Annual Foundation School - I (UOHHYD 2019)

  Convener(s)
Name: Mohan Chintamani Shanta Laishram
Mailing Address:

School of Mathematics & Statistics,
University of Hyderabad – 500 0046

 Indian Statistical Institute
7 S J S Sansanwal Marg,
New Delhi - 110016
Email: mncsm at uohyd.ernet.in shanta at isid.ac.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: 

School of Mathematcis & Statistics
University of Hyderabad
Gachibowli,
Hyderabad - 500046

Venue State: 

Venue City: 

PIN: 

5000046

Chrono Order: 

325

Syllabus: 

Name of the Speakers with their affiliation. No. of Lectures Detailed Syllabus
ALGEBRA
Dr. Archana Morye (AM)
UoH, Hyderabad		 6 [Artin, Ch 6] ]Group Actions, Cayley’s Theorem, Class Equation, Simple Group & Examples,  Icosahedral group, Sylow Theorems and its applications, Free group, Generators and Relations
Prof. Sameer Chavan (SC)
IIT Kanpur		 6 [Artin, Ch 7] Bilinear forms, Symmetric forms : Orthogonality, Orthogonal projection, Hermitian Forms, Spectral Theorem, Conics and Quadric
Prof. Shanta Laishram
(SL) ISI Delhi		 6 Artin, Ch 8] Classical Linear Groups, Special Unitary Group SU(2) and its Orthogonal Representation SL(2,R), One-parameter subgroups, Lie Algebra & Simple Groups
Dr. Mohan Chintamani
(MC) UoH, Hyderabad		 6 [Artin, Ch 9] 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)
ANALYSIS
Prof. R Thangadurai (RT)
HRI, Prayagraj
(Allahabad)		 6 [SS] 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. Purusottam Rath
(PR) CMI, Chennai		 6 [SS] Morera’s Theorem,, Sequences of holomorphic functions, Schwarz reflection principle, Runge’s approximation theorem, Zeros and Poles, Residue Formula
Prof. S. Ilangovan (SI)
UoH, Hyderabad		 6 [SS] 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. S. Sivananthan (SS)
IIT Delhi		 6 [SS] Fourier Transform, Class of Holomorphic functions, Paley-Wiener Theorem
TOPOLOGY
Dr. TKS Moothathu (TM)
UoH, Hyderabad		 6 [Simmons] 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. Sanoli Gun (SG)
IMSc, Chennai		 6 [Simmons] 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
Dr. Prabal Paul
(PP) BITS Goa		 6 [Simmons]  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. M S Datt (MS)
UoH, Hyderabad		 6 [Simmons, Armstrong] 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  [Artin]
2. Complex Analysis, Stein E.M and Rami Shakarchi  [SS]
3. Introduction to Topology and Modern Analysis, G.F.Simmons [Simmons]
4. Basic Topology, M.A. Armstrong [Armstrong]

Names of the tutors / course associate with their affiliation :

1. Laba Sa [LS] (UoH)
2. Mansoor Ali [MA] (UoH)
3. Rubayya [Rb] (UoH)
4. Arijit [Ar](UoH)
5. Pabitra Mandal [PM] (UoH)
6. Bijay Sahoo [BSa](BITS Goa)
7. Vandana Pandey[VP] (BITS Goa)
8. Shayantan G [ShG](BITS Goa)
9. Pramod Ghatage[PG] (SSMM, Pune)
10. Biman Roy [BR](ISI, Delhi)
11. Manabendra Giri[MG] (ISI Delhi)
12. One/Two Tutors to be Announced/Decided Later.

Time Table: 

