IST Field Theory (2016)

Syllabus

Shameek Paul (Week I, May 2-7, 2016):

• Basic Theory of Field Extensions.
• Algebraic extensions
• splitting fields and algebraic closures
• Normal extensions.

S A Katre (Week I, May 2-7, 2016)

• Separable and Inseparable extensions
• Classical Straightedge and Compass Constructions
• Constructible Regular n-gons
• Finite fields.

J K Verma (Week II, May 9-14, 2016)

• Cyclotomic and Abelian extensions of Q
• Galois Theory
• Fundamental theorem of Galois theory.

Dilip Patil (Week II, May 9-14, 2016)

• Galois groups of polynomials
• Solvability by radicals
• Insolvability of the quintic.

Resource Persons:

(a) Names of the speakers:

(i) J K Verma (JKV), IIT Mumbai

(ii) S A Katre (SAK), Pune University, Pune

(iii) Dilip Patil (DP), IISc Bangalore

(iv) Shmeek Paul (SP), CBS, Mumbai

(b) Names of the tutors

(i) Dr. Vikas Jadhav (VJ), Wadia College, Pune

(ii) Dr. Harpreet Grover (HG), GNDU, Amritsar.

Programme Schedule

Sr.l	SID	Full Name	Gender	Afiliation	Position in College/ University	University/ Institute M.Sc./ M.A.	Year of Passing M.Sc./ M.A	Ph.D. Degree Date
1	6655	Mr. Paltu Sarkar	Male	Ananda Chandra College	Asst. Prof.	IIT Kharagpur	2008
2	6847	Mr. Rohit Verma	Male	L.R.D.A.V. COLLEGE	Asst. Prof.	Panjab University Chandigarh	2011
3	6914	Ms. Nisha Singh	Female	YMCAUST	Asst. Prof.	Panjab university	2010
4	6923	Mr. Ranjit Gangadhar Ghumde	Male	Shri, Ramdeobaba College of Engineering and Management, Nagpur	Asst. Prof.	RTMNU, Nagpur	2005
5	7084	Mr Ashesh Kumar Jharwal	Male	Shivaji College, University of Delhi	Asst. Prof.	Ramjas College, Univ. of Delhi.	2006
6	6613	Mr. Pratik Gupta	Male	GURUKULA KANGRI VISHVIDAWALYA HARIDWAR	Research Scholar	CSJMU KANPUR	2013
7	6764	Dr. Ashok Kumar	Male	Govt. College for Women Udhampur	Asst. Prof.	University of Jammu	2001	7/26/2012
8	6801	Dr. Yajuvindra Kumar	Male	MK Government Degree College	Asst. Prof.	University of Roorkee, Roorkee	1999	11/12/2011
9	6983	Dr. Sudipta Purkait	Male	Jadavpur University	PhD	IIT Guwahati, M.Sc.	2009	10/14/2015
10	6876	Mr. Devendra Prasad	Male	Shiv Nadar University	PhD	HNB Garhwal University	2013
11	6912	Dr Selvan Venkatachalam	Male	Ramakrishna Mission Vivekananda College,	Asst. Prof.	Ramanujan Institute for Advanced study in Mathematics	1986	5/8/1995
12	7505	Prof. Jayprakash Ninu Chaudhari	Male	M. J. College, Jalgaon	Professor and Head, Department of Mathematics	Poona University	1987	1/18/1996
13	6743	Mr Khalid Nazir	Male	University of Kashmir	PhD	University of Kashmir	2011
14	6763	Ms Aasma Rafiq Sofi	Female	University of Kashmir.	Ph.D.	University of Kashmir	2011
15	7088	Ms. Shaista Bashir	Female	Department of Mathematics, University of Kashmir.	Ph.D. Scholar	University of Kashmir.	2009
16	7090	Mr. Fida Hussain	Male	Department of Mathematics, University Of Kashmir	SRF Project Fellow	University of Kashmir.	2012
17	7105	Mr Showkat Ahmad Dar	Male	Goverment Degree college sopore	Lecturer	M.A	2009	10/1/2015
18	7194	Ms. Bisma Zahoor Bagdadi	Female	University of Kashmir	ph.D research scholar	University of Kashmir	2010
19	7209	Ms. Sumeera Shafi Bhat	Female	University of Kashmir	ph.D research scholar	University of Kashmir	2010

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