Group Theory, Linear Algebra and Enumerative Combinatorics

Convener(s)


Name:	Dr. A. Satyanarayana Reddy	Dr. Chandru Hegde
Mailing Address:	Associate Professor NH 91, Tehsil Dadri, Gautam Buddha Nagar Shiv Nadar Institution of Eminence UP-201314.	Assistant Professor Department of Mathematics Mangalore University Mangalagangothri Karnataka 574199
Email:	satya.a at snu.edu.in	chandrugh at gmail.com

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 around Mangalore. Interested teachers from other regions may also apply. The program intends to develop some basic concepts in Group Theory, Linear Algebra and Enumerative Combinatorics 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, August 5, 2024 - 19:00 to Saturday, August 10, 2024 - 19:00

Venue:

Mangalore University

Venue Address:

Dr. Chandru Hegde
Assistant Professor Department of Mathematics
Mangalore University ,Mangalagangothri Karnataka 574199.

Venue State:

Karnataka

Venue City:

Manglore

PIN:

574199

Syllabus:

Name of the Speaker with affiliation

No. of Lectures

(1.5 hours each)

Detailed Syllabus

Dr.Anuj Jakhar IIT Madras

Basic definitions and examples of groups and homomorphisms, including cyclic, dihedral, permutation, alternating groups, and matrix groups. Subgroups, and the induced equivalence relations, quotient groups. Introduction to Group actions.

Dr. Chandru Hegde Mangalore University

Symmetry of plane figures, Isometries, Isometries of the plane, Finite groups of orthogonal operators on the plane. Group of symmetries of Platonic Solids. Few applications of groups in counting.

Prof.BR Shankar NITK Surathkal

Solving system of linear homogeneous and non-homogeneous equations, Vector spaces, Linear maps, Matrix representation of linear maps, Eigenvalues, Eigen vectors, Diagonalizability.

Dr.A.Satyanarayana Reddy,

Shiv Nadar Institution of Eminence

Basic principles of Counting: Pigeonhole principle, principle of inclusionand exclusion, permutations, binomial coefficients, bijections, Recurrence relations, Generating functions, Two way counting.

References:

Hoffman and Kunze,Linear algebra.
M.Artin, Algebra, Second Edition.
Joseph Gallian,Contemporary Abstract Algebra.
DavidS.Dummit and Richard M.Foote,Abstract Algebra.
Miklos Bona,A Walk Through Combinatorics.
Sheldon Axler,Linear Algebra Done Right.
D.I.A.Cohen, Basic Techniques of Combinatorial Theory, John Wiley and Sons,New York, 1978.

Name of the tutors:

S.No.	Name	Affiliation
1	Dr. Prasad H. M.	Assistant Professor,Department of Mathematics, SUIET, Mukka, Mangalore
2	Mr. Karthik K.	Research Scholar,Department of Mathematics, Mangalore University

Time Table:

Day	Date	Lecture1 (9.30–11:00)	Tea	Lecturer2 (11.15–12.45)	Lunch	Lecture3 (2.00-3.30)	Tea	Discussion/ Tutorial (3:45-4:45)	Snacks
Mon	05.08.2024	AJ		BRS		ASR		AJ,PHM,KK
Tue	06.08.2024	ASR		AJ		BRS		BRS,PHM,KK
Wed	07.08.2024	CH		BRS		AJ		ASR,PHM,KK
Thu	08.08.2024	AJ		ASR		CH		CH,PHM,KK
Fri	09.08.2024	AJ		CH		BRS		AJ,PHM,KK
Sat	10.08.2024	CH		BRS		ASR		BRS,PHM,KK

Full forms for the abbreviations of speakers and tutors:
Speakers: AJ: Anuj Jakhar
BRS: B R Shankar
ASR: A. Satyanarayana Reddy
CH: Chandru Hegde
Tutors:
PHM: Prasad H. M.
KK: Karthik K.

