Department of Pure Mathematics

Contact
35, Ballygunge Circular Road, Kolkata - 700 019
Phone: (033) 2461 5445/4959/5277/4711 Ext. : 450 (HOD)/451 (Office) Fax No. (91)(033) 24614849

Year of Establishment
1912

Introduction
Since its inception in 1912, the Department of Pure Mathematics has always been a Department of appreciation by its quality of teaching and level of research.

A galaxy of Mathematicians has adorned the Department all the time; men like Prof. Young, Prof. Forsyth, Prof. Ganesh Prasad, Prof. S. D. Mukherjee, Prof. F. W. Levi and many others enhanced the prestige of the Department by their valuable teaching and research.

It is interesting to note that the first lecturer appointed by the University for teaching Mathematics was Mr. C. Little for 1907 – 1909; in fact for a long time appointments in the University was on contract basis. Next to Mr. Little was Mr. D. N. Mallick for 1908 and 1909 respectively for teaching both Mathematics and Physics; the first reader for teaching Mathematics was Mr. C. E. Cullis who was given appointment for 1909 and 1910.

It is interesting again to note that the first two posts of Professors were created in 1912 – one for Mathematics and another for Indian History and Antiquities; at that time the Governor of West Bengal was Lord Hardinge who was himself a distinguished graduate of Mathematics which is why the first Professorship of Mathematics was named ‘Hardinge Professor of Higher Mathematics’; this chair was first offered, for a period of three years, to Prof. M. Frechet whose researches in the field of Pure Mathematics still astound us; unfortunately, for some unavoidable circumstances, Prof. Frechet could not join; but he was kind enough to recommend Dr. W. H. Young, Lecturer of Higher Analysis at the University of Liverpool and some times Fellow of Peter House, Cambridge for the said Professorship. Thus the first Hardinge Professor of Higher Mathematics, to be associated with the Department of Pure Mathematics was Dr. W. H. Young; the name ‘Department of Pure Mathematics’ came in 1912 and the Department was blessed with the leadership of a man like Prof. Young whose researches have enriched the field of Analysis and many of his theorems go without any name in the current books of the said subject.

The first Indian teacher of Pure Mathematics with International accolades was Prof. S. D. Mukherjee whose works in Geometry derive appreciation even now. The Department of Pure Mathematics can boast of its predecessors who have set up such a qualitative pattern that the progeny feels inspired. The Department feels pride for the Geometers, like Dr. S. D. Mukherjee, Dr. R. N. Sen, Dr. M. C. Chaki and others; Analysts, like Dr. W. H. Young, Dr. Ganesh Prasad, Dr. Haridas Bagchi, Dr. H. M. Senguta, Dr. N. C. Bose Majumdar, Dr. P. L. Ganguly and others; Algebraists like Dr. F. W. Levi, Dr. R. C. Bose, Dr. S. S. Pillai, Dr. B. C. Chatterjee, Dr. A. C. Chowdhury, Dr. S. P. Bandyopadhyay and other luminaries in the field of other branches of Mathematics as well.

Along with the vigorous activity in research, the Department does also excel in teaching for almost a century; the Department can live up to the expectations of serious students all the time and in all the days to come.

Present Status :

The Department has ten teachers at present ( seven posts are vacant ) who are trying to promote better teaching, better research and better infrastructure for teaching all the time; under the ‘FIST’ Programme of the department, the Department now possesses a very rich computer laboratory. The internet access area computer has been provided to all the teachers and research scholars as well. In general the number of research scholars in the Department varies from 20 to 25 and the average number of Ph.D‘s each year with reference to the last five years is 5.

