Algebra and Number Theory (2024)

Convener(s)

 
Name:  Prof. K . Srinivas Dr. A. Satyanarayana Reddy
Mailing Address: IMSc, CIT Campus,
Taramani, Chennai,   
TN-600113, India		 NH 91, Tehsil Dadri,
Gautam Buddha Nagar,
UP-201314
Email: srini at imsc.res.in satya.a at snu.edu.in

The Teachers’ Enrichment Workshop is conducted by the National Center for Mathematics (NCM) to introduce college mathematics teachers to interesting topics in the basic subjects they teach at graduation or post-graduation level. This workshop is basically aimed at teachers of different colleges and Universities of NCR. Interested teachers from other regions may also apply. The program intends to develop some basic concepts in Algebra, Number theory  in a leisurely way. The lectures will be interactive. Main focus will be on developing problem solving skills. The participants are expected to work hard and derive maximum benefit from this workshop.

Please note that TEW is meant only for the local college teachers. The lectures in this workshop covers specific topics which are relevant for the teachers' classroom instructions. The usual length of the TEW is 5/6 days.  An important component of this programme is the discussion hour during which the teachers will have opportunities to get their doubts cleared.   

Dates: 

Monday, February 5, 2024 - 19:00 to Saturday, February 10, 2024 - 19:00

Venue: 

Venue Address: 

Shiv Nadar Institution of Eminence                                           
NH 91, Tehsil Dadri,
Gautam Buddha Nagar
 UP-201314                                         

Venue State: 

Venue City: 

PIN: 

201314

Chrono Order: 

472

Syllabus: 

Syllabus:

Name of the Speaker with affiliation

No. of Lectures

Detailed Syllabus

P Srinivas, IMSc Chennai

6

Divisibility, fundamental theorem of arithmetic, Euclidean algorithm, prime numbers, averages of arithmetic functions.

Amber Habib,

Shiv Nadar instittution of Eminence

4

Geometric properties of matrix groups: SO(3), SU(2), O(n) and SO(n).

 Prof. Geetha Venkataraman,
Dr. B. R. Ambedkar University Delhi

4

Proof of Sylow's Theorems and Cauchy's Theorem using group actions,

review of external, internal and semi direct products, groups of order pq, review of fundamental Theorem of finite abelian groups, p-groups, nilpotent groups, solvable groups, groups of certain order that have to be solvable, simple groups, the smallest insolvable group is A_5.

A. Satyanarayana Reddy,

Shiv Nadar Institution of Eminence

4

Basic definitions and examples of Rings, subrings, ideals, UFD, PID, ED, Polynomial rings, Number of units, zero divisors, nilpotent elements, irreducible, reducible and primes elements in the ring Z_n, Finite fields, Discrete valuation rings.

 

References:

  1. Introduction to analytic number theory by Tom M. Apostol.
  2. M. Artin, Algebra, Second Edition
  3. Joseph Gallian, Contemporary Abstract Algebra.
  4. Abstract Algebra by David S. Dummit and Richard M. Foote.

 Name of the tutors:

 

S. No.

Name

Affiliation

1

Ms. Khyati Sharma

Shiv Nadar Institution of Eminence

2

Mr. Shrinit Singh

Shiv Nadar Institution of Eminence

3

Ms. Kavita Samant

Shiv Nadar Institution of Eminence

Time Table: 

 

 

Day

Date

Lecture 1

(9.30–11:00)

Tea

(11:00-11:15)

Lecturer 2

(11.15–12.45)

 

Lunch

(12.45 – 2.00)

Lecture 3

(2.00-3.30)

Tea

(3.30 -3.45)

Discussion

(3:45-4:45)

Snacks

(4.45 – 5.00)

Mon

5th Feb

KS

 

AH

  

 

ASR

 

KS+KS1+ KS2

 

Tue

6th Feb

KS

 

AH

 

 

ASR

 

AH+KS1+SS

 

Wed

7th Feb

KS

 

GV

 

 

ASR

 

GV+KS1+SS

 

Thu

8th Feb

KS

 

GV

 

 

AH

 

KS+KS1+ KS2

 

Fri

9th Feb

KS

 

GV

 

 

AH

 

GV+KS2+SS

 

Sat

10th Feb

KS

 

GV

 

 

ASR

 

ASR+KS2+SS

 

 

Full forms for the abbreviations of speakers and tutors:

 Speakers:
KS: K. Srinivas,
AH: Amber Habib,
GV: Geetha Venkataraman
ASR: A. Satyanarayana Reddy

Tutors:
KS1: Khyati Sharma
SS: Shrinit Singh
KS2: Kavita Samant

 

 

 

Selected Applicants: 

 

