Algebra, Number Theory and Graph Theory (2022)

Convener(s)

 
Name: Prof. K. Srinivas Dr. Sunita Kumawat
Mailing Address: IMSc, CIT Campus, Taramani
Chennai, 600113, TN, India		 Department of Applied Mathematics,
Amity School of Applied Sciences,
Amity University Gurugram, Manesar, Haryana- 122413
Email: srini at imsc.res.in ksunita86 at gmail.com

The Teachers’ Enrichment Workshop is conducted by the National Centre 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 programme intends to develop some basic concepts in Algebra, Number theory and Graph 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.

Dates: 

Monday, July 4, 2022 - 19:00 to Saturday, July 16, 2022 - 19:00

Venue: 

Venue Address: 

Department of Applied Mathematics,
Amity School of Applied Sciences,
Amity University Gurugram, Manesar, Haryana- 122413

Venue State: 

Venue City: 

PIN: 

122413

Chrono Order: 

363

Syllabus: 

Name of the Speaker
with affiliation

No. of Lectures

Title

Detailed Syllabus

 Prof.Jugal K.Verma
(JKV)

5 lectures
(90 minutes each)

 Algebra

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

 Prof.Srinivas Kotyada
(KS)

 5 lectures
(90 minutes each)

Number Theory

Summation formulas, average order of various arithmetical functions, Theorems of Fermat and Euler, primitive roots

 Prof.Om Prakash
(OP)

 5 lectures
(90 minutes each)

Abstract Algebra

Group actions and some applications: the orbit-stabilizer formula,class equation, the Sylow theorems.

 Prof.B.S.Panda
(BS)

 5 lectures
(90 minutes each)

Graphs and Algorithms

Graph Representation: Adjacency Matrix, Incidence Matrix and Adjacency List,  Graph Searching: BFS and DFS; finding connected components, testing for bipartite graphs, finding cycles in graphs;
Trees:Characterizations; MST algorithms; Distance in Graphs:Algorithms for Single source shortest path problem and all pairs shortest path problem; Matching in Graphs:Bipartite Matching.

References:

  1. Joseph Gallian, Contemporary Abstract Algebra.

  2. Tom M Apostol, Introduction to Analytic NumberTheory.

  3. M.Artin, Algebra, Second Edition

  4. Douglas B.West, Introduction to Graph Theory.

NOTE:(Lecture notes and PPT from the speakers, if available)

Name of the Speakers

S.No.

Name

Affiliation

E-1

Prof. Jugal K.Verma (JKV)

IIT Bombay

E-2

Prof. Srinivas Kotyada (KS)

IMSC Chennai

E-3

Prof. Om Prakash (OP)

IIT Patna

E-4

Prof. B.S.Panda (BS)

IIT,Delhi

 

Name of the Tutor

S.No.

Name

Affiliation

T-1

Dr. Sunita Kumawat (SK)

Amity University
Haryana, Gurugram

T-2

Dr. Ritu Aggarwal (RA)

MNIT, Jaipur

Time Table: 

Week-1 of the TEW  (04th–9thJuly 2022)

 

 

Lecture-1&2

Lecture-3&4

Lecture-5&6

Lecture-7&8

Lecture-9&10

Tutorial-1&2

Day

Monday

Tuesday

Wednesday

Thursday

Friday

Saturday

Date

4 July

5 July

6 July

7 July

8 July

9 July

Time (pm)

5:00-6:30

5:00-6:30

5:00-6:30

5:00-6:30

5:00-6:30

5:00-6:30

Speaker

KS

KS

KS

KS

KS

KS+RA+SK

Time (pm)

7:00-8:30

7:00-8:30

7:00-8:30

7:00-8:30

7:00-8:30

7:00-8:30

Speaker

OP

OP

OP

OP

OP

OP+RA+SK

 

 Week-2 of the TEW (11th–16thJuly,2022)

 

 

Lecture-11&12

Lecture-13&14

Lecture-15&16

Lecture-17&18

Lecture-19&20

Tutorial-3&4

Day

Monday

Tuesday

Wednesday

Thursday

Friday

Saturday

Date

11 July

12 July

13 July

14 July

15 July

16 July

Time (pm)

4:00-5:30

4:00-5:30

4:00-5:30

4:00-5:30

4:00-5:30

4:00-5:30

Speaker

JKV

JKV

JKV

JKV

BS

JKV +RA+SK

Time (pm)

