School of Studies in Mathematics

Year of Establishment: 1991

The School of Studies in Mathematics was established in 1991. Since then, the School has been growing continuously in terms of educational programmes and infrastructure. From the very inception this school is one of the most active research center of mathematical sciences in Chhattisgarh. The school has its own building with adequate facilities for teaching and research. From 1994 the school is supported by NBHM Library Grant. In 2010-11, the school came under the umbrella of DST-FIST programme.

Goals and Objectives:

School of Studies in Mathematics focuses on emerging trends in mathematics leading to fulfill the requirements of our society. Under the active guidance of dedicated faculty members the school is gradually emerging as an excellent centre for Research and Teaching in the areas of Nonlinear Analysis, Cryptography, General Topology, Best Approximation Theory, Fuzzy set theory, Fuzzy Logic and Applications etc. Our goals and endeavors are aimed to elevate our institution to the level of world class University. Moreover, our sole objective is to fulfill the promises made in Vision 2020.

Academic Activities:

Academic Activities:

The School of Studies in Mathematics regularly organizes a number of seminars and guest lectures. Our School of Studies also provides consultancy to various educational institutions and research labs. Faculty members of the School also provide counseling services to the students appearing NET/GATE/MTTS Programs/State PSC/UPSC. 

Pedagogy:

Pedagogy:

The state of art of enquiry in the subject matter is to nurture amongst students for advance learning and to acquaint them with recent developments in Mathematics. The emphasis is on action learning like to handle real world problems, provide innovative concepts and mathematical models to industrial needs, field work and to create a challenging environment. The overall scenario is aiming towards creating a knowledge based society.

Mission of Our School:

i)    To increase the productivity, technical and vocational efficiencies.

ii) To cultivate social, moral and aesthetic values as well as to develop sense of duty and responsibility

iii)To develop overall personality through NSS, sport, cultural activities, debate, group discussions etc.

iv) To promote research activities in mathematics and to foster economic growth of the region.

Curriculum Design, Development & Update:

Curriculum updated periodically, flexibility to design curriculum that caters the goals of the SOS.

?         2003 According to UGC Model Curriculum

?         2006 Semester system in M.Sc.

?         2008 M.Phil. & 5 Yr. Int. Course

?         2010 Major change in M.Phil. Curriculum

?         2013 NBHM Centre for M.Sc./M.A. Scholarship and Ph.D. Scholarship Examinatio


Teaching-Learning & Evaluation Process :

Tutorial, weakly Seminar for M.Sc.& M.Phil. Students, use of INTERACTIVE BOARD/ LCD/ Book Presenter as teaching aid, class Tests, students are encouraged to make maximum use of library and online resources, training and dissertation report prepared and evaluated by external examiner. Practical classes are run in Computer Lab., compulsory participation in seminars, write-up review following presentation of seminars, surprise and announced unit tests are conducted.

Conference / Workshop:

?        National Conference on Recent Trends in Mathematics with Emphasis on History of Mathematics, December 04-06, 2003

?          Workshop Vision 2020 to determine the future plan of study and research in the University, September 05-08, 2006

?               Golden Jubilee National Seminar on Advances in Nonlinear Analysis and Optimization, February 15-17, 2014

?    School of Study in Mathematics organized a one day seminar on Strengthening Scientific Temper on 10th April, 2014. This program was aimed to organize popular lectures for our post-graduate students which includes a series of lectures on Life and work of Srinivasa Ramanujan.

?         School of Study in Mathematics organized a one day seminar on May 2016. This program was aimed to organize popular lectures for our post-graduate students which includes a series of lectures on Life and work of Srinivasa Ramanujan.

?         School of Study in Mathematics organized a one day public outreach lecture on the title ? Fixed Point iterative methods and applications ? delivered by Prof. D.R. Sahu, Department of Mathematics, Banaras Hindu University, Varanashi.

ICT as learning Resources:

?    In 2008, department is connected through RSU-CAN, online access of specific journals , use of LCD projector and Interactive Board

?     In 2013, online access of more journals, MathSciNet database is available from 2010 and Ebooks in Mathematics

Highest utilization of E-Resources among University teaching departments as per Usage Statistics of UGC-INFONET Digital Library Consortium for 2012 and 2013.

Other facilities in the Development of Learning Resources:

Annual Library Grant from DAE, complimentary copies of High Quality Books and Springer?s magazine Intelligence by NBHM from 2003

Salient Features of School of Studies in Mathematics:

o    Students participation in MTTS Programs: 6 students took part in MTTS program.

o    Students selected in NET/JRF/GATE: 11 students selected in NET (CSIR-JRF, UGC-JRF) and GATE.

o    Students selected in SET : 13 students.

