Annual Foundation Schools Part I - (2014 NISER, Bhubaneswar)

Venue: NISER, Bhubaneswar
Dates:
1st to 27th Dec ,2014

 

Convener(s) Speakers, Syllabus and Time table Applicants/Participants

 

School Convener(s)
Name Proff. V. Muruganandam
Mailing Address School of Mathematical Sciences,
National Institute of Science Education and Research,
Institute of Physics Campus,
PO- Sainik School, Bhubaneswar
Odisha, PIN-751 005

 

Speakers and Syllabus 

School of Mathematical Sciences, National Institute of Science Education and Research (NISER) is planning to organize Annual Foundation School (AFS I) during Dec, 1, to 27, 2014. NISER is a newly established research institution in India that operates under the umbrella of the Department of Atomic Energy (DAE) and strives to become a center of Excellence in science education and research in four basic sciences viz., Biology, Chemistry, Mathematics and Physics and in related areas.

This AFS school aims at training the students to master the art of doing mathematics by exposing the basic subjects in mathematics, which they need to know whatever be their subject of research, .. viz., Algebra, Analysis and Topology, by eminent mathematicians of India. We would be adhering to the syllabus given in
http://www.atmschools.org/

This program is going to be held in the new sprawling campus of NISER, in Jatani, Bhubaneswar.

Syllabus:

Name of the
Speaker		 Affiliation No.of Lectures Detailed Syllabus

Prof. Pradipta
Bandyopadhyay

 I.S.I, Kolkata

04
(1 1⁄2 Hrs
each)

 Basics Abstract measure spaces and the concept of measurability, simple functions, basic properties of measures, Lebesgue integration of positive functions and complex values functions, measure zero sets, completion of a measure and outer measure.
Prof P. S.
Parameswaran
Sankaran		 I.M. Sc, Chennai 04
(1 1⁄2 Hrs
each)		 Open sets and closes sets, limit points, closure and boundary points, subspace, Bases
and sub bases. Continuous functions, open functions, closed functions, homeomorphisms.
Prof. S.
Thangavelu 		I.I. Sc, Bangalore 04
(1 1⁄2 Hrs
each)		 Integration on products, Monotone classes, algebra on products, product measure,
Fibini, completion, convolution.
Prof.
Varadharajan
Muruganandam		 SMS, NISER 08
(1 1⁄2 Hrs
each)		 Review of Multivariable Differential Calculus, Differentiability of functions on open subsets of Rn , relation with partial/directional derivative, Taylor’s theorem etc. Inverse and implicit functions theorems, rank theorem, Differentiability of functions on arbitrary subsets of subsets of Rn , diffeomorphisms, smooth version of invariance of domain. Richness of smooth functions, smooth partition of unity and consequences on subspaces of Rn such as approximation of continuous functions by smooth functions.Sard’s thermo for smooth functions Rn ->Rm and some applications.
Dr. Bundaban
Sahu		 SMS,
NISER		 06
(1 1⁄2 Hrs
each)		 Basic examples of groups such as cyclic groups, dihedral and quanternion groups, matrix groups and permutation groups, review of normal subgroups and isomorphism theorems, internal and direct products. Isometries of Rn and plane, group actions, finite subgroups of SO(2) and SO(3).
Dr. Binod Sahoo SMS, NISER 06
(1 1⁄2 Hrs
each)		 Sylow Theory, classification of finite groups of order 12, simplicity of the alternating groups and PSL(V) solvable groups, p-groups, Jordan-Holder theorem.
Dr. Manoj Kumar
Yadav		 HRI 04
(1 1⁄2 Hrs
each)		 Linear groups, classical groups, SU(2), latitudes and longitudes on the 3-sphere, simplicity of SO(3), normal subgroups of SL(2, F).
Dr. Sanjay Parui SMS, NISER 04
(1 1⁄2 Hrs
each)		 Differentiation Maximal functions, Lebasgue points, I Fundamental Theorem of
integral calculus, Absolutely continuous functions, II fundamental theorem of integral
calculus. Change of variable formula.
Dr. Saugata
Bandyopadhyay		 IISER, Kolkata 04
(1 1⁄2 Hrs
each)		 Positive Borel Measures, Topological preliminaries on locally compact Hausdorff spaces, Riesz representation theorem (outline of the proof), Borel measures, Lebesgue measure on Rk , comparison with Riemann integration. Approximation by continuous functions, Generalized Riesz representation theorem.
Dr. Samik Basu Dept. of Math.
Ramakrishna
Mission
Vivekananda
University, Belur
Math, W. B.		 04
(1 1⁄2 Hrs
each)		 Basic point-set topology part (b). Induced and coinduced topologies. Quotient topology, separation axioms under quotient topology, criterion for the restriction of a quotient map to be a quotient map, examples such as cones, cylinders, Mobius strips etc. Paracompactness and partition of unity, Stone’s theorem (para- compactness of
metric topology). Topological groups and orbit spaces. Examples from matrix groups. Function spaces, compact-open-topology and exponential correspondence.

