Annual Foundation School - I (IIT Patna 2020) | National Centre for Mathematics

Dates:

Monday, May 4, 2020 - 09:15 to Saturday, May 30, 2020 - 09:15

Venue:

IIT

Venue Address:

Department of Mathematics
Indian Institute of Technology Patna
Bihta, Patna- 801 106

Venue State:

Bihar

Venue City:

Patna

PIN:

801106

Syllabus:

Name of the Speakers with their affiliation.	No. of Lectures	Detailed Syllabus
Prof V K Bhat, SMVDU, Jammu (VKB)	6	Group Action, Cayley’s Theorem, Class Equation, Simple Group, Examples : Icosahedral group, Sylow Theorems and its applications, Free group, Generators and Relation
Prof. Om Prakash, IITP (OP)	6	Bilinear forms, Symmetric forms : orthogonality, , orthogonal projection, Hermitian Forms, Spectral theorem for Hermitian and Normal operators, Conics and Quadric
Prof. Ritumoni Sarma, IITD(RS)	6	The Classical Linear Groups, Special Unitary Group SU(2) and its orthogaonal representation.SL(2,R), One-parameter subgroups, Lie Algebra, Simple Group
Dr. Anupam Kumar Singh, IISER, Pune(AKS)	6	Group Representations, Group Invariant forms and Unitary Representations, Compact groups, Invariant Subspaces and Irreducible representations, Characters, Permutation Representations and regular representation, Schur’s Lemma and Proof of orthogonalty relations, Representations of the Group SU(2)
Dr N K Tomar, IITP (NKT)	6	Goursat’S Theorem, Local existence of primitives, Cauchy’s Theorem on Disc, Cauchy’s integral formulas, Liouville’s theorem, Fundamental Theorem of Algebra, Identity Theorem
Prof. R. Thangadurai, HRI, Prayagraj (RT)	6	Morera’s Theorem,, Sequences of holomorphic functions, Schwarz reflection principle, Runge’s approximation theorem, Zeros and Poles, Residue Formula
Dr Amit Priyadarshi, IITD (AP)	6	Singularities and Meroporhic functions,The argument principle, Rouche’s theorem, Open mapping theorem, Maximum modulus principle, The complex logarithm, Fourier Series and Harmonic Functions.
Dr Amit Priyadarshi, IITD (AP)	6	Fourier Transform, Class of Holomorphic functions on strip with moderate decay, Paley-Wiener Theorem, Mittal- Lefflar, Weierstrass theorems, Riemann mapping theorem.
Dr Tiken Singh, NEHU (TS)	6	Metric Spaces, Open and Closed sets, Convergence, Completeness, Baire’s Theorem, Lebesgue Lemma, Continuous mappings, Space of Continuous Functions, Topological Spaces, Basis of a topology, Sub-basis of a topology, Weak Topologies
Dr Tiken Singh, NEHU (TS)	6	Compact Spaces, Product of Spaces, Tychonoff's theorem, locally compact spaces, Compactness for Metric Spaces, Ascoli's theorem, Hausdorff Spaces, Completely Regular Spaces and Normal Spaces, Urysohn's Lemma, Tietze Extension theorem
Prof Himadri Mukherjee, NEHU (HM)	6	Urysohn Imbedding Theorem, Stone-Cech Compactification, Connected Spaces, Components of a space, totally disconnected spaces, Locally connected Spaces, Weierstrass Approximation Theorem, Stone Weierstrass Theorem
Dr Ashish Kumar Upadhyay, IITP (AKU)	6	Locally Compact Hausdorff Spaces, Extended Stone-Weierstrass Theorem, Constructing Mobius Strips, Torus and higher genus surfaces, Cone construction, Glueing lemma, Quotient space, Topological Group, Orbit Space.