 

o    Gold Medal: M.Sc. students obtained Gold Medal in the year 1994, 1995, 1996, 1997, 1999, 2001, 2003, 2004, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2017, 2018, 2019

o    Participation in National and International Conferences/Wokshop: Faculties and research scholars participated in more than 55 National and International Conferences and Workshops.

o    Consultancy Services in Research : Research consultancy was given to research projects in mathematics of some universities (Sultan Qaboos University, Oman and Transkei University, S. Africa) by faculty members

o    Honour/Award received by our faculty: TWAS-UNESCO Associateship (2008-2011).

o    Research Projects: Several research projects were carried in the School supported by DST, CSIR, CGCOST, UGC etc.

o    International Collaboration in Research : Our faculties are working in collaboration with several research institutes namely, Florida Institute of Technology, Tampa, Florida, USA, Indiana University, Bloomington, USA, Dong-A- University, Pusan, S, Korea, Gyeonsang National University, S. Korea, Institute of Technology, Rzeszow, Poland, University of Leichestar, U.K., University of Galway, Ireland, Sultan Qaboos University, Oman, University of Transkei, S. Africa, Changwong National University, S. Korea, Chengdu University, P.R. China, King Abdulaziz University, Saudi Arebia, Universidad de Santiago de Compostela, Spain, Lahore University of Management Sciences, Pakistan, Kathamandu University, Kathmandu, Nepal etc.

o    The School produced more than 38 Ph.D. and above 500 research papers in various National and International mathematics research journals.

o    NBHM centre for M.Sc./M.A. Scholarship and Ph.D. Scholarship Examination.

Major Placement Areas:

?         Universities: BHU, GGU, RSU

?         Technical Institutions: MNIT-Allahabad, UIT-Indore

?         Degree Colleges : Leading PG & UG colleges in Chhattisgarh

?         Engineering Colleges : Almost every Engineering College in Chhattisgarh


                                           Students selected in MTTS Program

 

S.No

Name

Year

1.

Lokesh Satpati

1998

2.

Bhumica Yadu

2002

3.

Ashok Kumar Sahu

2003

4.

Kaumila ande

2004

5.

Kaveri Jangde

2005

6.

Pooja Thourani

2007


                                                     Students selected in NET


S.No.

Name

Year

1.

Sahdeo Padhye

2002

2.

Nohar Lal Dhiwar

2003

3.

Hemlal Sahu

2004

4.

Niyati Gurudwan

2006

5.

Praveen Kumar Sahu

2012

6.

Sevak Ram

2018

7.

Shivani Valech

2018

8.

Rashmi Bhagat

2018

9.

Nandani Sahu

2018


                                                Students selected in SET

 

S.No.

Name

Year

1.

Hemlata Nagesh

2013

2.

Manoj Kumar

2017

3.

Sevak Ram

2017

4.

Dushyant Kumar Yadav

2017

5.

Dileshwari Sahu

2017

6.

Manjri Dewangan

2017

7.

Aabha Alha

2018

8.

Shivani Valecha

2018

9.

Amit Thakur

2018

10.

Kavita Thakur

2018

11.

Mukesh Wadhawani

2018

12.

Nandani Sahu

2018

13.

Manoj Kumar

2018

 

List of Gold Medalist (M.Sc. Mathematics)

S.No

Name

Year

1.

Ku. Shubha Sutaone

1994

2.

Rajesh Kumar Sahasi

1995

3.

Ku. Seema Thomas

1996

4.

Ku. Leena Joshi

1997

5.

Lokesh Kumar Satpathi

1999

6.

Ku. Sweta Sahu

2000

7.

Ku. Reena Saluja

2001

8.

Mukesh Kumar Sahu

2003

9.

Ku. Sushma Pradhan

2004

10.

Ku.Vidha Karanjgaonkar

2006

11.

Ku. Shaheena Khatoon

2007

12.

Ku. Nidhi Dewangan

2008

13.

Ku. Hemlata Nagesh

2009

14.

Ku. Jyoti Soni

2010

15.

Ku.Kavita Thkaur

2011

16.

Ku. Rashmeet Kaur

2012

17.

Ku. Bhawana Premchandani

2013

18.

Ku. Dilleshwaree Sahu

2014

19.

Vinita Kaushik

2015

20.

Avantika Gupta

2017

21.

Shivani Valecha

2018

22

Panch Ram

2019

International Collaboration

 

S.No.

Institution

Collaborator

Who Collaborated

1

Dong-A University Pusan , S. Korea

Prof. Jong Soo Jung

Prof. B.K.Sharma, DR. B.S.Thakur

2

Gyeonsang National University , S. Korea

Prof. Y.J.Cho

Prof. B.K.Sharma, Prof. H.K.Pathak, Dr. B.S.Thakur

3

Institute of Technology , Rzeszow , Poland

Prof. J.Gornicki

Dr. B.S.Thakur

4

University of Leichestar , UK

Prof. Brian Fisher

Prof. H.K.Pathak

5

Gyeonsang National Univ. S. Korea

Prof. Shin Min Kang

Prof. H.K.Pathak

6

Florida Institute of Technology , USA

Prof. Ravi. P. Agarwal

Prof. H.K.Pathak

7

University of Galway , Ireland

Prof. Donal O. Reagon

Prof. H.K.Pathak

8

Sultan Qaboos University , Oman

Prof. M. S. Khan

Prof. H.K.Pathak

9

University of Transkei , S. Africa

Prof. S. N. Mishra

Prof. H.K.Pathak

10

Changwong National Universtiy, S. Korea

Prof. J. S. Ume

Prof. H.K.Pathak

11

Chengdu Univeristy , China

Prof. S.S.Chang

Prof. H.K.Pathak

 

List of Ph.D. Students

S.N.