 

Time-Table

Day Date

Lecture1

09.30 - 11.00

Tea

11.00

Lecture 2

11.30 - 01.00

 

Lunch

01.00 - 02.30

 Tutorial
2.30 – 3.30		 Tea
3.30 		Tutorial
4.00 - 5.00
    (name/initial of
the speaker)		   (name/initial of
the speaker)		   (name/initial of
the speaker/tutor)		   (name/initial of
the speaker/tutor)
Mon 1.12.2014 Dr. Brundaban
Sahu		    Prof. Pradipta
Bandyopadhyay		    Dr. Brundaban
Sahu		     Prof. Pradipta
Bandyopadhyay
Tues 2.12.2014 Prof. Pradipta
Bandyopadhyay		    Prof.
Parameswaran
Sankaran		    Prof. Pradipta
Bandyopadhyay		    Prof.
Parameswaran
Sankaran
Wed 3.12.2014  Prof.
Parameswaran
Sankaran		   Dr. Brundaban
Sahu		    Prof.
Parameswaran
Sankaran		    Dr. Brundaban
Sahu
Thu 4.12.2014  Dr. Brundaban
Sahu		     Prof. Pradipta
Bandyopadhyay		     Dr. Brundaban
Sahu		      Prof. Pradipta
Bandyopadhyay
Fri 5.12.2014  Prof. Pradipta
Bandyopadhyay		    Prof.
Parameswaran
Sankaran		    Prof. Pradipta
Bandyopadhyay		    Prof.
Parameswaran
Sankaran
Sat 6.12.2014  Prof.
Parameswaran
Sankaran		    Dr. Brundaban
Sahu		    Prof.
Parameswaran
Sankaran		     Dr. Brundaban
Sahu
Mon 8.12.2014  Dr. Brundaban
Sahu		    Dr. Saugata
Bandyopadhyay		    Dr. Brundaban
Sahu		    Dr. Saugata
Bandyopadhyay
Tues 9.12.2014  Dr. Saugata
Bandyopadhyay		    Prof.Varadharajan
Muruganandam		   Dr. Saugata
Bandyopadhyay		    Prof.Varadharajan
Muruganandam
Wed 10.12.2014  Prof.Varadharajan
Muruganandam		     Dr. Brundaban
Sahu		     Prof.Varadharajan
Muruganandam		    Dr. Brundaban
Sahu
Thu 11.12.2014  Dr. Binod Sahoo     Dr. Saugata
Bandyopadhyay		    Dr. Binod Sahoo    Dr. Saugata
Bandyopadhyay
Fri 12.12.2014 Dr. Saugata
Bandyopadhyay		    Prof.Varadharajan
Muruganandam		    Dr. Saugata
Bandyopadhyay		    Prof.Varadharajan
Muruganandam
Sat 13.12.2014  Prof. Varadharajan
Muruganandam		    Dr. Binod Sahoo    Prof. Varadharajan
Muruganandam		     Dr. Binod Sahoo
Mon 15.12.2014  Dr. Binod Sahoo     Dr. Sanjay Parui    Dr. Binod Sahoo    Dr. Sanjay Parui
Tues 16.12.2014  Dr. Sanjay Parui    Prof.
Varadharajan
Muruganandam		   Dr. Sanjay Parui    Prof.
Varadharajan
Muruganandam
Wed 17.12.2014  Prof.
Varadharajan
Muruganandam		    Dr. Binod Sahoo    Prof.
Varadharajan
Muruganandam		    Dr. Binod Sahoo
Thu 18.12.2014  Dr. Binod Sahoo     Dr. Sanjay Parui     Dr. Binod Sahoo     Dr. Sanjay Parui
Fri 19.12.2014  Dr. Sanjay Parui    Prof.
Varadharajan
Muruganandam		    Dr. Sanjay Parui    Prof.
Varadharajan
Muruganandam
Sat 20.12.2014  Prof.
Varadharajan
Muruganandam		    Dr. Binod Sahoo    Prof.
Varadharajan
Muruganandam		     Dr. Binod Sahoo
Mon 22.12.2014  Dr. Manoj Kumar
Yadav		    Dr. Samik Basu    Dr. Manoj Kumar
Yadav		     Dr. Samik Basu
Tues 23.12.2014  Dr. Samik Basu    Prof. S
Thangavelu		    Dr. Samik Basu    Prof. S
Thangavelu
Wed 24.12.2014 Prof. S Thangavelu    Dr. Manoj Kumar
Yadav		    Prof. S Thangavelu    Dr. Manoj Kumar
Yadav
Thu 25.12.2014  Dr. Manoj Kumar
Yadav		    Dr. Samik Basu     Dr. Manoj Kumar
Yadav		     Dr. Samik Basu
Fri 26.12.2014  Dr. Samik Basu    Prof. S Thangavelu    Dr. Samik Basu     Prof. S Thangavelu
Sat 27.12.2014  Prof. S
Thangavelu		     Dr. Manoj Kumar
Yadav		    Prof. S
Thangavelu		    Dr. Manoj Kumar
Yadav

