IST Algebra (2015)

Venue:	MNIT, Jaipur
Dates:	7^th - 19^th Dec, 2015

Convener(s)

Speakers, Syllabus and Time table

Applicants/Participants

School Convener(s)
Name	Dr. Ritu Agarwal	Dr. Rashmi Jain	Prof. J.K. Verma
Mailing Address	Department of Mathematics Malaviya National Institute of Technology, Jaipur	Department of Mathematics Malaviya National Institute of Technology, Jaipur	Department of Mathematics IIT Bombay, Powai Mumbai – 400 076

Speakers and Syllabus

Program Schedule

	Mon, 7 Dec	Tue, 8 Dec	Wed, 9 Dec	Thu, 10 Dec	Fri, 11 Dec	Sat, 12 Dec
9.30-11.00	HA	HA	HA	HA	HA	HA
11.00-11.30	Tea	Tea	Tea	Tea	Tea	Tea
11.30-1.00	SRG	SRG	SRG	SRG	SRG	SRG
1.00-2.00	Lunch	Lunch	Lunch	Lunch	Lunch	Lunch
2.30-3.30	HA,MD,PS	SRG,MD,PS	HA,MD,PS	SRG,MD,PS	HA,MD,PS	SRG,MD,PS
3.30-4.00	Tea	Tea	Tea	Tea	Tea	Tea
4.00-5.00	HA,MD,PS	SRG,MD,PS	HA,MD,PS	SRG,MD,PS	HA,MD,PS	SRG,MD,PS
	Mon, 14 Dec	Tue, 15 Dec	Wed, 16 Dec	Thu, 17 Dec	Fri, 18 Dec	Sat, 19 Dec
9.30-11.00	JKV	JKV	JKV	JKV	JKV	JKV
11.00-11.30	Tea	Tea	Tea	Tea	Tea	Tea
11.30-1.00	ISG	ISG	ISG	ISG	ISG	ISG
1.00-2.00	Lunch	Lunch	Lunch	Lunch	Lunch	Lunch
2.30-3.30	JKV,MD,PS	ISG, MD,PS	JKV,MD,PS	ISG, MD, PS	JKV,MD,PS	ISG, MD, PS
3.30-4.00	Tea	Tea	Tea	Tea	Tea	Tea
4.00-5.00	JKV,MD,PS	ISG,MD,PS	JKV,MD,PS	ISG,MD,PS	JKV,MD,PS	ISG,MD,PS

HA- H. Ananthnarayan
SG- Sudhir Ghorpade
ISG- Indranath Sengupta
JKV-J.K. Verma
MD-Mrinmoy Datta
PS-Parangama Sarkar

Resource Persons and Syllabus covered

Speaker Affiliation	No. of Lectures	Detailed Syllabus
H.Ananthnarayan IIT Bombay	6	Lecture 1: permutation groups, alternating groups Lecture 2: dihedral groups, groups of matrices, quaternions etc. Lecture 3 : group homomorphism theorems, examples Lecture 4: Group actions, class equation, conjugacy classes in symmetric groups and partitions, class equation of A_5. Lecture 5 : Sylow Theorems, Lecture 6: groups of order 12
Sudhir Ghorpade IIT Bombay	6	Lecture 1: Examples of rings Lecture 2: Ideals and homomorphism theorems Lecture 3: Quotient filed of an integral domain Lecture 4: Maximal and prime ideals Lecture 5: Weak and Strong Nullstellensatz Lecture 6: description of algebraic subsets of the affine plane
Indranath Sengupta IIT Gandhinagar	6	Lecture 1+2: UFD, PID, Euclidean domains, Lectures 3+4: primes ideals in imaginary quadratic fields Lecture 5+6: applications to number theory.
J. K. Verma IIT Bombay	6	Lecture 1+2 : Isometries and finite groups of rigid motions of plane, Lectures 3+4: Orthogonal matrices and rotations of space Lecture 5: Groups of symmetries of Platonic solids. Lecture 6: Finite subgroups of SO(3)