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	57975	Ms. Anandhi E	Female	Presidency college	Msc Student	Presidency college
2	57976	Ms. Ashma Panwar	Female	Deenbandhu Chhotu Ram University of science and technology	Msc student	Msc	Appeared
3	57984	Dr Shubha V S	Female	St Joseph Engineering College	Asst. Prof	Mangalore University	2007	9 Sep 16
4	57994	Mr Hariharan M	Male	Bharathiar University Pg Extension and Research Centre	PhD ( Full Time - Research Scholar)	Bharathiar University Pg Extension and Research Centre	2022
5	57996	Ms Jayasree A.S	Female	Bharathiar University PG extension and Research centre	PhD (Full time) Research Scholar	PSG college of Arts and Science Coimbatore	2022
6	57997	Ms Movis Chelcea Arockiasamy	Female	Bharathiar University PG Extension and Research Centre	Ph.D Full time Research Scholar	Bharathiar University Pg Extension And Research Centre	2022
7	57998	Ms Vasuki S	Female	Bharathiar University Pg Extension and Research Centre	PhD (Full Time) Research scholar	Bharathiar University Pg Extension and Research Centre	2021
8	58002	Mr Anand .	Male	Vidyavardhaka College of Engineering	Assistant Professor	M.Sc	2019
9	58011	Mr. Dipankar Maiti	Male	Babasaheb Bhimrao Ambedkar University	Msc student	Babasaheb Bhimrao Ambedkar University	Appeared
10	58026	Dr. Sujatha V Shet	Female	Dr. G Shankar Government Women's First Grade College and PG Study Center,	Associate Professor	Bharathidasan University	1998	10 Mar 21
11	58033	Mr. Madhu G U	Male	Atria Institute of Technology	Assistant Professor	Bangalore University	2022
12	58054	Dr Kiran Babu	Male	G.pulla Reddy engineering College Kurnool	Asst.professor	Sk university, ananthapur	2006	23 Mar 19
13	58073	Mr. Soumitra Chowdhury	Male	National Institute of Science and Technology University, Berhampur	Assistant Professor	IIT ISM DHANBAD	2016
14	58082	Dr Palanisamy Lakshmanan	Male	Srm Institute Of Science And Technology	Assistant Professor	Pondicherry University	2006	22 Dec 22
15	58109	Dr. Mohandas .	Male	Dr. PDP-PSP GFGC Carstreet Mangalore	Asst. Professor	Mangalore University	2008	13 May 17
16	58118	Dr. Gokilamani S	Female	Dr. N.G.P. Arts and Science College	Assistant Professor	P.S.G. College of Arts and Science M.Sc.	2008	6 Mar 24
17	58119	Mr Deepak Maria Singh	Male	Vellore Institute of Technology	PhD	Manonmaniam sundaranar University	2021
18	58120	Mr Pratheek Rai Rai	Male	St Philomena College Puttur	Assistant Professor	Mangalore University	2019
19	58121	Ms. Ashreetha K M	Female	Centre for PG studies and Research, St Philomena college Puttur	Assistant Professor	Mangalore University Konaje	2023
20	58155	Dr. Aakriti Sharma	Female	University of Jammu, J&K, India	Post doctoral Fellow	University of Jammu	2016	29 Mar 23
21	58157	Ms. Jeevitha K S	Female	St Philomena College, Centre for PG Studies and Research,Darbe, Puttur.	Assistant Professor	St Philomena College, Centre for PG Studies and Research,Darbe, Puttur.
22	58160	Dr Anish Kumar	Male	Patna Womens College	Asst. Prof	Central University of South Bihar	2018	21 Feb 24
23	58180	Lt. Gajendran P	Male	PSG Institute of Technology and Applied Research	Assistant Professor ( Selection Grade)	Bharathidasan University	2008
24	58184	Mr. Bubai Sou	Male	Visva-Bharati University	Msc Student	Visva-Bharati University	2024
25	58207	Mr. Janendra Banjare	Male	Maharshi Vedvyas Govt. P.G. College Bhakhara	Assistant Professor	Dr. Harisingh Gour Vishwavidyalaya Sagar,Madhyapra Desh	2016
26	58215	Mrs Uma Devi P	Female	Mahatma Gandhi memorial college	Assistant professor	Madurai Kamaraj University	2003
27	58221	Ms Navya .	Female	Mahatma Gandhi Memorial College, Udupi, karnataka	Assistant Professor	M.Sc(Mathematics), Manipal Academy of Higher Education, Manipal, Karnataka	2011
28	58227	Mr Melvin Varghese	Male	DC School of Management and Technology	Asst.Professor	University of Madras	2018
29	58228	Ms Sakshi	Female	University Of Delhi	Msc Student	University Of Delhi	Appeared
30	58237	Dr. Gunjan Khurana	Female	I. P. College for Women, University of Delhi	Associate Professor	Delhu	2007	20 Nov 18
31	58245	Prof Kiruthika Gurunathan	Female	K S R College of Engineering	Associate Professor	Bharathiar University	2008	27 May 22
32	58247	Mr. Abin Sam Tharakan	Male	SRM Institute of Science and Technology	PhD	University of Madras	2018
33	58261	Ms Dinila V K	Female	NIT CALICUT	Ph D	ST.JOSEPH'S COLLEGE, DEVAGIRI	2019
34	58262	Dr. K. Kavitha Krishnamoorthy	Female	Dr. N.G.P. Arts and Science College	PhD	Bharathiar University	2000	15 Dec 22