Day   Date Lecture 1 Tea Lecture 2 Lunch Tutorial 1 Tea Tutorial 2 Snacks
(9.30– 11.00) (11.05– 11.25) (11.30– 1.00) (1.05– 2.25) 2.30 – 3.30) (3.35- 3.55) 4.00 – 5.00 5.05-5.30
Speaker   Speaker   Tutor   Tutor  
Mon 06-05- 2019 TM   RT   Topology (PM/Rb)   Topology (PM/Rb)  
Tues 07-05- 2019 AM   TM   Analysis (MA/ShG)   Analysis (MA/ShG)  
Wed 08-05- 2019 RT   AM   Algebra (LS/Ar)   Algebra (LS/Ar)  
Thu 09-05- 2019 TM   RT   Topology (PM/Rb)   Topology (PM/Rb)  
Fri 10-05- 2019 AM   TM   Analysis (MA/ShG)   Analysis (MA/ShG)  
Sat 11-05- 2019 RT   AM   Algebra (LS/Ar)   Algebra (LS/Ar)  
SUNDAY: HOLIDAY
Mon 13-05- 2019 PR   SG   Topology (BR/MG)   Topology (BR/MG)  
Tue 14-05- 2019 SC   PR   Analysis (LS/Ar)   Analysis (LS/Ar)  
Wed 15-05- 2019 SG   SC   Algebra (PM/PG)   Algebra (PM/PG)  
Thu 16-05- 2019 PR   SG   Topology (BR/MG)   Topology (BR/MG)  
Fri 17-05-2019 SC   PR   Analysis   Analysis  
Sat 18-05-2019 SG   SC   (ShG/Ar) Algebra (PM/PG)   (ShG/Ar) Algebra (PM/PG)  
SUNDAY: HOLIDAY
Day   Date   Lecture 1 Tea Lecture 2 Lunch Tutorial 1 Tea Tutorial 2 Snacks
(9.30-11.00) (11.05– 11.25) (11.30– 1.00) (1.05– 2.25) 2.30 – 3.30) (3.35- 3.55) 4.00 – 5.00 5.05-5.30
Speaker   Speaker   Tutor   Tutor  
Mon 20-05- 2019 SI   PP   Analysis (BSa/Rb)   Analysis (BSa/Rb)  
Tue 21-05- 2019 SL   SI   Topology (BP/BSa)   Topology (BP/BSa)  
Wed 22-05- 2019 SI   PP   Algebra (BR/MG)   Algebra (BR/MG)  
Thu 23-05- 2019 SL   SI   Analysis (PG/Rb)   Analysis (PG/Rb)  
Fri 24-05- 2019 PP   SL   Topology (ShG/BP)   Topology (ShG/BP)  
Sat 25-05- 2019 PP   SL   Algebra (BR/MG)   Algebra (MG/BR)  
SUNDAY: HOLIDAY
Mon 27-05- 2019 SS   MC   Topology (MA/Rb)   Topology (MA/Rb)  
Tue 28-05- 2019 MD   SS   Analysis (BSa/BP)   Analysis (BSa/BP)  
Wed 29-05- 2019 MC   MD   Algebra (LS/BR)   Algebra (LS/BR)  
Thu 30-05- 2019 SS   MC   Topology (MA/BP)   Topology (MA/BP)  
Fri 31-05- 2019 MD   SS   Analysis (BSa/PG)   Analysis (BSa/PG)  
Sat 01-06- 2019 MC   MD   Algebra (LS/MG)   Algebra (LS/MG)  

 

 

 

Selected Applicants: 

 Selected applicants have to Confirm their participation in the programme to mncsm@uohyd.ernet.in as soon as possible before 22nd march 2019.  