Tutorial Assistants

S. No.	Name	Affiliation
1	Mrinmoy Datta	IIT Bombay
2	Parangama Sarkar	IIT Bombay

Actual Participants

Sr.	SID	Full Name	Gender	Affiliation	City ,State	Position in Colleg / University	University /Institute M.Sc / M.A.	Year of Passing M.Sc. / M.A	Ph.D. Degree Date
1	2309	Prof. Manoj Kumar Patel	Male	NIT - Nagaland	Chumukedima, Dimapur ,Nagaland		VBS. Poorvanchal University, Jaunpur	2004	7/1/2011
2	2455	Mr. Mahesh Puri Goswami	Male	Malaviya National Institute of Technology Jaipur	Jaipur ,Rajasthan	PhD	Central University of Rajasthan	2012
3	2524	Mr. Ranjit Gangadhar Ghumde	Male	Shri Ramdeobaba college of Engineering and Management	Nagpur ,Maharashtra	Asst. Prof.	Department of Mathematics , RTMNU Nagpur	2005
4	2603	Ms Priyambada Tripathi	Female	Shaheed Bhagat Singh College, University Of Delhi	New Delhi ,Delhi	Asst. Prof.	BHU	2008
5	2786	Dr. Balchand Prajapati	Male	Ambedkar University Delhi	New Delhi ,Delhi	Asst. Prof.	Banaras Hindu University, Varanasi	2005	8/13/2011
6	2843	Mr, Aditya Bhan Ojha	Male	Government college dharamshala	Dharamshala ,Himachal Pradesh	Asst. Prof.	MDS university Ajmer	2009
7	2859	Ms. Ranjana Mehta	Female	IIT Gandhinagar	Ahmedabad ,Gujarat	PhD student	Kumaun University	2008
8	3323	Mr Sameer Ahmad Gupkari	Male	JKIMS	Srinagar ,Jammu And Kashmir	Asst. Prof.	University of Kashmir	2003
9	3639	Mr. Heramb Balkrishna Aiya	Male	Government College of Arts Science and Commerce, Quepem - Goa.	Quepem ,Goa	Asst. Prof.	M.Sc.( Mathematics), Goa University	2005
10	3961	Ms. Tarun Kumari	Female	Lakhimpur Commerce College, Dibrugarh University	Lakhimpur ,Assam	Asst. Prof.	Tezpur University	2011
11	4037	Ms. Vinti Dhaka	Female	Banasthali University	Jaipur ,Rajasthan	Research Associate	Banasthali University	2011
12	4051	Mr. Guddu Kumar	Male	ISM	Dhanbad ,Jharkhand	Ph.D	IISER K	2014
13	4176	Ms. Shanu Goyal	Female	banasthali vidyapith	Banasthali ,Rajasthan	Asst. Prof.	Banasthali Vidyapith	2012
14	4182	Ms. Renu	Female	Indian School Of Mines Dhanbad	Dhanbad ,Jharkhand	Ph.D	BHU	2012
15	4274	Mr. Sudipta Purkait	Male	Jadavpur University	Kolkata ,West Bengal	PhD	M.Sc. (IIT Guwahati)	2009
16		Ms. Sonal Jain	Female	MNIT Jaipur	Jaipur	PhD Scholar
17		Mr. Mahaveer Yadav	Male	MNIT Jaipur	Jaipur	PhD Scholar
18		Mr. Patel Arjun K	Male

How to reach
The Institute is located in Malaviya Nagar on Jawahar Lal Nehru Marg, Jaipur. Jaipur is situated in Northern India at a distance of around 260 km south of Delhi.
By Road:
From National Highway 8: NH8 connects Jaipur to Delhi, Ajmer, Udaipur, Ahmedabad, Vadodara, Mumbai one can reach to Sindhi Camp Bus stand. From Sindhi camp which is 10 kms away from MNIT campus one can take bus no. 7 and 17. One can also get prepaid taxi’s too for the MNIT campus
From National Highway 11: NH11 connects Agra-Jaipur-Bikaner one can reach to Sindhi Camp Bus stand. From Sindhi camp which is 10 kms away from MNIT campus one can take bus no. 7 and 17. One can also get prepaid taxi’s too for the MNIT campus
From National Highway 12: Which connects Jabalpur-Bhopal-Khilchipur-Aklera-Jhalawar-Kota-Bundi-Devli-Tonk-Jaipur. One can reach to Sindhi Camp Bus stand. From Sindhi camp which is 10 kms away from MNIT campus one can take bus no. 7 and 17. Prepaid taxis are also available from bus stand to the MNIT campus.

By Train:
Indian railways connect Jaipur to almost all major cities of the country. There are three stops close to MNIT: one on Durgapura, about 3 kms from MNIT, from where one can hire a taxi to reach MNIT, another at GhandhiNagar railway station, 1 km away from MNIT, one can hire a taxi or take bus no. 7 and 17 to reach MNIT. The main railway station is about 13 kms from MNIT, one can take a taxi or bus no 7 to reach MNIT.

By Air:
MNIT is roughly five kilometers from Sanganer airport, from there one can either hire a taxi to reach MNIT or take bus no 13 to reach Tonk Phatak and then Bus no, 7 or 17 to reach MNIT.

The link for "HOW TO REACH" MNIT Jaipur is:
http://www.mnit.ac.in/contact_us/howtoreach.php