Algebra (2022)

Convener(s)

 
Name: Krishna Hanumanthu 
(Associate Professor)		 Manoj Kummini 
(Associate Professor)
Mailing Address: Chennai Mathematical Institute, Tamilnadu

Chennai Mathematical Institute, Tamilnadu
Email: krishna at cmi.ac.in mkummini at cmi.ac.in

This Instructional School for Teachers will discuss the topics from linear algebra, group theory, ring theory and field theory, primarily using the book Algebra by M. Artin.

Dates: 

Monday, December 5, 2022 - 09:00 to Saturday, December 17, 2022 - 18:30

Venue: 

Venue Address: 

Chennai Mathematical Institute,
H1 SIPCOT IT Park Siruseri,
Kelambakkam Tamilnadu 603 103.

Venue State: 

Venue City: 

PIN: 

603103

Chrono Order: 

415

Syllabus: 

Syllabus: (Each speaker is required to deliver minimum 6 lectures).

Speaker and affiliation

Number of Lectures

Detailed Syllabus

Manoj Kummini

CMI

6

Vector spaces, bases and dimension, linear trans- formations and matrices, linear operators, eigen- values, characterstic polynomials.

Clare D’Cruz

CMI

3

Groups: subgroups, cyclic groups, homomor- phisms, cosets, modular arithmetic.

Purusottam Rath

CMI

3

Groups : product groups, normal subgroups, quo- tient groups, symmetric group, symmetries of plane figures.

Krishna Hanumanthu

CMI

6

Ring theory: polynomial rings, prime and maxi- mal ideals, homomorphisms, quotient rings, eu- clidean domains, UFDs.

Sukhendu Mehrotra

CMI

6

Fields: examples of fields, algebraic elements, de- gree of field extensions, ruler and compass con- structions, algebrically closed fields and algebraic closure, adjoining roots and splitting fields, finite fields.

References

  • [Art91] M. Artin. Algebra. Prentice Hall, Inc., Englewood Cliffs, NJ, 1991.

  • [Lau03] N. Lauritzen. Concrete Abstract Algebra. Cambridge University Press, 2003

 

Time Table: 

 Time-Table (with names of speakers and course associates/tutors):

Day Date Lecture 1
9.30–11.00		 Tea Lecture
2 11.30–1.00		 Lunch Tutorial
2.30–3.30		 Tea Tutorial
4.00-5.00		 Snacks
Mon 05/12/2022 MK   CD   MK+2   CD+2  
Tue 06/12/2022 MK   CD   MK+2   CD+2  
Wed 07/12/2022 MK   CD   MK+2   CD+2  
Thu 08/12/2022 MK   PR   MK+2   PR+2  
Fri 09/12/2022 MK   PR   MK+2   PR+2  
Sat 10/12/2022 MK   PR   MK+2   PR+2  
Mon 05/12/2022 KH   SM   KH+2   SM+2  
Tue 06/12/2022 KH   SM   KH+2   SM+2  
Wed 07/12/2022 KH   SM   KH+2   SM+2  
Thu 08/12/2022 KH   SM   KH+2   SM+2  
Fri 09/12/2022 KH   SM   KH+2   SM+2  
Sat 10/12/2022 KH   SM   KH+2   SM+2  

  CD: Clare D’Cruz; KH : Krishna Hanumanthu; MK: Manoj Kummini; SM: Sukhendu Mehrotra; PR: Purusottam Rath.