Time Table:

Day	Date	Lecture 1 (9.30–11.00)	Tea (11.05–11.25)	Lecture 2 (11.30–1.00)	Lunch (1.05–2.25)	Tutorial 1 (2.30 – 3.30)	Tea (3.35-3.55)	Tutorial 2 4.00 – 5.00	Snacks 5.05-5.30
		(name of the speaker)		(name of the speaker)		(name of the tutor)		(Name of the tutor)
Mon	04-05-2019	VKB		TS		Topology		Topology
Tues	05-05-2019	VKB		NKT		Complex		Complex
Wed	06-05-2019	NKT		VKB		Algebra		Algebra
Thu	07-05-2019	VKB		TS		Topology		Topology
Fri	08-05-2019	TS		NKT		Complex		Complex
Sat	09-05-2019	NKT		TS		Algebra		Algebra
SUNDAY : HOLIDAY
Mon	11-05-2019	RT		OP		Complex		Complex
Tue	12-05-2019	OP		TS		Algebra		Algebra
Wed	13-05-2019	TS		RT		Topology		Topology
Thu	14-05-2019	RT		OP		Complex		Complex
Fri	15-05-2019	OP		TS		Algebra		Algebra
Sat	16-05-2019	TS		RT		Topology		Topology
SUNDAY : HOLIDAY
Day	Date	Lecture 1 (9.30–11.00)	Tea (11.05–11.25)	Lecture 2 (11.30–1.00)	Lunch (1.05–2.25)	Tutorial 1 (2.30 – 3.30)	Tea (3.35-3:55)	Tutorial 2 (4.00 – 5.00)	Snacks (5.05-5.30)
		(name of the speaker		(name of the speaker		(name of the tutor		(Name of the tutor)
Mon	18-05-2019	RS		AP		Complex		Complex
Tue	19-05-2019	AP		HM		Algebra		Algebra
Wed	20-05-2019	HM		RS		Topology		Topology
Thu	21-05-2019	RS		AP		Complex		Complex
Fri	22-05-2019	AP		HM		Algebra		Algebra
Sat	23-05-2019	HM		RS		Topology		Topology
SUNDAY : HOLIDAY
Mon	25-05-2019	AKS		AP		Algebra		Algebra
Tue	26-05-2019	AP		AKU		Topology		Topology
Wed	27-05-2019	AKU		AKS		Complex		Complex
Thu	28-05-2019	AKS		AP		Algebra		Algebra
Fri	29-05-2019	AP		AKU		Topology		Topology
Sat	30-05-2019	AKU		AKS		Complex		Complex

Selected Applicants:

Instructions to the candidates:

We are happy to announce that the AFS-I program at IIT Patna has received a large number of applications from deserving candidates.
However at present, the program can accommodate only 40 participants. We are trying our best to increase the capacity to 45, in an attempt to reach out to as many as possible.
There are two lists:
List I- Selected candidates
List II- Wait-listed candidates
Each candidate in List-I (except those who are going to travel by bus) is required to send a scanned copy of the forward journey ticket to afs1.iitp@gmail.com on or before 10th March 2020 along with the confirmation of participation.
After 10th March 2020, List II will be merged into List I and become one single selected candidate list. The selection will be subject to first- cum-first served basis till we reach the optimum number.
Accordingly, the confirmation of participation will be announced on the web page. This information will be updated every week. So, keep checking it from time to time.
At any stage before the program starts, if a confirmed participant decides to drop out of the program for any reason, he/she is requested to inform this to the organizers so that some other deserving candidate gets a chance to attend the program.
All your communication with the organizers should accompany your SID number, without which your communication will be ignored.