The Department organizes almost regularly, National and International Seminars, Symposiums and Workshops; some such during the last 8 years or so are listed as follows :

Seminars/Workshops etc. Dates
National Seminar on “Algebra, Cryptography & Number Theory”. March 26 – 27, 2008
National Seminar on “Mathematics with Special Emphasis on Discrete Mathematics”. February 25 – 26, 2009
National Seminar on “Logic & Set Theory”. December 21 – 22, 2009
Workshop on “Differential Geometry” [DST funded] January 15 – 18, 2011
National Seminar on “Mathematics and its Applications”. February 22 – 23, 2011
N. C. Bose Memorial Seminar November 23 – 24, 2011
National Seminar on “Recent Trends in Mathematics & its Applications”. February 22, 2012
Short Term Course on Mathematics and Statistics. November 27 – December 3, 2012
12th International Conference of Tensor Society (Japan). December 17 – 21, 2012
National Seminar on “Mathematics & Mathematical Sciences”. December 27 – 28, 2012
National Seminar on “Recent Trends in Mathematics & its Applications” March 22, 2013

In addition to organization of workshops and seminars in the Department, participations of teachers in seminars in India and abroad deserve mention. Teacher of the department have so far visited many universities and institutes of Europe, USA, China, Japan and many countries of Europe like France, Germany, UK, Spain.

A research Journal named “JOURNAL OF PURE MATHEMATICS” is being published in the Department once a year for more than 20 years, the journal has drawn attraction of researchers in India and abroad; submission of papers from foreign countries like USA and different parts of India is increasing in number.

The Department conducts two courses simultaneously – One is M.Sc. and the other is Post M.Sc. M.Phil course (since 1984). The intake of M.Sc. course is 70 and that in M.Phil Course varies from 2 to 6. Some of the dissertations prepared by M.Phil students have already drawn enough appreciation. The courses offered to the M.Phil students vary from year to year and up to date, a large area of Pure Mathematics has been covered. After the introduction of Ph.D. programme under the new regulations, the Course-Work is being seriously conducted for the Ph.D. aspirants.

In addition to Ph.D dissertations in basic Mathematics, there have been theses in the area of Paste Management and such other applied fields. Attempts are being made to induce some more applications of Pure Mathematics, like Cryptography which has already been introduced in the curriculum so that research in those fields can be promoted more effectively. The additions and alterations in the curriculum have in fact, been a regular feature in our Department.

The department also organizes “Refresher Courses” every alternate year for more than the last two decades.

With definite and deep stress on basic Mathematics, efforts are being made to provide exposures, to the students, regarding some special branches of Pure Mathematics.

Almost in every NET ( JOINT CSIR & UGC), NBHM and GATE, the success of our students deserves mention; after the completion of M.Sc. Examination, our students are getting successful in examinations like G.R.E. for going abroad, in admission tests for admission to T.I.F.R. , I.S.I. , H.R.I. , I.I.S.C. ; for good scores in GATE, our students are also getting admission in different I.I.T’s as well for pursuing Ph.D programme. In different Universities of India and abroad, the alumni of the Department of Pure Mathematics have made name and fame for themselves and have publicized the glory of the Department wherefrom they had their initial initiation in Pure Mathematics.

Syllabus

Department of Pure Mathematics Course Structure for M.Sc. Semester-wise distribution of Courses (4 semester in total) (CLICK HERE FOR DETAILS)

