Department of Mathematics,
Mepco Schlenk Engineering College (Autonomous),
Sivakasi - 626005,
Tamil Nadu		 Department of Mathematics,
Mepco Schlenk Engineering College (Autonomous),
Sivakasi - 626005,
Tamil Nadu
Email:  youvarajgp at yahoo.com  rratha at mepcoeng.ac.in rgurusamy at mepcoeng.ac.in  selvisophi95 at mepcoeng.ac.in

This Teachers’ Enrichment Workshop (TEW) is aimed primarily for mathematics teachers at the under graduate and post graduate levels. While research scholars in mathematics may also apply, they will be given lower preference in the selection. The sessions will be geared towards improving the understanding of the fundamental concepts and results in Algebra, Complex Analysis and Number theory. The workshop will be an intensive one, and only those who are willing to actively participate and to get their hands dirty by solving problems need to apply.

Dates: 

Monday, May 26, 2025 - 19:00 to Saturday, May 31, 2025 - 19:00

Venue: 

Venue Address: 

TEW in Algebra, Complex Analysis and Number Theory
May 26 – 31, 2025
Department of Mathematics, Mepco Schlenk Engineering College (Autonomous),
Sivakasi - 626005, Tamil Nadu

Venue State: 

Venue City: 

PIN: 

626005

Syllabus: 

Speaker and
Affiliation		 Topic(s) Number of
lecture hours		 Number of
tutorial hours
Dr. R. Balasubramanian
IMSc, Chennai		 Number Theory:
Division algorithm, Greatest common divisors, Euclid’s algorithm and continued fractions, Solutions 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.		 9 2 (conduct) +
2 (assist)
Dr. K. N. Raghavan
KREA University,
Andhra Pradesh		 Algebra:
Groups, Subgroups, Quotient groups, Group action on a set, Class equations, Sylow’s theorem, Solvable groups, Characterization of small order groups, Some applications of group theory.		 9 2 (conduct) +
2 (assist)

Dr. G. P. Youvaraj
RIASM, Chennai

 Complex Analysis:
Holomorphic functions, Cauchy-Riemann equations, Power series, Singularities, Laurent series expansion, discussion of zeros and singularities of analytic functions, Complex integration, Cauchy’s Theorem, Residue Theorem, with an emphasis on computing/ estimating improper Riemann integrals via contour integration. Linear transformations, linear fractional transformations, Conformal mappings and applications.		 9 2 (conduct) +
2 (assist)

References:

  1. James Ward Brown and Ruel V. Churchill, “Complex Variables and Applications”, McGraw-Hill Education, 9th Edition, 2014.
  2. S.Ponnusamy, “Foundation of Complex Analysis”, Narosa Publishing House, 2011.
  3. Tom M. Apostol, “Introduction to Analytic Number Theory”, Springer, 2010.
  4. David M. Burton, "Elementary Number Theory", Mc Graw Hill Education, 7th Edition, 2017.
  5. David S. Dummit and Richard M. Foote, Abstract Algebra, (3rd Edition reprint), John Wiley and Sons, 2013
  6. Gallian, J.A. Contemporary Abstract Algebra,Ninth Edition (Cengage Learning, 2017).

Time Table: 

 

Time

09.30
to
11.00

Lecture

 

11.15
to
12.45

Lecture

 

14.00
to
15.30

Lecture

 

15.45
to
16.45

Tutorial

 

Mon
May 26th

RB

 

KNR

L

GPY

 

RB & KNR

S

Tue
May 27th

KNR

T

GPY

U

RB

T

KNR & GPY

N

Wed
May 28th

GPY

E

RB

N

KNR

E

GPY & RB

A

Thu
May 29th

GPY

A

RB

C

KNR

A

RB & KNR

C

Fri
May 30th

RB

 

KNR

H

GPY

 

KNR & GPY

K

Sat
May 31th

KNR

 

GPY

 

RB

 

GPY & RB

S

 RB -  R. Balasubramanian  - 9 lecture hours + 4 tutorial hours
KNR -  K. N. Raghavan       - 9 lecture hours + 4 tutorial hours
GPY - G. P. Youvaraj           - 9 lecture hours + 4 tutorial hours

 

Selected Applicants: 

Participants are requested and expected to come prepared with fundamental concepts and results in Algebra, Complex Analysis, and Number Theory. Such preparation will enable more meaningful discussions during the program. Your active participation will lead to a beneficial and successful program.

