Annual Foundation School - I (HRI 2019)

  Convener(s)
Name: R. Thangadurai  D. Surya Ramana
Mailing Address:

Harish-Chandra Research Institute
Chhatnag Road, Jhunsi,
Prayagraj (Allahabad) - 211019

 Harish-Chandra Research Institute
Chhatnag Road, Jhunsi,
Prayagraj (Allahabad) - 211019
Email: thanga at hri.res.in suri at hri.res.in

AFS programs are targeted at fresh Ph. D. students in research institutions and universities in the country. In the selection of AFS-I, preference will be given to those who hold some national scholarships such as NBHM, UGC, CSIR, GATE etc.  In the selection of AFS -II and AFS-III, preference will be given to those who have attended AFS-I satisfactorily. Before recommending  a candidate who have not attended AFS-I, their supervisors should make sure that the candidate is conversant with the material covered in AFS-I.

Please note that participants have to bear the travel cost on their own. Only lodging and boarding will be covered by the organizers. After making the on-line registration,   they are advised to  book their train ticket well in advance, in order to avoid disappointment due to non-availability of the same.

Dates: 

Monday, May 6, 2019 - 09:30 to Saturday, June 1, 2019 - 17:30

Venue: 

Venue Address: 

SGGS InstiChhatnag Road, Jhunsi,
Prayagraj (Allahabad) – 211 019

Venue State: 

Venue City: 

PIN: 

211019

Chrono Order: 

323

Syllabus: 

Name of the Speakers with their affiliation. No. of Lectures Detailed Syllabus
Prof. Punita Batra (PB) HRI, Prayagraj 6 Group Action, Cayley’s Theorem, Class Equation, Simple Group, Examples : Icosahedral group, Sylow Theorems and its applications, Free group, Generators and Relation
Prof. Kalyan Chakraborty (KC) HRI, Prayagraj 6 Bilinear forms, Symmetric forms : orthogonality, , orthogonal projection, Hermitian Forms, Spectral theorem for Hermitian and Normal operators, Conics and Quadric
Prof. D.Surya Ramana (DSR) HRI, Prayagraj 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. B. Sahu (BS) NISER, Bhubaneswar 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. Gyan Prakash (GP) HRI, Prayagraj 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 (RT) HRI, Prayagraj 6 Morera’s Theorem,, Sequences of holomorphic functions, Schwarz reflection principle, Runge’s approximation theorem, Zeros and Poles, Residue Formula
Prof. B. Ramakrishnan (BR) HRI, Prayagraj 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.
Prof. P.K. Ratnakumar (PKR) HRI, Prayagraj 6 Fourier Transform, Class of Holomorphic functions on strip with moderate decay, Paley-Wiener Theorem
Dr. Umesh Kumar Dubey (UKD) HRI, Prayagraj 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
Prof. N. Raghavendra (NR) HRI, Prayagraj 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. S.D. Adhikari (SDA) RKMVERI, Belur 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
Prof. Satya Deo (SD) HRI, Prayagraj 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.

 References:

1. Algebra, Michael Artin
2. Complex Analysis, Stein E.M and Rami Shakarchi
3. Introduction to Topology and Modern Analysis, G.F.Simmons
4. Basic Topology, M.A. Armstrong

Names of the tutors / course associate with their affiliation :

1.  Anoop Singh (HRI, Prayagraj) – Analysis - AS
2.  Pradeep Das (HRI, Prayagraj) – Topology - PD
3.  Jaitra Chattopadhyay (HRI, Prayagraj) – Algebra - JC
4.  Subha Sarkar (HRI, Prayagraj) – Algebra - SS
5.  Bidisha Roy (HRI, Prayagraj) – Algebra - BR
6.  Debasis Karmakar (HRI, Prayagraj) – Algebra - DK
7.  Veekesh Kumar (HRI, Prayagraj) – Analysis - VK
8.  Nabin Meher (NISER, Bhubaneswar) – Topology - NM
9.  Pallab Dey (RKMVERI, Belur) - Topology - PD
10. Satyanarayana Reddy (SNU, Delhi) – Algebra - SR
11. Balesh Kumar (IMSc, Chennai) – Topology - BK
12. S. Manikandan (HRI, Prayagraj) – Topology - SM
13. Mithun Das (HRI, Prayagraj) – Analysis - MD