Projects at the Department

Name of the Investigator Title of the Project & Duration Amount Sanctioned Funding Agency
Dr. Avishek Adhikari
(Principal Investigator)
“Secret Sharing Schemes using DNA Cryptography”
April, 2007 – March, 2009
` 22.94 lakhs Ministry of Communications & Information Technology, Govt. of India.
Dr. Avishek Adhikari (Co-Investigator) in collaboration with Indian Statistical Institute and Kyushu University, Japan. “Analysis of Cryptographic Algorithms and Evaluation on Enhancing Network Security Based on Mathematical science”
(2008 – 2012)
` 23 Lakhs DST-JST
(India-Japan Collaborative Project)
Dr. Avishek Adhikari (Co-Investigator) in collaboration with CRSI & ISI, Kolkata. “For Design and Development of Test Suite for Statistical Analysis of Cipher and Random Number Generators”
180 days, 2009-2010
 ` 9.50 lakhs Ministry of Defense, Government of India
Dr. Avishek Adhikari (Co-Investigator) in collaboration with CRSI & ISI, Kolkata. “Design and development of Resilient Key Management for Secure Symmetric Implementation”
180 days, 2010-11
` 8.75 lakhs Ministry of Defense, Government of India
Dr. Avishek Adhikari (Co-Investigator) in collaboration with CRSI & ISI, Kolkata. “Design and development of Strong Boolean functions with Cryptographic properties”
180 days, 2010-11,
` 6.30 lakhs Ministry of Defense, Government of India
Dr. Avishek Adhikari (Co-Investigator) in collaboration with CRSI & ISI, Kolkata. ““Design and development of Pseudo Random Number Generators for use in Key Generation Systems”
180 days, 2010-11
` 7.60 lakhs Ministry of Defense, Government of India
Dr. Dhananjoy Mandal
(Principal Investigator)
Minor Research Project entitled “Investigation of Some Problems of Set-Topology in Wider Settings”
July, 2012 – June, 2014
` 1.70 lakh   UGC
Prof. Manjusha Majumdar (Co-Principal Investigator) (in collaboration with Department of Atmospheric Science, University of Calcutta) Bias estimation and effort for removal  of UM/CFS coupled model output with adaptive techniques for improving forecast skill of Indian Summer Monsoon. (February, 2013 - 2016). ` 36,76,400/- Ministry of Earth Sc., Govt. of India

The average publication of papers in India and abroad of the teachers of the Department is more than 20 every year. The number of books and study materials written and published by the teachers of the Department during the last eight years or so is about 20.


To sum up, it can definitely be said that the achievement of the Department is scintillating; the future plans have definite goals and the Department is always in a march for adding to the glory of our alma mater.

Courses Offered

Programme Level of Study Cut-off Mark at Entry Intake Capacity
M.A./M.Sc P.G. In order of merit 70
M.Phil P.G. In order of merit  about 6
Ph.D Research

RESEARCH WORK


Major thrust areas in which Research activities are being actively pursued :


  • Algebra and applications.
  • Topology and applications.
  • Analysis and applications.
  • Qualitative Theory of Differential Equations and applications.
  • Fuzzy Sets and System with applications.
  • Cryptography
  • Differential Geometry and applications.
  • Graph Theory.
  • Mathematical foundation and Logic and applications.

Faculty Members

Professors Specialization / Research Areas Telephone Number E-mail Address
Professor Tapan Kumar Dutta Abstract Algebra (033) 2411 6194
9433972680
duttatapankumar@yahoo.co.in
Professor Sudip Kumar Acharyya Topology, rings of Continuous Functions. (033) 2654 0300
9433843908
sdpacharyya@gmail.com
Professor Manabendra Nath Mukherjee (Head) Topology & Functional analysis, Fuzzy Topology, Topological algebraic Structures. (033) 2426 6879
9433278768
8017246960
mukherjeemn@yahoo.co.in
mukherjeemn@gmail.com
Professor Manjusha Majumdar (Tarafdar) Differential Geometry of Manifolds and Theory of Relativity. (033) 2359 0207
9831181988
drmanjushamajumdar@gmail.com
Professor Jayasri Sett Differential Equations. (033) 2466 9042
9433091442
jayasri_sett@yahoo.com  
Professor Uday Chand De Differential Geometry of Manifolds and Theory of Relativity. 9433533873 uc_de@yahoo.com
Associate Professor Specialization / Research Areas Telephone Number E-mail Address
Dr. Ashok Kumar Das Graph Theory & Combinatorics. (033) 2484 8143
9433850230
ashok_das6@rediffmail.com
ashokdas.cu@gmail.com
Assistant Professors Specialization / Research Areas Telephone Number E-mail Address
Dr. Sandip Jana Topology, Functional Analysis. (033)25442912 sjpm12@yahoo.co.in
Dr. Avishek Adhikari Algebra, Algebraic Graph Theory, Cryptography, DNA-Cryptography, Combinatorial Design (033) 2359 8617 http://www.imbic.org/avishek.html
avishek.adh@gmail.com
Dr. Dhananjoy Mandal General Topology & Fuzzy Topology. 9830147463 dmandal.cu@gmail.com
dhananjoymandal@yahoo.co.in