Tutorial Assistants:

S.No. Name Affiliation
1 Dr. V. Subhash School Of Mathematical Sciences, NISER
2 --Not yet assigned--  
3 --Not yet assigned--  

 

Selected Applicants

Instructions to selected candidates:

 

  1. Selected candidates will confirm their participation by 5th October by sending scanned copies of their forward journey tickets to the respective conveners, (NOT  to the coordinator A. R. Shastri)  failing which corresponding number of candidates from the wait-list will be selected.
  2. Even after the confirmation, for any reason what-so-ever, if a candidate decides to drop out, he/she is requested to inform this immediately to the organizers.
  3. Selected candidates will correspond with the respective conveners for all further matters concerning the school.
  4. All wait-listed  candidates are also advised to make advance booking in anticipation of getting a chance. 
  5. KEEP VISITING THE NCM PAGE and the links of the respective pages for further instructions regarding the school such as preparation, course material,  how to reach etc.

First List

Sr. SID Full name Gender Affiliation City , State Position in College/ University University/ Institute M.Sc./M.A. Year of Passing M.Sc./ M.A
1 6559 Mr. Jalil Sayyed Male Swami Ramanand Tirth University,
Vishnupuri,Nanded		 Nanded , Maharashtra Research scholar Swami Ramanand Tirth University,
Vishnupuri,Nanded		 2012
2 6564 Ms. Kavita Khandelwal Female MNIT, Jaipur Jaipur , Rajasthan PhD University of Rajasthan 2008
3 6565 Mr. Prasanta Kumar Barik Male IIT ROORKEE Roorkee , Uttarakhand/ Uttaranchal 1ST YEAR Ph.D Student RAVENSHAW UNIVERSITY 2009
4 6567 Mr. Jagannath Bhanja Male IIT ROORKEE Uttarakhand , Uttarakhand/ Uttaranchal 1ST YEAR Ph.D Student UTKAL UNIVERSITY 2012
5 6605 Mr Sumanth Bharadwaj H S Male Bangalore University Bangalore , Karnataka PhD Bangalore University 2008
6 6662 Mr. Dharmendra Kumar Male IIT Gandhinagar Ahmedabad , Gujarat PhD IIT Guwahati 2012
7 6666 Mr Nabin Kumar Meher Male HRI, Allahabad Allahabad , Uttar Pradesh RESEARCH SCHOLAR IIT KANPUR 2011
8 6754 Mr Susanta Kumar Indrajitsingha Male Berhampur university Berhampur , Orissa PhD BERHAMPUR UNIVERSITY 2013
9 6765 Mr. Theeda Prasad Male Indian Institute of Technology,Hyderabad. Medak , Andhra Pradesh PhD Student Indian Institute of technology,Kanpur 2007
10 6770 Mr. Mahesh Kumar Dubey Male Indian school of mines Dhanbad , Jharkhand Ph.D. BANARAS HINDU UNIVERSITY 2012
11 6771 Mr. Dilip Jain Male Sardar Vallabhbhai National Institute of Technology, Surat Surat , Gujarat PhD I. I. T. Delhi 2012
12 6780 Mr. Puneet Kumar Maurya Male Indian School of Mines Dhanbad Dhanbad , Jharkhand PhD Student Banaras Hindu University Varanasi 2012
13 6791 Ms. Preeti Sharma Female Sardar vallabhbhai National Institute of Technology,Surat Surat , Gujarat Ph.d Scholar IIT GUWAHATI 2012
14 6826 Ms. Geethika Sebastian Female INDIAN INSTITUTE OF TECHNOLOGY HYDERABAD Hyderabad , Andhra Pradesh PhD INDIAN INSTITUTE OF TECHNOLOGY GUWAHATI 2013
