Annual Foundation School - Part II (2011)

Venue: Panjab University, Chandigarh
Dates:  2 Jun - 29 Jun, 2011

 

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

 

School Convener(s)

Name Vinod Kumar Grover
Vikas Bist
Mailing Address Professor, Centre for Advanced studies in Mathematics,
Panjab University,
Chandigarh-b160014
Associate Professor
Centre for Advanced studies in Mathematics,
Panjab University,
Chandigarh-b160014

 

Speakers and Syllabus 

 

Speaker  Lectures   Detailed Syllabus

Algebra

Prof. Dilip Patil 6 Prime and maximal ideals,Zariski topology,Nil and Jacobson radicals, localization of rings and modules, Noetherian rings, Hilbert basis theorem, modules, primary decomposition.
Dr. Amit Kulshrestha 6 Group actions, Prime power groups, Nilpotent groups Soluble groups, Matrix groups, Groups and symmetry.
Prof. J.K. Verma 6 Integral dependence, Noether normalization lemma, Principal ideal theorem, Hilbert,s Nulstallensatz, Structure of artenion rings, Dedekind domains.
Prof.S.K.Khanduja 6 Introduction to Algebraic Number Theory.

Complex Analysis

Prof. Satish Shirali

 

Prof. V.K. Grove                            

6

 

6

Analytic functions, Path integrals, Winding numbers, Cauchy integral formula and consequances, Isolated singularities, Residue theorem and Liouville theorem.

Cosarati Weirstrass theorem, Bilinear transformations, Schwarz,s lemma,Argument principle and Rouche,s theorem.

Prof. Raghvendra 6 Analytic continuation, Hadamard Gap theorem, Bloch Landau theorem, Picard,s theorems, Extremal matrix, Reimann maping theorem
Prof. R. R. Simha 6 Runge,s theorem Infinite product, Weistrass P-function, Mittag-leffler expansion.

Topology

Dr. Chanchal Kumar 6 Basic notion of homotopy, Contractibility, deformation etc, some basic constructions such as cone suspantion, maping cylinders etc. Fundamental group; computation for the circle. Covering spaces and fundamental group, Simlicial and CW complexes.
Prof. Kapil Pranjape. 6 Homology theory and applications; Smplicial homology, Singular homology, Cllular homology of CW complexes, Jordan Brouwer separation theorem, Invariance of domain, Lefshetz fixed point theorem etc.
Prof. Stya Deo 6 Category and functors Axiomatic homology theory.

 Unity in Mathematics

Speaker Lectures
Prof. I.B.S. Passi 3
Prof. R. J. Hans-Gill 3

 

Selected Applicants

 