sr.n 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 53895 Dr Sajad Hussain Ahangar Male Amar Singh College, Cluster University Srinagar Assistant Professor University of Kashmir Srinagar 2008 27/06/2016
2 53898 Ms Akspreet Kaur Female Army public school Teacher Khalsa college 2019  
3 53900 Dr. Muneer Nabi Male Chandigarh University, Mohali Assistant Professor Jamia Millia Islamia /M.Sc. 2015 21/06/2023
4 53901 Dr Sakeena Bano Female Govt. Hr. Sec. School Gosh Bugh Pattan Cluster Resourse Coordinator Jamia Millia Islamia /M.Sc. 2014 21/06/2023
5 53920 Dr. Shailendra Kumar Bharati Male D.A.V. PG COLLEGE, AZAMGARH UP ASSISTANT PROFESSOR B.H.U. VARANASI 2010 31/12/2015
6 53923 Dr. Kush Kumar Mishra Male Government Degree College Manikpur, Chitrakoot Assistant Professor University of Allahabad, Prayagraj 2015 06/10/2023
7 53925 Ms. Nahida Majeed Wani Female AMITY UNIVERSITY GWALIOR PhD KASHMIR UNIVERSITY 2018  
8 53927 Ms. Neetu Chanania Female National Institute of Technology Surathkal Karnataka PhD IIT Madras 2019  
9 53947 Mr. Kapil Kumar Male Mihir Bhoj PG College Dadri Gautam Buddha Nagar Assistant Professor IIT Madras 2015  
10 53997 Mr. Subham De Male Indian Institute of Technology, Delhi Graduate Student IIT Delhi Appeared  
11 54024 Ms. Nevya Venkateswarl Daari Female Parul University Asst.Professor Vnsgu 2015  
12 54027 Mr Naman Kumawat Male Central University Of Rajasthan Int. M.Sc. B.Ed. Student Central University Of Rajasthan Appeared  
13 54035 Ms. Vaishnavi K Kumar Female Anna university M.Sc Anna university 2019  
14 54039 Ms Bhavadharani K Female The gandhigram rural institute-Deemed University MSc student The Gandhigram rural institute-Deed university 2018  
15 54046 Ms Mitashree Behera Female SAMBALPUR UNIVERSITY PhD Utkal University 2019  
16 54048 Mr. Akash Meher Male Sambalpur University, Jyoti Vihar, sambalpur, Odisha, India PhD Sambalpur University 2019  
17 54065 Dr. Vipul Snehi Male University Department of Mathematics Asst. Prof IIT Bombay 2013 29/08/2023
18 54077 Mr Kaustav Chatterjee Male Indian Institute of Technology Patna Research scholar Calcutta University 2019  
19 54083 Mr. Kapish Chand Meena Male Scientific Analysis Group, DRDO Scientist ‘B’ University of Rajasthan, Jaipur 2018  
20 54086 Dr. Ram Krishan Male Govt. Degree College Kathua Lecturer M.Sc. Mathematics 2011 05/05/2019
21 54087 Dr. Kamlesh Kumar Dubey Male Invertis University, Bareilly Assoc. Prof. M Sc from University of Allahabad 2002 26/08/2006
22 54095 Mrs Neelam Kanwar Female Central University Of Rajasthan Msc Bed Student CENTRAL UNIVERSITY OF RAJASTHAN Appeared  
23 54103 Mr. Sourav Mandal Male Ramakrishna Mission Vivekananda Educational and Research Institute MSc Student /RKMVERI Ramakrishna Mission Vivekananda Educational and Research Institute    
24 54104 Ms Muskan Gupta Female University of Allahabad Msc Student University of Allahabad 2022  
25 54114 Dr. Sonu Rani Female Rajiv Gandhi Govt College for Women Assistant professor MSc MDU Rohtak 2011 20/10/2021
26 54118 Ms. Sneha Sneha Female South asian university MSc Student South asian university    
27 54121 Dr. Gunjan Khurana Female I. P. College for Women Associate Professor University of Delhi 2007 20/11/2018
28 54122 Dr. Manisha Saini Female Hansraj College, University of Delhi Assistant Professor University of Delhi/ M.Sc. Mathematics 2012 11/04/2022
29 54124 Mr. Shiv Shankar Jha Male University of Delhi Msc student University of Delhi    
30 54132 Dr Sankara Subramanian R S Male PSG Institute of Technology and Applied Research Professor Thiagarajar College of Engineering, MKU 1999 30/10/2009
31 54164 Mr. Ashutosh Pandey Male Manipal University Jaipur Assistant Professor Iiser bhopal 2017 20/12/2023
32 54166 Dr. Leena Jindal Female Maitreyi College Asst. Prof. (Guest Faculty) IISER Mohali 2015 09/08/2021
33 54167 Dr Lubna Wali Shah Female Central University of Kashmir Asst.Prof University of Kashmir 2012 08/01/2018
34 54174 Ms Sumandeep Kaur Female Panjab university PhD S.C.D. Govt. college ludhiana 2018 30/12/2023
35 54179 Dr. Manish Raghav Male Banasthali Vidyapith Assistant Professor Dr. Bhim Rao Ambedkar University 2004 17/12/2019
36 54184 Dr. Arpit Kansal Male Maitreyi College, University of Delhi Ass. Prof. (Guest) Chennai Mathematical Institute, Chennai 2016 09/05/2023
37 54187 Mr. Krishan Sharma Male GCW Gurawara, Rewari Assistant Professor IIT Delhi 2016  
38 54188 Mr. Dipesh Meena Male Central University Of Rajasthan INT. M.SC. B.ED. STUDENT Central University Of Rajasthan Appeared  
39 54129 Dr Jitendra Kumar Male Swami Vivekanand Subharti University, Meerut Associate Professor C.C.S. University, Meerut 2006 16/02/2016
40 54185 Mr. Surender Kumar Male IIT Bhilai PHD Scholar KURUKSHETRA UNIVERSITY 2018  
41 54246 Dr Raksha Verma Female Hansraj college Assistant Professor Rajasthan univ. jaipur 2006  
42 54241 Mr Jitendra Kumar Male Shanti devi government college jewar Gautam Buddh Nagar Assistant Professor Ccsu Meerut 2019  

 

 

How to Reach: 

TBA

School Short Name: 

ant

Last Date Application: 

Monday, August 15, 2022

School Type: 

TEW

Separate faculty form: 

0