6:00-7:30

6:00-7:30

6:00-7:30

6:00-7:30

6:00-7:30

6:00-7:30

Speaker

BS

BS

BS

JKV

BS

BS+RA+SK

 

 

Selected Applicants: 

 TEWs are meant only for the local teachers and are selected mainly from the NCR region and nearby states. In this workshop full attendance is necessary for a participation certificate. Attending the workshop on all days is mandatory for selected participants. They need to be punctual and fill the feedback forms shared during the sessions only. A certificate will be issued to all the selected participants with full attendance only. All registered participants can also attend the YouTube live streaming sessions available for all the lectures on the shared zoom link.

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. Dg. Date
1 32930 Mr. Gaurav Tyagi Male M M Degree College Assistant Professor C C S University, Meerut 2009  
2 32991 Dr. Aisha Jabeen Female Jamia Millia Islamia Post doctoral fellow aligarh muslim university 2011  
3 33052 Dr. Sarita Agarwal Female Acharya Narendra Dev College Assistant Professor I.P.College(D.U) 1986 16/09/2000
4 33836 Dr. Sunil Kumar Male Govt. College for Girls Assistant Professor Kurujshetra University, Kurukshetra 2003  
5 33993 Dr. Alok Kumar Gahlot Male Teerthankar Mahaveer University Asso. Prof. KUMAUN UNIVERSITY NAINITAL/R.H. GOVT. PF COLLEGE KASHIPUR 2005 01/08/2011
6 34003 Dr Antony Puthussery Male CHRIST (Deemed to be University), Delhi-NCR Campus Assistant Professor Christ University 2012  
7 34087 Mr. Kapish Chand Meena Male SAG, DRDO Scientist ‘B’ University of Rajasthan, Jaipur 2018  
8 34126 Ms. Sakshi Gupta Female Amity University Haryana PhD Thapar University, Patiala 2009  
9 39199 Mr Bajarang Lala Pawar Male RMD Sinhgad School Of Engineering Warje, Pune. Asst. Prof. Savitribai Phule Pune University, Pune. 2019  
10 39324 Ms. Meena Joshi Female S. S. J. Campus, Almora Uttrakhand (India) Assistant Professor Kumaun University 2015  
11 39407 Dr. Dinesh Tripathi Male Manav Rachna University Asso. Prof. M.Sc 2007 30/01/2017
12 39653 Dr. Lakhveer Kaur Female Jaypee Institute of Information Technology Assistant Professor(Senior Grade) Panjab University 2008 12/11/2013
13 39708 Mrs. Reena Antal Female Chandigarh University, Mohali Asst. Prof. M.Sc(Hons) Mathematics 2005  
14 40176 Dr. Ram Kumar Male Amity University Gwalior Assistant Professor Banaras Hindu University 2013 20/06/2020
15 40336 Mr Arabinda Pandab Male PATTAMUNDAI COLLEGE LECTURER IN MATHEMATICS UTKAL UNIVERSITY, VANI VIHAR 1996  
16 40365 Mr. Sachin Kumar Male CBIT Hyderabad Asst. Professor NITT 2016  
17 40393 Dr. Seema Thakran Female The NorthCap University Gurugram Assistant Professor on Selection grade Delhi University 2005 07/06/2015
18 40406 Dr. Rajanish Kumar Rai Male Jaypee Institute of Information Technology, Noida Assistant Professor M.Sc. Banaras Hindu University, Varanasi India 2014 19/02/2020
19 40419 Dr. Sumana Pal Female Aliah Universiy Associate Professor University of Calcutta 1999 20/05/2019
20 40682 Dr. Krishna Pada Das Male Mahadevananda Mahavidyalaya Assistant Professor UNIVERSITY OF CALCUTTA 2006 21/09/2011
21 40710 Mr Sameer Ahmad Gupkari Male JKIMS Assistant Professor University of Kashmir 2003  
22 40726 Mr. Kashyap Ghanashyambhai Rachchh Male Government Arts & Science College, Harij Assi. Professor Sardar Patel University 2018  
23 40863 Dr Navneet Lal Sharma Male Amity University Haryana Assistant Professor C. C. S. University, Meerut 2008 15/04/2016