Serial 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 61729 Dr S Maharasi Female Sri Parasakthi College for Women Assistant professor Holy Cross College 2009 07/06/2017
2 62109 Mrs. Sankari Alias Deepa Female Rajapalayam Rajus' College Assistant Professor A.K.D.D.R womens college 2015  
3 62110 Mrs M Kavitha Sasva Female Rajapalayam Rajus' College Assistant Professor Anamalai university 2004  
4 62443 Dr Kamalakkannan R Male SRM Institute of Science and Technology Kattankulathur Campus Assistant Professor RIASM, University of Madras 2014 25/05/2022
5 62445 Dr Celine Prabha Female SRM Institute of Science and Technology Assistant Professor St Joseph's College 2012 10/09/2019
6 62446 Mrs M Vinitha Female Dr.N.G.P. Arts and Science College Assistatnt Professor Dr.N.G.P. Arts and Science College 2018  
7 62448 Dr Kannaki S Female Dr.N.G.P. Arts and Science College Assistatnt Professor Sri Meenakshi Government College for Women 2005 14/08/2019
8 62682 Dr. Bharanedhar S V Male Central University of Tamil Nadu Assistant Professor Ayya Nadar Janaki Ammal College 2008 18/07/2014
9 62683 Dr. Kavaskar T Male Central University of Tamil Nadu Assistant Professor Annamalai University 2005 06/08/2011
10 62891 Mr. Muniyasamy M Male National Institute of Technology Karnataka PhD Student M.Sc 2019  
11 62912 Dr. Radhakrishnan Mohanasundaram Male SRM University AP Assistant Professor Ramanujan Institute for Advanced Study in Mathematics, University of Madras 2011 19/10/2020
12 62957 Ms T. Muthumari Female Sri Kaliswari College (Autonomous) Assistant professor SFR College for Women, Sivakasi 2024  
13 63134 Dr(Mrs) Sumathi Ramar Female Government arts and science college Guest lecture M. Sc 2005 19/03/2012
14 63549 Dr. Chitra Ganesan Female Kalasalingam Academy of Research and Education Assistant Profesor S.F.R.College for Women, Sivakasi 2005 06/05/2021
15 63727 Dr Selvi Sellappan Female N.K. R. GOVERNMENT ARTS COLLEGE FOR WOMEN Assistant Professor Periyar university, Salem 2001 11/04/2013
16 63857 Mrs Rathivel Manimaran Female Raja Doraisingam Government Arts College Phd Madurai sivakasi nadars pioneer meenakshi Womens college 2015  
17 63869 Mrs Ananthi K Female Sree Sowdambika College of Engineering Assistant professor V V Vannia perumal college for women 2009  
18 63908 Mr Marikannan G Male Lakshmi Ammal Polytechnic College Lecturer M.Sc 2016  
19 63929 Dr. Muthukani Of The Vairavel T Male Kalasalingam Academy of Research and Education Assistant Professor Bharathidasan University 2004 06/09/2021
20 64165 Dr. Poongothai K Female Guru Nanak College Assistant Professor M.Sc - Ramanujan Institute for Advanced Study in Mathematics, UNiversity of Madras 2014 08/02/2024
21 64328 Mrs Umadevi P Female Mahatma Gandhi Memorial College Assistant professor Madurai Kamaraj University 2003  
22 64369 Mr. Sivabalan S Male National Engineering College, Kovilpatti-628503 Assistant Professor Ayya Nadar Janaki Ammal College, Sivakasi 2016  
23 64508 Mrs Kaliswari P Female Rajapalayam Rajus' college Asst.prof Madurai Kamaraj University 2012  