Name of Scholar

Topic

Guide

Year

1

Rajesh Pandey

problems in fixed point theory.

Prof B.K. Sharma

1991

2

N.K.Sahu

some problems on fixed point theorem

Prof B.K. Sharma

1992

3

P.P.Murthy

A study of fixed point theorems

Prof B.K. Sharma

1992

4

C.L.Dewangan

certain generalizations of fixed point theorems

Prof B.K. Sharma

1996

5

D.R.Sahu

on fixed points of deterministic and probabilistic spaces

Prof B.K. Sharma

1996

6

Balwant Singh Thakur

some results on fixed point

Prof B.K. Sharma

1996

7

A.Banerjee

fixed point theorems under certain new mappings and spaces

Prof B.K. Sharma

1996

8

Gupteshwar Gupta

results on fixed point and their applications

Prof B.K. Sharma

1999

9

Vanita Ben Dhagat

fixed point for non-commuting mappings

Prof B.K. Sharma

1999

10

Madhu Shrivastava

A study on existence of fixed points

Prof B.K. Sharma

2000

11

M.R.Yadav

on existence and approximation of fixed point

Prof B.K. Sharma

2001

12

Bhanupratap Tripathi

fixed point of contraction and Nonexpansive type mappings

Prof B.K. Sharma

2001

13

Pradeep Chaube

A study of certain class of nonlinear operators

Prof B.K. Sharma

2001

14

K.K.Dewangan

A study of certain class of nonlinear operators

Prof B.K. Sharma

2003

S.N.

Name of Scholar

Topic

Guide

Year

15

P.K.Mehta

Existence and Estimation of Solutions of  the Equations Involving Certain Nonlinear Operators

Prof B.K. Sharma

2004

16

G.S.Saluja

A Study of Certain Nonexpansive Mappings

Prof B.K. Sharma

2005

17

K.K. Sahu

A Study of Pseudocontractive Mapping.

Prof B.K. Sharma

2006

18

Sahadeo Padhye

A Study of Algorithms of Cryptosystem Cubic Curve RSA

Prof B.K. Sharma

2006

19

Hemant Kumar

A study on best Approximation & Key fan approach

Prof B.K. Sharma

2006

20

Satyaj Tiwari

A study on best simultaneous approximant with application

Prof H.K. Pathak

2012

21

Sunil Kumar Kashyap

A study of some variants of discrete logarithm over finite field based public key cryptosystems  

Prof B.K. Sharma

2011

22

Niyati Gurudwan

Some behavior of accretive operation: An analysis study

Prof B.K. Sharma

2012

23

Mrs. Prachi Singh

Some studies on fuzzy fixed fixed point theorems & application in fuzzy environments

Prof H.K. Pathak

2012

24

Swati Verma

A study on digital signature schemes based on RSA & variants

Prof B.K. Sharma

2013

25

Deepmala Rai

A study on fixed point theorems for nonlinear contractions & its application

Prof H.K. Pathak

2013

26

Hemlal Sahu

A study on elliptic curve based asymmetric cryptosystems

Prof B.K. Sharma

2014

S.N,

Name of Scholar

Topic

Guide

Year

27

Shushma Pradhan

A study of public key cryptosystems based on factorization

Prof B.K. Sharma

2013

28

Mrs Manju Sanghi

A study of public key cryptosystems & fast computation of elliptic curve cryptosystems

Prof H.K. Pathak

2013

29

Mrs Suja Vargese

A Study on Certain Aspects of Variational Inequalities

Dr. B.S. Thakur

2012

30

Ajay Kumar Sharma

A study on best proximity point theorems for certain contraction mappings

Dr. B.S. Thakur

2014

31

Smt. Dipti Thakur

A Study on Iteration Schemes for Certain Class of Nonexpansive Mappings

Dr. B.S. Thakur

2015

32

Smt. Rajshree Dewangan

Approximation of Fixed Points of Pseudocontractive Mappings and Its Variants.

Dr. B.S. Thakur

2015

33

Manoj Kumar Chande

Digital Signature Schemes Based on Discrete Lograithm Problem and its Variants.

Dr. B.S. Thakur

2016

34

Ku. Vandana

A Study of Dynamic Inventory Models Involving Economic Ordering of Commodity.

Prof B.K. Sharma

2016

35

Vinod Kumar Sahu

A Study on Iterative Approximatin of Fixed Points for some Generalizations of Nonexpansive Mapppings

Prof H.K. Pathak

2017

36

Ku. Tejeshwari

A Study of Cryptosystems using chameleon Hash Function

Prof B.K. Sharma

2018

37

Mayur Puri Goswami

A study on certain classes of frames in Banach spaces and their applications

Prof H.K. Pathak

2019

38

Ku. Neetu Sharma 

A Study on Identity based signature schemes using bilinear pairing and their analysis

Prof B.K. Sharma

2019

Postal Address:

Head

School of Studies  in Mathematics

Pt.Ravishankar Shukla University

Raipur (C.G.)-492010