List I

Serial	SID	Full Name	Gender	Affiliation	Position in College/University	University/Institute M.Sc./M.A.	Year of Passing M.Sc./M.A
1	31453	Mr Chiranjib Choudhury	Male	Tripura University	PhD Scholar	Tripura University	2017
2	31464	Mr. Muneer Nabi	Male	Central University of Kashmir	Integrated Mphil-Phd	M.Sc.	2015
3	31472	Ms. Sakeena Bano	Female	Central University Of Kashmir Ganderbal	PhD.	M.Sc.	2014
4	31478	Mr Gaurav Gaurav	Male	IIT (B.H.U), Varanasi	PhD	Banaras Hindu University	2014
5	31506	Ms Shivasiva Priyaa R S	Female	Periyar University	Ph.D.	Bharathiar University	2018
6	31550	Mr. Pritam Kumar Bhoi	Male	NIT Rourkela	PhD	Sambalpur University	2016
7	31554	Mr. Sourav Mandal	Male	University Of North Bengal	PhD student	University Of North Bengal	2018
8	31558	Ms. Sonal Nirwal	Female	IIT (Indian School of Mines)	PhD	M.Sc.	2013
9	31559	Ms Kamna Pradip Laghate	Female	Technology Indore	PhD Scholar	Dr B A M University, Aurangabad	2016
10	31561	Ms. Seema Jangir	Female	Central University of Punjab	PhD	Delhi University	2018
11	31569	Mr. Santanu Mondal	Male	Ramakrishna Mission Vivekananda Educational and Research Institute (RKMVERI)	Ph.D. Student	University of Calcutta	2018
12	31571	Mr. Rajat Singh	Male	University of Jammu	MPhil	University of Jammu	2017
13	31573	Mr. Abhishek Pandey	Male	IIT BHUBANESWAR	Ph.D.	IIT Bhubaneswar	2019
14	31578	Mr. Raja Rawat	Male	Central University of Bihar	Ph.D	Assam University	2017
15	31581	Mr. Bharat Pratap Chauhan	Male	Shiv Nadar University	PhD	University of Delhi, Hansraj College	2018
16	31614	Mr. Shivansh Pandey	Male	NISER Odisha	PhD	Banaras Hindu University Varanasi	2019
17	31641	Mr Santosh Kumar	Male	Banaras Hindu University , Varanasi	Ph.D.	HPU SHIMLA	2017
18	31643	Mr. Sachin Kumar	Male	BHU, Varanasi.	ph.D	M.Sc Dev - Nagri College , Meerut Ccs University Meerut	2015
19	31728	Mrs. Kiran Meena	Female	BHU, Varanasi.	PhD Student	University of Rajasthan, Jaipur	2018
20	31784	Mr. Bhuban Chandra Deuri	Male	Rajiv Gandhi University	PhD	Rajiv Gandhi University	2015
21	31789	Ms. Rinchin Drema	Female	Rajiv Gandhi university	phD	Rajiv Gandhi university	2018
22	31793	Mr. Arpit Dwivedi	Male	Banaras Hindu University	PhD	CSJM University	2016
23	31834	Mr. Amit Kumar	Male	IIT(ISM), Dhanbad	Ph. D.	South Asian University, New Delhi.	2015
24	31845	Mr Manab Kundu	Male	IIT (ISM) DHANBAD	Ph.D.	IIT (ISM) DHANBAD	2016
25	31865	Ms Khetjing Moungkang	Female	North Eastern Regional Institute of Science and Technology	PhD	Rajiv Gandhi University	2017
26	31866	Ms Amita Devi	Female	Central University of Punjab	PhD	CDLU	2014
27	31954	Mr. Satish Kumar	Male	Banaras Hindu University	PhD	M.Sc.	2016
28	31969	Ms Mopi Ado	Female	Northeastern Regional Institute of Science and Technoloyg	Phd	Rajiv Gandhi University , Rono Hill ,Itanagar	2017
29	31992	Mr Rohan Joy	Male	IIT Madras	PhD	Indian Institute of Technology Hyderabad	2018
30	31996	Mr Ajay Kumar	Male	The LNM Institute Of Information Technology	PhD Student	CCS University Meerut	2013
31	32121	Ms. Astha Agrawal	Female	Indian Institute of Technology Delhi	PhD	Banasthali Vidyapith	2018
32	32122	Ms. Praveen Manju	Female	Indian Institute Of Technology Delhi	PhD STUDENT	Miranda House, University Of Delhi	2019
33	32174	Mr. Kousik Bhattacharya	Male	Midnapore College	PhD student	Vidyasagar University	2015
34	32175	Mr. Dwaipayan Mishra	Male	Midnapore College	PhD student	Vidyasagar University	2015
35	32180	Ms. Anshika Tanwar	Female	IIT(BHU)	PhD	JAMIA MILLIA ISLAMIA	2017
36	32188	Mr. Kisan Bhoi	Male	Sambalpur University, Jyoti Vihar	PhD	Central University of Orissa, Koraput	2017
37	32218	Mr. Prasanta Sahoo	Male	Midnapore College (Autonomous)	PhD Student	Midnapore College (Autonomous)	2017
38	32257	Ms. Ankita Parashar	Female	Indian Institute Of Technology Delhi	PhD	MSC	2019
39	32314	Mr. Shiva Chaudhary	Male	Banaras Hindu University	PhD	IIT Bombay	2019
40	32318	Ms. Amrita Singh	Female	Doon university	PhD	HNBGU central university	2016
41	32331	Ms. Gunjan Rani	Female	Banaras Hindu University	PhD	M.Sc.	2019
42	32348	Ms Sushmita Rawat	Female	Indian Institute of Technology Delhi	PhD	University of Delhi	2017
43	32432	Mr. Sridhar T	Male	IIITDM, Kancheepuram	PhD	Bharathidasan University, Trichy.	2018
44	32472	Mr. Shivarama K N	Male	National Institute of Technology Suratkal	PhD	Mangalore University	2019