Sr.n SID Full Name Gender Affiliation Position in College/ University University/I nstitute M.Sc./ M.A. Year of Passing M.Sc./ M.A Ph.D. Degree Date
1 24505 Mr Ranganath M S Male Vijayanagar Srikrishnadevaraya University PhD student Tumkur University 2016  
2 24506 Mr Mahendra D L Male Vijayanagara Shri Krishnadevaraya university Research Scholar Bangalore university 2014  
3 24514 Mr. Jeyarambharathi A.M. Male Hindustan Institute Of Technology And Science PhD student MAHER 2016  
4 24516 Ms Sarojini Sowmiya Manohar Female Bharathidasan University PhD Central University Of Tamil Nadu 2016  
5 24683 Mr. P.Jitendra Kumar Senapati Male BITS pilani Goa PhD Berhampur University 2014  
6 24777 Mr Pradipkumar Laishram Male Manipur University Phd Manipur University 2017  
7 24790 Mr. Kotte Amaranadha Reddy Male Teaching Cum Research Assistant PhD Sri Venkateswara University 2016  
8 24798 Ms Shantha Kumari Y Female Vijayanagara Sri Krishnadevaraya University,Bellary PhD M.Sc 2016 01/11/2018
9 24899 Mr. Akshay Kumar Male university of Hyderabad PhD Banaras Hindu University 2017  
10 24932 Ms. Suriyapriya K Female National Institute of Technology PhD Student Bharathidasan University, Tiruchirappalli, Tamilnadu-620024 2018  
11 24953 Ms. Shivani Sharma Female Ambedkar University Delhi Mphil Student Hansraj College, University Of Delhi 2016  
12 25045 Mr. Joydev Halder Male University Of Hyderabad PhD University of Hyderabad 2017  
13 25054 Ms Bhushna Sekar Female Manonmaniam Sundarnar University MPhil Student National College 2018  
14 25079 Ms Megala M Female IIT tirupati PhD Govt arts college,tiruvannamalai.(M.sc) 2014  
15 25091 Ms J U Viharika Female Vijayanagara Sri Krishnadevaraya University phD VSK University 2018  
16 25096 Ms Archana Bhat Female National Institute Of Technology Warangal PhD Student Central University Of Karnataka, Kalaburagi 2017  
17 25097 Mr Basharat Hussain Male maulana azad national urdu university PhD jamia millia islamia 2017  
18 25113 Mr. Md Ibrahim Molla Male Ramakrishna Mission Vivekananda Educational and Research Institute Ph. D University of Calcutta, Ballygunge Science College 2018  
19 25162 Ms. Devichandrika V Female University Of Hyderabad Ph.D Central University Of Kerala 2018  
20 25221 Mr. Debasish Sadhukhan Male IISER Tirupati PhD University Of Hyderabad 2017  
21 25355 Mr Anshid Aboobacker Male University of Hyderabad MSc Student University of Hyderabad Appeared / Awaiting Result  
22 25376 Ms. Roshni T Roy Female Central University of Kerala PhD St Berchmans College 2017  
23 25378 Ms. Soorya P Female Central University of Kerala PhD Mahatma Gandhi College 2016  
24 25409 Mr. Sumangal Bhattacharya Male IIT Tirupati PhD Indian Institute of Engineering Science and Technology, Shibpur 2016  
25 25415 Mr Faiz Imam Male BITS Hyderabad PhD University of Hyderabad 2017  
26 25442 Ms Asha Sebastian Female National Institute Of Technology, Tiruchirappalli PhD student National Institute of Technology, Calicut 2014  
27 25445 Ms Sreenanda S B Female University of Hyderabad PhD Pondicherry University 2017  
28 25505 Mr. Sarbajit Dey Male Indian Statistical Institute M. Math Student Indian Statistical Institute    
29 25664 Ms Sangeetha K V Female National Institute of Technology PhD Student Central University of Tamil Nadu 2016  
30 25692 Mr. Aravind Vishnu S S Male Amrita Vishwa Vidyapeetham PhD Student Cochin University of Science and Technology 2017  
31 25704 Mr. Ranajit Goswami Male NIT Durgapur PhD Student University Of Hyderabad 2018  
32 25784 Mr. Pratap Saha Male The University Of Burdwan Ph.D SCHOLAR The University Of Burdwan 2017  
33 25810 Ms. Sruthi K K Female Cochin University of Science and Technology MSc passed Cochin University of Science and Technology 2018  
34 25825 Mr. Md Adud Male University of Burdwan Ph.D IIT ,Kanpur 2017  
35 25835 Mr. Kishan Indravadan Vyas Male St. Xavier's College Asst. Professor Gujarat University 2016  
36 25424 Ms Amudhavalli B - Female Bharathidasan University Constituent Arts & Science College MSC Completed University 2018  
37 25438 Mr. Shijin T V Male Central University of Kerala PhD Mahatma Gandhi College 2016  
38 25644 Mr. Navin Tomy Male Cochin University Of Science And Technology PhD Cochin University Of Science And Technology 2017  
39 25650 Ms. Rupsa Mitra Female IIT(ISM) Dhanbad Ph.D. IIT(ISM) Dhanbad 2018  
40 25663 Ms Kanaga R Female National Institute of Technology PhD student Bharathidasan University 2017  
  Waiting list      
1 24906 Mr. Bharat Kumar Male IIITDM, Jabalpur M.P. Ph.D. Student NIT Rourkela 2017  
2 25111 Mr. Suryanarayana Murty Ponnada Male IIT Tirupati PhD Andhra University 2007  
3 25531 Mr Karnan A Male The Gandhigram Rural Institute (Deemed to be University) PhD Student The Gandhigram Rural Institute - Deemed to be University 2017  

 

 

How to Reach: 

TBA

School Short Name: 

afsi-hyderabad

Last Date Application: 

Wednesday, February 28, 2018

List of Conveners: 

  • Mohan Chintamani
  • Shanta Laishram

 

School Type: 

AFS-I