15 6827 Mr. Jitendra Kumar Malik Male  Sambalpur university, jyotivihar, burla, sambalpur Sambalpur , Orissa Ph.D. UTKAL UNIVERSITY, ODISHA 2012
16 6842 Ms. Priti Kumari Female INDIAN SCHOOL OF MINES,DHANBAD Dhanbad , Jharkhand PhD INDIAN SCHOOL OF MINES,DHANBAD 2013
17 6878 Ms Sheetal Deshwal Female IIT ROORKEE Roorkee , Uttarakhand/ Uttaranchal Research scholar IIT ROORKEE 2013
18 6880 Ms Tarul Garg Female IIT ROORKEE Roorkee , Uttarakhand/ Uttaranchal Research scholar IIT ROORKEE 2013
19 6881 Mr Vivek Kumar Male IIT ROORKEE Uttarakhand/ Uttaranchal Research scholar DDU GORAKHPUR UNIVERSITY,GORAKHPUR 2013
20 7003 Mr. Guddu Kumar Male ISM DHANBAD Dhanbad , Jharkhand PhD IISER KOLKATA 2014
21 7016 Mr Ashis Kumar Pati Male IISER Kolkata Kolkata , West Bengal Int PhD IISER Kolkata 2014
22 7117 Mr Dillip Kumar Pradhan Male National Institute of Technology Rourkela , Orissa PhD Sambalpur University 2011
23 7122 Mrs. Renu Renu Female ISM DHANBAD Dhanbad , Jharkhand PhD b.h.u. 2012
24 7130 Mr. Ramesh Prasad Panda Male INDIAN INSTITUTE OF TECHNOLOGY GUWAHATI Guwahati , Assam PhD Student INDIAN INSTITUTE OF TECHNOLOGY KANPUR 2012
25 7162 Mr. Ashish Kumar Kesarwany Male IIT Guwahati Guwahati , Assam PhD IIT KANPUR 2013
26 7164 Mr. Suman Paul Male IIT Kanpur Kanpur , Uttar Pradesh PhD IIT Kanpur 2014
27 7177 Mr Praphulla Kumar Koushik Male IIT, Bombay Mumbai , Maharashtra PhD University Of Hyderabad 2013
28 7181 Ms. Sudeshna Roy Female IIT BOMBAY Mumbai , Maharashtra PhD JADAVPUR UNIVERSITY 2013
29 6930 Mr. Samiran Mandal Male ndian Institute of Technology, Bhubaneswar Bhubaneswar , Orissa Joint M.Sc.-Ph.D. Student ndian Institute of Technology, Bhubaneswar Appeared / Awaiting Result

Wait List:

Sr. SID Full Name
 Gender Affiliation State Position University/ Institute M.Sc./M.A. Year of Passing M.Sc./M.A Ph.D. Degree Date
1 6658 Mr Ramesh Kumar Devaraj Male Ramanujan Institute For Advanced Study In Mathematics,
University Of Madras.		 Tamil Nadu Ph.D. University Of Madras 2011 9 Apr 2014
2 6940 Mr Bidu Bhusan Jena Male VSSUT Orissa Ph.D Ravenshaw Uniersity 2011 7 Aug 2014
3 7024 Mr. Manoj Bhagubhai Prajapati Male Jawaharlal Nehru University Delhi Pre-Ph.D Sardar Patel University 2014  
4 6951 Ms. Santosini Panda Female Sambalpur University Orissa Mphil Student Utkal University 2012  
5 7004 Mr Priyaranjan Mallick Male Utkal University Orissa Mphil Utkal University 2013  
6 7006 Mr Satyajit Sahoo Male Utkal University Orissa Mphil Utkal University 2013  
7 7132 Mr. Jatinkumar Girdharlal Patel Male Department Of Mathematics, Vallabh Vidhya Nagar Gujarat Mphi Sardar Patel University, V.V.Nagar 2014  
8 7135 Mr. Vatsalkumar Nandkishor Mer Male Department Of Mathematics, Sardar Patel University Gujarat M.Phil Sardar Patel Univarsity 2014  
9 6755 Mr. Pabitra Kumar Pradhan Male Berhampur University Orissa M.Phil Utkal University 2013  
10 6786 Ms. Debasmita Mohapatra Female Sambalpur University Orissa Project Fellow Ravenshaw University Odisha 2011  

 

 

How to reach

http://www.niser.ac.in/institute.php?p=how2reach