Time Table: 

Day Date Lecture 1
(9:00–11:00)		 11:05
to
11:25		 Lecture 2
(11:30–1:00)		 1:05
to
2:25
 Tutorial 1
(2:30 – 3:30)		 3:35
to
3:55
 Tutorial 2
(4:00 – 5:00)		 5:05
to
5:30
    (speaker)   (speaker)   (tutor)   (tutor)  
Mon 06-05-2019 UKD T
E
A		 GP L
U
N
C
H		 NM, BK, UKD T
E
A		 NM, BK, UKD

S
N
A
C
K
S
Tues 07-05-2019 GP PB PD, MD, GP PD, MD, GP
Wed 08-05-2019 PB UKD SR, DK, PB SR, DK, PB
Thu 09-05-2019 UKD GP NM, BK, UKD NM, BK, UKD
Fri 10-05-2019 GP PB PD, MD, GP PD, MD, GP
Sat 11-05-2019 PB UKD SR, DK, PB SR, DK, PB
SUNDAY : HOLIDAY  
Mon 13-05-2019 RT T
E
A		 KC L
U
N
C
H		 PD, SM, NR T
E
A		 PD, SM, NR S
N
A
C
K
S
Tue 14-05-2019 KC NR AS, VK, RT AS, VK, RT
Wed 15-05-2019 NR RT JC, SS, KC JC, SS, KC
Thu 16-05-2019 RT KC PD, SM, NR PD, SM, NR
Fri 17-05-2019 KC NR AS, VK, RT AS, VK, RT
Sat 18-05-2019 NR RT JC, SS, KC JC, SS, KC
SUNDAY : HOLIDAY  
Day Date Lecture 1
(9:00–11:00)		 11:05
to
11:25		 Lecture 2
(11:30–1:00) 		1:05
to
2:25		 Tutorial 1
(2:30 – 3:30) 		3:35
to
3:55		 Tutorial 2
(4:00 – 5:00) 		5:05
to
5:30
    (speaker)   (speaker)   (tutor)   (tutor)

Mon 20-05-2019 BR DSR SM, NM, SDA SM, NM, SDA
Tue 21-05-2019 DSR SDA PD, MD, BR PD, MD, BR
Wed 22-05-2019 SDA BR BR, SR, DSR BR, SR, DSR
Thu 23-05-2019 BR DSR SM, NM, SDA SM, NM, SDA
Fri 24-05-2019 DSR SDA PD, MD, BR PD, MD, BR
Sat 25-05-2019 SDA BR BR, SR, DSR BR, SR, DSR
SUNDAY HOLIDAY
Mon 27-05-2019 BS SD BK, PD, SD BK, PD, SD
Tue 28-05-2019 SD PKR AS, VK, PKR AS, VK, PKR
Wed 29-05-2019 PKR BS DK, BR, BS DK, BR, BS
Thu 30-05-2019 BS SD BK, PD, SD BK, PD, SD
Fri 31-05-2019 SD PKR AS, VK, PKR AS, VK, PKR
Sat 01-06-2019 PKR BS DK, BR, BS DK, BR, BS