35	58264	Dr Aramuthakannan S	Male	PSG INSTITUTE OF TECHNOLOGY AND APPLIED RESEARCH	ASSOCIATE PROFESSOR	Bharathiar University	1997	17 Apr 14
36	58277	Mrs. Anupriya Shetty	Female	St Aloysius (Deemed to be University)	Assistant Professor	Mangalore University	2012
37	58299	Mr Rahul M Munavalli	Male	Vidyavardhaka College Of Engineering.	Assistant Professor	Rani-Channamma University,Belagavi.	2014
38	58319	Dr. N Paramaguru	Male	Government Arts College for Women, Krishnagiri, Tamil Nadu	Assistant Professor	Annamalai University	2003	16 Aug 14
39	58321	Mr. Dharmendra Kumar Chaurasia	Male	Banaras Hindu University	PhD	University of Allahabad	2019
40	58325	Dr. Mahesh Kb	Male	Government First Grade College, Vamadapadavu	Asst. Professor	Gulbarga University	1995	27 Feb 18
41	58333	Mr. Ajay Kumar	Male	South Aisan Univesity	Msc Student	South Asian University	Appeared
42	58334	Mr. Mohana K S K. S.	Male	Mangalore	Assistant Professor	Mangalore University
43	58363	Mr Treanungkur Mal	Male	Indian Statistical Institute, Bangalore	Student
44	58403	Dr Sunilkumar M Hosamani	Male	Rani Channamma University, Belagavi	Assistant Professor	Karnatak University, Dharwad	2008	27 Jun 12
45	58463	Mrs Sarada Pratapa	Female	ATME COLLEGE OF ENGINEERING	Assistant professor	Andhra university	2001
46	58472	Dr Yogesh Prasad	Male	Bishop Moore College	Assistant Professor	M G University Kottayam	2009	28 Sep 22
47	58498	Ms. Vaishnavi K Kumar	Female	Anna university	M.Sc	Anna university	2019
48	58501	Ms Bhavadharani K	Female	Gandhigram Rural Institute-Deemed University	MSC student	The Gandhigram rural institute-Deed university	2018
49	58509	Dr. Lokesh S B	Male	M.A.S. C . College, Haunsbhavi-581109	Assistant Professor	M.Sc	2009	25 Oct 17
50	58510	Dr. Harish H	Male	Sri Mahaveera First Grade College Moodbidri	Assistant Professor	Davangere University	2014	6 Sep 22
51	58511	Prof Shreemathi Adiga Adiga	Female	Mangalore University	Professor and Head of the Department, Ph. D, Mphil	Mangalore	1993	3 Jan 20
52	58514	Mr. Bhargava K	Male	Mangalore University	Assistant Professor	Mangalore University	2011
53	58515	Dr Perumal R	Male	SRM Institute of Science and Technology, Kattankulathur	Assistant Professor	Bharathiar University, Coimbatore	2005	4 Jun 14
54	58516	Dr Arulprakasam R	Male	SRM Institute of Science and Technology, Kattankulathur	Assistant Professor	Thiruvalluvar University, Vellore	2005
55	58517	Dr. Athithan S	Male	SRM Institute of Science and Technology, Kattankulathur-603203	Assistant Professor	University of Madras		11 Jan 16
56	58524	Mr. Lakshminarayana K S	Male	SRI BHUVANENDRA COLLEGE	Assistant professor	Kuvempu	1992
57	58526	Dr. Umadevi Periyasamy	Female	Dr. NGP Arts and Science College, Coimbatore-48.	Professor in Mathematics	M.Sc	2007
58	58536	Ms. Thanuja N P	Female	St Philomena College Puttur	Asst.Professor	Sri Bhavanendra College Karkala	2016
59	58544	Mrs. Gayathri P	Female	Government First Grade College Bettampady	Assistant Professor	Calicut University	1995
60	58547	Mr Keshavakumar B	Male	Govt.First Grade College Uppinangady	Assistant Professor	Mangalore University	2010
61	58553	Ms. Nirmala .	Female	Dr.B.B.Hegde First Grade college Kundapura	Assistant Professor	S.R.S.M.N. Govt.First Grade College Barkuru, Udupi	2019
62	58559	Dr. Murugan Varadhan	Male	VIT Vellore	Assistant Professor	Anna University	2009	10 Nov 19
63	58566	Ms. Nahida Majeed Wani	Female	AMITY UNIVERSITY GWALIOR	PH.D.		2018
64	58573	Dr Premalatha V	Female	Canara College	Principal	Mangalore university MSc	1999	11 Aug 17
65	58576	Ms. Chinmayi V Bhat	Female	St Aloysius (Deemed to be university)	Teaching staff Assistant- UG	Mangalore University	2021
66	58580	Dr Kishori P Narayankar	Female	Mangalore University	Asst Prof	Karnatak University, Dharwad	2003	7 May 08
67	58581	Ms Sree Parvathi P M	Female	Amrita Vishwa Vidyapeetham	PhD Student	Amrita Vishwa Vidyapeetham	2019
68	58585	Mr Joseph Nelson P	Male	Amrita Vishwa Vidyapeethan	PhD	Cochin University of Science and Technology	2019
69	58597	Mr Kishor Kumar	Male	Alva's college	Asst. Prof.
70	58598	Dr. Gopal Dutta	Male	J.K. College, Purulia, West Bengal	Assistant Professor	IIT GUWAHATI	2014	17 Jul 20
71	58599	Mr. Chinmay Patra	Male	J. K. College	State Aided College Teacher	Sidho Kanho Birsha University	2017

How to Reach:

TBA

School Short Name:

gtlaec

Last Date Application:

Monday, August 15, 2022

School Type:

TEW