24 64540 Dr. Sangeetha G Female Ayya Nadar Janaki Ammal College Sivakasi Assistant Professor Ayya Nadar Janaki Ammal College 2012 13/04/2018
25 64600 Prof B Jagadeeswari Mphil Female A.K.D. Dharma Raja Women's College, Assistant Professor SRNM COLLEGE, SATTUR 2013  
26 64610 Ms. Ashwini J Female V.V.Vanniaperumal College for Women, Virudhunagar Assistant Professor of Mathematics M.Sc. 2014  
27 64641 Ms. Malathi Nagarajan Female V.V.Vanniaperumal College for Women, Virudhunagar Assistant Professor V.V.Vanniaperumal College for Women, Virudhunagar 2018  
28 64702 Lt. Gajendran P Male PSG Institute of Technology and Applied Research Assistant Professor Bharathidasan University 2008  
29 64759 Dr.Mrs. Aditya Rp Female V.V.Vanniaperumal College for Women Assistant Professor The American College, Madurai 2010 31/08/2018
30 64869 Mr. M Madhavan Male Thiagarajar college Assistant Professor Bharathidasan University 2013  
31 64891 Dr Rajeshwari S. Female Bangalore Institute of Technology Assistant Professor Bangalore University 2008 14/03/2017
32 64930 Dr Poornima T Female Vellore Institute of Technology ,Vellore Associate Professor M.Sc 2005 06/03/2014
33 64941 Dr Vinothkumar K Male Malla Reddy Engineering College Assistant Professor Madurai Kamaraj University 2014 22/04/2024
34 64820 Dr S. Kohila Senthil Kumar Female V.V.Vanniaperumal College For Women Assistant Professor M.Sc 2008 13/06/2022
35 63856 Ms. Deepshika A Female Ayya Nadar Janaki Ammal College Full Time Ph.D. Research Scholar Ayya Nadar Janaki Ammal College, Sivakasi 2022  
Waiting List candidates
1 64003 Dr Gayathri A Female Sri Paramakalyani College Asst.prof Govindammal Aditanar College Tiruchendur 2015 29/04/2024
2 64547 Dr Antony Raj Male Don Bosco College(Co-Ed), Yelagiri Hills Head and Assistant Professor M.Sc., 2014 12/03/2020
3 65157 Mr. Gokulakrishnan S Male Rathinam College of Arts and Science Assistant professor M.Sc 2024  
4 64971 Dr. Sateesh Kumar T V Male Sri Ramachandra Institute of Higher Education and Research Assistant Professor Bharathiar University, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, M.Sc. 2015 13/09/2023
5 63971 Mr. Yuvaraj A Male Thiruvalluvar University. PhD THIRUVALLUVAR UNIVERSITY, VELLORE -632115. 2023  
6 62168 Dr. Mayavel P Male Vel Tech Rangarajan Dr.Sagunthala R&D Institute of Science and Technology Asst. Prof. Bharathidasan University 2013 23/05/2024
7 63846 Ms Priya S Female M.Kumarasamy college of engineering Assistant professor Bharathidasan university 2017  
8 64454 Dr Gurubaran Chandran Male Jamal Mohamed College Asst. Professor M.Sc 2013 25/09/2019
9 62155 Dr. Prabakaran K Male SRM Institute of Science and Technology, Kattankulathur Assistant Professor MIT Campus, Anna University 2009 24/09/2018
10 62185 Dr Sivakumar Narsu Male SRM Institute of Science and Technology Assistant Professor Sri Venkateswara University 2011 21/12/2018

 

 

 

 

 

How to Reach: 

TBA

School Short Name: 

acant

Last Date Application: 

Monday, August 15, 2022

School Type: 

TEW

Separate faculty form: 

0