24 40867 Ms. Swati Yadav Female Galgotias University Asst. Prof. Lucknow University 2015 24/12/2020
25 40876 Dr. Ahmed Mohammed Male Sphoorthy Engineering College, Hyderabad Assistant Professor National Institute of Technology -Warangal. 2013 13/11/2017
26 40892 Dr. Priya Das Female NIT Calicut Ad-hoc Faculty University of Hyderabad 2010 11/07/2018
27 40910 Mr. Indra Bate Male Institute of Mathematics and Applications Assistant Professor IIT Kanpur 2016  
28 40918 Dr. Avinoy Paul Male Cachar College Assistant Professor Gauhati University 2004 01/07/2014
29 40930 Mrs Niza N Female TKM College of Arts & Science, Kollam Assistant Professor University of Kerala 2013  
30 40933 Dr Sajad Hussain Ahangar Male Government Degree College Shopian Kashmir Assistant Professor University of Kashmir Srinagar 2007 26/06/2016
31 40947 Mr Mohamed Azarudeen Male C. ABDUL HAKEEM COLLEGE Assistant Professor M.Sc. 2014  
32 40956 Dr Dimple Singh Thakran Female Amity University Haryana Assistant Professor MSc in Mathematics 2001 01/07/2013
33 40998 Dr Sarika Jain Female Amity University Assistant Professor M.Sc 2007 03/11/2018
34 41001 Dr. Ajay Sharma Male Dr. K. N. Modi University Asso. Prof. UOR JAIPUR 2009 31/03/2018
35 41022 Dr. Shikha Maheshwari Female Chandigarh University Assistant Professor CCS 2008 09/11/2017
36 41038 Dr. Bhagawati Prsad Joshi Male Seemant Institute of Technology Assistant Professor G.B. Pant University of Agriculture and Technology Pantnagar 2009 15/04/2015
37 41063 Dr. Kamlesh Kumar Dubey Male Invertis University, Bareilly Associate Professor University of Allahabad, Allahabad 2002 28/08/1978
38 41075 Mr. Satish Thadani Male SAGE UNIVERSITY INDORE Asst. Prof. DAVV, INDORE 2006  
39 41090 Dr Deepak Grover Male SRM University Delhi NCR Sonepat Assistant Professor Guru Jambheshwer University, Hisar 2006 28/03/2014
40 41130 Dr Vijay Kumar Yadav Male Amity University Haryana Assistant Professor Dr RMLAU Ayodhya UP 2012 04/04/2017
41 41163 Ms Prity Kumari Female National Institute of Technology Arunachal Pradesh PhD Student National Institute of Technology Arunachal Pradesh, Jote 2018  
42 41199 Dr Nitakshi Goyal Female Akal Degree College, Mastuana Assistant Professor Punjabi University, Patiala 2012 14/02/2020
43 41204 Prof. Minal Sanjivebhai Shukla Female Marwadi University Assistant Professor Saurashtra University 2011 20/01/2018
44 41212 Dr. Mamta Amol Wagh Female DEEN DAYAL UPADHYAYA COLLEGE, UNIVERSITY OF DELHI ASSISTANT PROFESSOR Institute of Basic Sciences, Dr. B. R. Ambedkar University, Agra 2007 30/09/2015
45 41217 Dr. Sudeshna Ghosh Female Amity University Haryana Associate Professor IIT, Kanpur 1997 04/05/2013
46 41245 Dr Gaurav Kumar Male GDC Paloura, Jammu City Assistant Professor University of Jammu 2011 29/12/2017
47 41250 Dr Kamal Kumar Male Amity University Haryana Assistant Professor GKV Haridwar 2014  
48 41304 Dr. Kuldeep Prakash Male Government Polytechnic Jakhanidhar Lecturer HNBGU 2009 24/10/2018
49 41322 Ms. Ishrat Jahan Md.Haroon Ansari Female M.C.E. Society's Abeda Inamdar Senior College Asst. Professor SAVITRIBAI PHULE PUNE UNIVERSITY DEPARTMENT OF MATHEMATICS 2007  
50 41392 Mr Bindumadhaba Mohanty Male Radhakrishna Institute of Technology and Engineering Assistant Professor Sambalpur university 2014  

 

 

How to Reach: 

Online Mode

School Short Name: 

antgt

Last Date Application: 

Wednesday, April 15, 2020

School Type: 

TEW

Separate faculty form: 

0