Algebra, Number Theory and Graph Theory (2022)

Venue:	Amity School of Applied Sciences, Gurugram, Haryana
Date:	4th, Jul 2022 to 16th, Jul 2022

School Convener(s)
Name	Prof. Srinivas Kotyada	Dr. Sunita Kumawat
Mailing Address	Professor H, Department of Mathematics, IMSC Chennai , Chennai	Associate Professor Department of Mathematics, Amity University Haryana, Gurugram

List of the actual speakers:

Name of the speaker	Position	Affiliation and address
Prof. Jugal Kumar Verma	Professor	IIT Bombay
Prof. Srinivas Kotyada	Professor	IMSC Chennai
Prof. Om Prakash	Professor	IIT Patna
Prof. B. S. Panda	Professor	IIT Delhi

List of the actual tutors:

Name of the tutor	Position	Affiliation and address
Dr. Sunita Kumawat	Associate Prof.	Amity University Haryana, Gurugram, India.
Jayakumar Ravindran	Research Fellow	IMSC Chennai

Syllabus:

Actual syllabus covered by each speaker:

Name of the Speaker	:	Detailed Syllabus
Prof. Jugal K. Verma		Geometric aspects of Matrix Group, Matrix Groups, Geometric Properties, Theorem: E. Carton-J Die dome, House Holder Matrix. Orthogonal group, Rank-Nulity Theorem, Special case of Carton’s Theorem, Euler's Theorem, Finite Subgroup, Contribution of rotation of R3 using unit quaternions, Important Theorem of Group Theory
Prof. Srinivas Kotyada		Number Theory: Riemann Integral, Euler's Summation Formula(ESF), Riemann Zeta- function, Fundamental Theorem of Arithmetic, Euler Product, Some important function: Mobius function, Euler's Totient, Divisor function, etc.), Euler's product, Riemann Hypothesis, Fermat's Theorem.
Prof. Om Orakash		Abstract Algebra, Group, Normal Subgroup, Abelian Group, Group of Symmetric, Algebra Theory- Group Action, Important Theorem for Homomorphism, Cayley's Theorem, Orbit- Stabilizer Theorem, Burnside's Lemma, Conjugate class, Conjugate relation, Cauchy's Theorem, Algebra: Double Cosets, Application of Sylow's Theorem, Linear Algebra, Algebraic Coding Theory, Sylow's Third Theorem
Prof. B. S. Panda		Graph Theory: Euler's solution, Graph, Stable Matching, Edge Type, Undirected graph, Simple graph, Bipartite graph, Complete Bipartite graph, subgraph, union of graph, incidence matrix, Graph-isomorphism, The O- Notation.

Time Table

Actual time-table that was followed during the programme:

Day	Date	Lecture 1	Tea	Lecture 2	L u n c h	Tutorial 1	Tea	Tutorial	Snacks (time)
		name of the speaker	Break	name of the speaker		name of the tutors		name of the tutors

		(abbreviation)		(abbreviation)		(abbreviation)		(abbreviation)
Mon	4-July	(5:00-6:30) KS	(6:30-7:00)	(7:00-8:30) OP
Tues	5-July	KS	Break	OP
Wed	6-July	KS	Break	OP
Thu	7-July	KS	Break	OP
Fri	8-July	KS	Break	OP
Sat	9-July	KS+JKR+SK	Break	OP+JKR+S K
Mon	11-July	(4:00-5:30) JKV	(5:30-6:00)	(6:00-7:30) BS
Tue	12-July	JKV	Break	BS
Wed	13-July	JKV	Break	BS
Thu	14-July	JKV	Break	JKV
Fri	15-July	BS	Break	BS
Sat	16-July	JKV +JKR+SK	Break	BS+JKR+S K

Full forms for the abbreviations of speakers and tutors:
Speakers
KS: Srinivas Kotyada
JKV: Jugal Kishore Verma
OP: Om Prakash
BS: Bhawani Sankar Panda
Tutors
SK: Sunita Kumawat
JKR: Jaya Kumar Ravichandran

List of actual Participants

Sr.n	SID	Full Name	Gender	Affiliation	Position in College/ Univ.	Univ / Inst M.Sc./ M.A.	Year of Passing M.Sc. / M.A	Ph.D. Deg. 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	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	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	2007
50	41392	Mr Bindumadhaba Mohanty	Male	Radhakrishna Institute of Technology and Engineering	Assistant Professor	Sambalpur university	2014

How to reach