Sr Name

Date Of Birth

Gender Name and Address of college/University Current courses of study Email ID
1 Ram Kishor Pandey Nov 6, 1982 Male Department of Applied Mathematics, Institute of technology, Banaras Hindy University, Varanasi-221005 Ph. D pandeywavelet
at
gmail.com
2 Umamaheswaran Arunachalam Jun 6, 1982 Male Research Scholar Periyar University, Salem, Tamil Nadu Ph. D ruthreswar
at
yahoo.co.in
3 Udhayakumar Ramalingam Mar 5, 1986 Male Research Scholar Periyar University, Salem, Tamil Nadu Ph. D udhayaram_v
at
yahoo.co.in
4 Bhumarapu Venkateswarlu Venki Jul 7, 1979 Male Department of.Mathematics, Sri Venkateswara University, Tirupati, Chittoor(DT), Andhara Pradesh. Ph. D vsmaths
at
yahoo.com
5 Shiv Parsad Jun 16, 1985 Male Research Scholar, IISER Mohali, Punjab Ph. D parsad.shiv
at
gmail.com
6 Dilpreet Kaur Apr 12, 1986 Female Research Scholar IISER Mohali, Punjab Ph.D poonamubhi
at
yahoo.com
7 Sonica Anand Apr 13, 1987 Female Research Scholar, IISER Mohali, Punjab Ph. D sonica.anand
at
gmail.com
8 Rajbir Kaur Nov 22, 1982 Female Research Scholar, Department of Mathematics, NIT Hamirpur, H.P. Ph.D. kaur.rajbir22
at
gmail.com
9 Rashmi Kewat Aug 4, 1987 Female Research scholar, Department of Pure and Applied Mathematics Guru Ghasidas Vishwavidyalaya Bilaspur(Chhattisgarh) 495 009 Ph.D rashmikwt
at
gmail.com
10 K.Prem Kumar May 17, 1986 Male Research Student, Ramanujan School of Mathematics and Computer Science,Department of Mathematics Pondicherry University,Pondicherry - 605014. Ph.D prem.pondiuni
at
gmail.com
11 Balannagari Devika Jun 20, 1986 Female - Ph.D devikamathematics
at
gmail.com
12 Senthil Kumar Jun 28, 1984 Male Research Scholar, HRI, Allahabad - 211019, Uttar Pradesh. Ph.D contactsenthil123
at
gmail.com
13 Suresh M Jun 24, 1989 Male The Madurai Diraviyam Thayumanavar Hindu College, Pettai,Tirunelveli - 627 010 Tamilnadu M.Sc sureshpradeep30
at
gmail.com
14 Priyambada Tripathi Jul 21, 1986 Female Assitant Professor( Adhoc), SRI Aurbindo College, Malviya nagar, New Delhi-110017. Ph.D complexpriyam23
at
gmail.com
15 Varun Jindal Jan 24, 1987 Male Research Scholar, Department of Mathematics, IIT-Delhi Hauz Khas, Delhi 110016 Ph. D varunjindal.iitd
at
gmail.com
16 Rajlaxmi Mukherjee (Pal) Nov 4, 1986 Female Research Scholar, Department of Mathematics, Jadavpur University, 188 Raja S.C.Mullick Road , Kolkata-700032 Ph.D. ju.rajlaxmi
at
gmail.com
17 Pavel Pal Sep 4, 1986 Male Research Scholar, Department of Mathematics, Jadavpur University, 188 Raja S.C.Mullick Road , Kolkata-700032 Ph.D ju.pavel86
at
gmail.com
18 Nitin Aurora Jun 3, 1981 Male Research Scholar, Department of Mathematics, IIT-Delhi Hauz Khas, Delhi 110016 Ph. D nitinarora81
at
gmail.com
19 Kiran M. K. Dec 1, 1980 Male Lecturer, Department of Mathematics, BIDDI Bangalore   k111
at
gmail.com
20 Kalpana Thakur Aug 27, 1986 Female Sir Parshurambhau College, Tilak road, Pune 411046. M.Sc maitreyee212
at
gmail.com
21 Ravindra Kishore Bisht Apr 2, 1985 Male Research Scholar, Department of Mathematics, D.S.B. Campus, Kumaon Univeristy, Nainital, Uttrakhand Ph. D ravindra.bisht
at
yahoo.com
22 Ajay Gairola Jul 1, 1986 Male Research Scholar, Department of Mathematics, D.S.B. Campus, Kumaon Univeristy, Nainital, Uttrakhand Ph. D ajjumath
at
gmail.com
23 Harpreet Kaur Feb 8, 1987 Female Assistsant Professor, U.I,C.E.T. Panjab University Chandigarh   ajjumath
at
gmail.com
24 Rani Kumari Mar 6, 1985 Female University of Delhi M.Phil ajjumath
at
gmail.com
25 Rekha Biswal Jul 1, 1989 Female Student, IIT, Bombay, Powai, Mumbai - 400076. M.Sc. rekhabiswal27
at
gmail.com
26 Rakesh Ratnakar Pawar Oct 18, 1989 Male Student, IIT, Bombay, Powai, Mumbai - 400076. M. Sc. rakeshpawar
at
math.iitb.ac.in
27 Siddharth Mathur Jun 1, 1986 Male Central European University, Budapest Hungary M. Sc. siddharth.p.mathur
at
gmail.com
28 Dinesh Kumar Mar 25, 1988 Male Not Applicabe (NA) M.Phil at
29 Deepak Garg Sep 9, 1987 Male Deaprtment of Mathematics, Panjab University, Chandigarh Ph. D dgmaths
at
rediffmail.com
30 Sugandha Maheshwari Dec 31, 1987 Female Deaprtment of Mathematics, Panjab University, Chandigarh M.Sc. sugandhamaheshwari
at
yahoo.in

How to reach the venue:

 

Chandigarh is well connected to Delhi by road.
There are frequent state transport buses from ISBT (Kashmiri Gate) to Chandigarh. Bus takes about 5 hours 30 minutes to reach Chandigarh from Delhi.

By Rail Chandigarh is connected to major cities like Chennai, Mumbai, kolkata, Lukhnow etc.
There are morning and evening Shatbadi trains from New Delhi station and also a Jan Shatabdi train in the evening.
Moreover Ambala is well connected by train to most of the cities of India. Ambala is about 50 Kms from Chandigarh and is on the highway that connects Delhi and Chandigarh.

The participants can easily reach to the Panjab University campus from the railway sataion or from the bus stand by auto rickshaw or by taxi.