List II

Serial	SID	Full Name	Gender	Affiliation	Position in College/University	University/Institute M.Sc./M.A.	Year of Passing M.Sc./M.A
1	31454	Mr. Bijoy Das	Male	Tripura University	PhD Scholar	Tripura University	2019
2	31462	Mr Anuj Kumar Sirohi	Male	Jawaharlal Nehru University	Phd	JNU	2018
3	31505	Ms Suvetha R.	Female	Periyar University	PhD (Research Scholar)	Bharathiar University	2018
4	31517	Mr. Dinesh Kumar Yadav	Male	Banaras Hindu University	Research Scholar	Dr. Ram Manohar Lohia Awadh University, Ayodhya	2014
5	31529	Mr. Anubhav Sharma	Male	University of Hyderabad	PhD	University of Delhi	2018
6	31600	Ms. Aroonima Sahoo	Female	National Institute Of Technology Rourkela (NITR)	PhD Student	Utkal University, Odisha	2018
7	31651	Mr. Vishal Pradhan	Male	ABV-Indian Institute of Information Technology and Management, Gwalior	PhD	South Asian University	2015
8	31655	Mr Udit Raj	Male	Shiv Nadar University	Ph.d	MNNIT allahabad	2017
9	31783	Mr Sumit Sah	Male	Banaras Hindu university	Junior Research Fellow	Bnaras Hindu University	2018
10	31848	Ms Anjali Shriwastawa	Female	Banaras hindu university	PhD in Banaras hindu university	University of Allahabad	2015
11	31914	Mr. Sandeep Bhatnagar	Male	Aligarh Muslim University	PhD Student	Chaudhary Charan Singh University, Meerut
12	31963	Mr Riyajur Rahman	Male	Rajiv Gandhi University	PhD Research scholar	Rajiv Gandhi University , Rono hills , Doimukh, Arunachal Pradesh	2017
13	32007	Mr Artatrana Suna	Male	Sambalpur University	PhD	Sri Sathya Sai Institute of Higher Learning	2019
14	32263	Mr. Abhishek Senapati	Male	IIT (BHU), Varanasi	PhD Student	Ravenshaw University	2019
15	32319	Ms Haritha T	Female	National Institute of Technology Calicut	PhD	Calicut university	2018
16	32474	Ms. Nidhi Bisht	Female	Doon University	PhD	Jamia Milia Islamia	2016
17	32475	Mr. Ranjit Kumar	Male	The LNM Institute Of Information Technology Jaipur	Ph.D	University of Allahabad	2017
18	32477	Ms. Suruchi Maindola	Female	Doon University	PhD	Hemvati Nandan Bahuguna Garhwal University	2018
19	32484	Mr. Sachin Manjunath Naik	Male	National Institute Of Technology Karnataka	PhD student	Mangalore University	2019

How to Reach:

Click here for the details

School Short Name:

afsi-patna

Last Date Application:

Thursday, January 2, 2020

School Type:

AFS-I

Convener(s)
Name:	Dr. Ashish Kumar Upadhyay	Dr. Om Prakash
Mailing Address:	Department of Mathematics Indian Institute of Technology Patna Bihta, Patna- 801 106	Department of Mathematics Indian Institute of Technology Patna Bihta, Patna- 801 106
Email:	upadhyay at iitp.ac.in	om at iitp.ac.in