Tutorial Assistants:

S. No. Name Affiliation
1 Arkadev Ghosh CMI
2 Suhita Hazra CMI
3 Cyril Jacob CMI
4 Nirmal Kotal CMI
5 Snehajit Misra CMI
6 Nabanita Ray CMI
7 Dharm Veer CMI
8 TBD -

Selected Applicants: 

Arrival date:   Sunday 2022-Dec-04
Departure date: Sunday 2022-Dec-18

Sr.n SID Full Name Gender Affiliation
 Position in College/ University Univ/ Inst. M.Sc./ M.A. Year of Passing M.Sc./ M.A Ph.D. Deg. Date
1 43850 Mr. Deepak Male IIT BHILAI MSc Student IIT BHILAI Appeared  
2 43858 Ms. Thulasi K R Female Pondicherry University PhD Student Pondicherry University 2017  
3 43873 Mr. Apurba Sarkar Male VISVA - BHARATI PhD STUDENT VISVA- BHARATI 2019  
4 43909 Mr Saravanakumar Dhanabal Male MSS Wakf Board College, Madurai Assistant Professor Madurai Kamaraj University 2006 20/01/2015
5 43929 Ms Mythily Varadharajan Female Bharathiar University PG Extension and Research Centre PhD., Research Scholar PKR Arts College for Women 2018  
6 43947 Mr. Ujjal Timshina Male Sikkim University MSc Student Sikkim University Appeared  
7 43979 Ms. Pooja Gupta Female National Institute of Technology Jamshedpur PhD Guru Ghasidas Central University, Chhattisgarh 2015  
8 44000 Mr. Anand D Male Madras Institute of Technology Anna univ PhD Dwaraka Doss Goverdhan Doss Vaishnav Arts and Science College 2016 05/01/2021
9 44006 Dr Dr Baby Smitha K.M Female D.B college Assistant professor M.Sc 2004 03/09/2019
10 44012 Mr. Rahul Arora Male Guru Nanak Institute of Management and Technology Assistant Professor S.C.D GOVERNMENT COLLEGE 2008  
11 44054 Ms. Anuvinda J Female SRM University-AP, Andhra Pradesh Ph.D Scholar Mahatma Gandhi University, Kerala 2020  
12 44067 Mr Kalikambar Gnanaprakasam Male Mohammed sathak college of arts and science Assistant Professsor University of Madras/ D.B.jain college 2015  
13 44076 Mrs M Rahamathunisha Male Bharathidasan university Assistant Professsor Bharathidasan university 2007 11/07/2020
14 44357 Mr. Mohammad Fareed Ahmad Male Aligarh Muslim University PHD Aligarh Muslim University 2016  
15 44599 Dr Geno Kadwin J Male Loyola college Assistant professor Bharathidasan university 2011 05/01/2018
16 44611 Ms Sagarika Dash Female Banki College Autonomous , Banki Lecturer Utkal University, Vani Vihar , Odisha 2020  
17 44627 Ms Meenu Sharma Female KSCSTE-Kerala School of Mathematics PhD Central University of Rajasthan, Rajasthan 2021  
18 44639 Mr. Subham De Male IIT DELHI MSc Student IIT DELHI    
19 44676 Mr. Subhendu Pramanick Male Kerala School of Mathematics Int. M.Sc-Ph.D student Kerala School of Mathematics Appeared  
20 44677 Mr. Shubham Jaiswal Male KSCSTE- Kerala School of Mathematics Integrated MSc- Phd KSCSTE-Kerala School of Mathematics Appeared  
21 44801 Mr. Thyagarajan M Male Agurchand Manmull Jain College Asst. Prof. Anna University, College of Engineering 2005  
22 44817 Mr Gnanam Mahesh Kalakaoi Male Agurchand Manmull Jain College Assistant Professor University of Madras 2013  
23 44832 Mr. Lingaraj Parida Male NIT Durgapur MSc. Student NIT Durgapur    
24 44833 Mr Pandiyaraj Elumalai Male Agurchand Manmull Jain College Assistant Professor University of Madras 2013  

 

 

 

 

How to Reach: 

See the following link for more informatio about how to reach the venue:

https://www.cmi.ac.in//contact/how-to-get-to-cmi.php

 

School Short Name: 

alg

Last Date Application: 

Sunday, October 23, 2022

School Type: 

IST

Separate faculty form: 

0