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 24526 Mr Karthick G Male Bharathidasan University Ph.D Jamal Mohamed College 2017  
2 24527 Mr. Laba Kr. Das Male NIT Nagaland PhD Gauhati University 2016  
3 24573 Ms. Ritu Dhankhar Female BITS Pilani Goa PhD University of Delhi 2016  
4 24645 Mr. Sandip Rout Male University of Hyderabad PhD Ravenshaw University 2018  
5 24647 Mr. Kush Kumar Mishra Male IIT(BHU) PhD University of allahabad 2015  
6 24673 Mr. Vivek Singh Yadav Male Rajiv Gandhi Institute of Petroleum Technology PhD Motilal Nehru National Institute of Technology Allahabad 2015  
7 24731 Mr Manikandan C Male IIT Palakkad PhD Madras University 2015  
8 24755 Mr. Sandeep Kumar Kumar Male IIT BHU Research scholar ph.d University of Allahabad 2015  
9 24826 Ms. Somi Gupta Female Banasthali Vidyapith MPhil Banasthali Vidyapith 2018  
10 24827 Mr. Pallab Maiti Male IIT Bhilai PhD student NIT Rourkela 2016  
11 24850 Mr. Amar Deep Male PDPM IIIT DM Jabalpur PhD C.C.S University Meerut 2011  
12 24893 Ms. Tabinda Nahid Female Aligarh Muslim University PhD Aligarh Muslim University 2013  
13 24897 Mr. Manoj Kumar Male Ambedkar University Delhi Phd Dr B R Ambedkar NIT Jalandhar 2017  
14 24927 Mr Abhishek Shrivastava Male Aligarh Muslim University PhD University of Delhi 2016  
15 24947 Ms. Meena Joshi Female Hemvati Nandan Bahuguna Central University Srinagar (GARHWAL) PhD Kumaum University Nainital 2015  
16 24952 Ms. Saroj Yadav Female Central University of South Bihar, Gaya PhD VNIT, Nagpur 2017  
17 24987 Mr. Dhananjay Kumar Male NIT PATNA PhD Student Department of Mathematics Patna University 2015  
18 25038 Ms Snehil Srivastava Female IIT Tirupati P.hD Integral University 2017  
19 25048 Mr. Satya Prakash Maurya Male APS University Rewa Research Scholar APS University Rewa 2014  
20 25051 Ms. Rashmi Prasad Female Central University of South Bihar PhD Central University Of South Bihar 2017  
21 25068 Ms. Rashmi Malik Female IIT Tirupati PhD University of Delhi 2017  
22 25082 Ms Divya G Female IIT Tirupati Phd Central College , Bangalore University 2016  
23 25179 Ms Shivani Chauhan Female Shiv Nadar University PhD Research Scholar University of Delhi 2017  
24 25180 Ms. Apoorva Singh Female Shiv Nadar University PhD University of Delhi 2017  
25 25208 Ms Tsering Landol Female University of jammu PhD student M. Sc 2016  
26 25222 Ms. Ambreen Naaz Female Alugarh Muslim University PhD Meerut Universty 2012  
27 25256 Ms. Aakriti Sharma Female Central university of jammu PhD student university of jammu 2016  
28 25266 Mr. Vivek Kumar Male Central university of Jammu Ph.D scholar University of Jammu 2017  
29 25412 Ms Divyadevi Thangaraj Female National Institute Of Technology PhD Student Bharathidasan University 2017  
30 25418 Mr. Harsh Narayan Singh Male Banaras Hindu University PhD Banaras Hindu University 2016  
31 25459 Ms. Lalita Pandey Female Banaras Hindu University PhD Banaras Hindu University 2015  
32 25493 Ms. Uzma Naaz Female Integral University PhD Scholar Integral University 2017  
33 25497 Mr. Abdul Faiz Ansari Male Integral University Ph.D. Scholar University Of Lucknow 2017  
34 25550 Ms. Shilpa Gupta Female BITS Pilani, Pilani Ph.D Scholar Banasthali Vidyapith 2017  
35 25655 Mr. Narayanan P Male IISER Int PhD IISER Appeared  
36 25702 Ms. Riya Jain Female Birla Institute of Technology and Science (BITS) PhD South Asian University 2018  
37 25805 Mr. Tejbir Lohan Male Iiser Mohali Phd IIT Kanpur 2018  
38 25853 Mr. Rahul Arora Male Malwa College Assistant Professor S.C.D Government College 2008  
 Waiting List 
1 25487 Mr. Ashok Kumar Male Banaras Hindu University PhD Kanpur University 2016  
2 25265 Mr. Vishal Sharma Male Central University of Jammu Ph.D. Himachal Pradesh University Shimla - M.Sc. 2017  
3 25141 Mr. Rahul Kumar Male University of Jammu PhD Scholar University of Jammu 2015  
4 24549 Mr. Mohit Pal Male IIT Jammu PhD IIT Kharagpur 2016  
5 24707 Mr. Ravi Kumar Male Central University of South Bihar PhD Central University of South Bihar 2015  
6 25696 Mr. Kaushal Gupta Male IIT BHU PhD IIT Kanpur 2017 01/01/2019

 

 

How to Reach: 

TBA

School Short Name: 

afsi-allahabad

Last Date Application: 

Wednesday, February 28, 2018

School Type: 

AFS-I