Kalyan PG College Bhilai Nagar

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MATHEMATICS RESEARCH CENTRE

INTRODUCTION – The department of mathematics is one of the leading research centres in Kalyan P.G. College. The department is recognized as a research centre in the 1991. The department of mathematics declared as highly rated department with potential for excellence under UGC scheme CPE (College with potential for excellence) in 2010 and UGC granted 20 lacks fund for departmental developments. Since then, it has promoted various research activities in the field of advance mathematics. The various events and achievements are summarized as follows.

RESEARCH GUIDE: - 1. Dr. G. K. Goswami

THURST AREA OF RESEARCH:-

General Relativity,
Cosmology,
Tensor,
Applied Mathematics.

FACILITIES IN RESEARCH CENTRE:-

This research centre is equipped with different software such as Matlab, Latex, Mathematica (Mathematica software has purchased by 91,000 INR) etc, recent books and Internet facility to provide online Journals. It is having departmental Wi-Fi and good computers including work station. Smart class room (With smart board and fitted LCD projector) is also available for power point presentation and seminars. Printers and laptop are also available.

PH. D. SCHOLARS:-

SN.	Name of Research Scholars	Guide	Date/Year of Ph. D awarded
1.	Dr. Smt. Mandvi Mishra	Dr. G. K. Goswami	15.07.2015
2.	Dr. Ramnarayan Dewangan	Dr. G. K. Goswami	24.01.2017

One Research Scholar is pursuing their research work for Ph. D. Degree --

Mrs. Meena Mishra

LIST OF JOURNALS:-

More than 29 research papers have been published till 2018 in the peer revived national and international journals of impact factor up to 2.638. These valuable journals are -

SN.	List of Journals
1.	International Journal of Theoretical Physics
2.	Aditi Journal of Mathematical Physics
3.	The European Physical Journal Plus (Springer)
4.	International Journal of Theoretical Physics
5.	Astrophysics and Space Science
6.	Gravitation and Cosmology
7.	International Journal Of Mathematical Sciences And Engineering Applications(IJMSEA)
8.	International Journal of Applied mathematical Analysis & Application
9.	International Journal of Statistics and Systems
10.	Research in Astronomy and Astrophysics
11.	American Journal of Mathematics and Mathematical Sciences
12.	Journal of Molecular and Genetic Medicine
13.	International Journal of Pharmacy and Pharmaceutical Sciences
14.	Indian Journal of Science and Technology
15.	International Journal of Applied Pharmaceutical Sciences and Research
16.	Chaos, Solitons & Fractals
17.	International Journal of Computer Sciences and Engineering
18.	International Journal of Engineering Research & Technology (IJERT)
19.	Bulletin of the Calcutta Mathematical Society
20.	Journal of the Calcutta Mathematical Society
21.	International Journal of Applied mathematical Analysis & Application.
22.	International Journal of Engineering And Computer Science
23.	Journal of Advances in Mathematics

PAPER PRESENTATION AND INVITED TALK-

Dr. G. K. Goswami HOD of Mathematics participated and presented his research work in different institutes given in the following table:

SN.	Contents of Field	Description
1.	National Seminar -	Recent Algorithmic Approach On Computer Science & Mathematics
	Organized By -	Swami Shri Swaroopanand Saraswati Mahavidyalaya
	Date-	January 2013
	Roll-	Delivered a Guest Lecture On The Paper Was “Lamda CMD Cosmology”.
	National Seminar -	Recent Algorithmic Approach On Computer Science & Mathematics
2.	National Seminar -	“Application Of Mathematical Modeling In Science & Technology”
	Organized By -	BIT, Durg (C.G.)
	Date -	March 15th -16th, 2013
	Roll -	Presented Invited Talk on “Cosmology”.

3.	National Conference -	Emerging Research Trends In Mathematics And Computation
	Organized By -	BIT, Durg (CG)
	Date -	February 20-21, 2015
	Roll -	Delivered an Invited Talk ‘In The National Conference Held During

4.	International Conference-	Emerging Research Trends In Mathematics And Computation
	Organized By-	BIT, Durg (CG)
	Date -	February 20-21, 2015
	Roll -	Delivered an Invited Talk ‘In The National Conference Held During

5.	International Conference-	General Relativity .
	Organized By-	Sant Gadge Baba Amravati University Amravati (India)
	Date-	Nov 25-28, 2015
	Roll-	Delivered an Invited Talk “CDM Type Heckmann-Suchuking Model & Union 2.1 Compilation”
6	National Seminar -	Ancient Indian Mathematics
	Organized By -	Govt. Dr. B.S.B.A. College, Dongargaon (C.G.)
	Date-	January 22 & 23, 2016
	Roll-	He Has Presented A Paper & Invited Talk Entitled Astronomy & Cosmology.

7.	National Seminar -	BITCON
	Organized By -	Bhilai Institute Of Technology, Durg (C.G.)
	Date -	January 29 & 30, 2016
	Roll -	Delivered an Invited Talk “Dark Energy A-Cosmology” .

8.	National Conference -	Application Of Mathematics In Science & Engineering
	Organized By -	BIT College, DURG (C.G.)
	Date -	March 10-11, 2016
	Roll -	Presentation Entitled “Dark Energy Λ-Cosmology”.

9.	National Conference-	Application Of Mathematics In Science & Engineering
	Organized By-	BIT College, DURG (C.G.)
	Date -	March 10-11, 2016
	Roll -	Presented a Paper Entitled “Magnetized Strings In Ʌ Dominated Anisotropic Universe.

10.	National Conference-	Differential Geometry And Its Application
	Organized By-	DDU Gorakhpur University, Gorakhpur (C.G.)
	Date-	January 27-28, 2017
	Roll-	Delivered an Invited Talk On “Cosmological Parameters For Specially”.
11.	National Conference-	Challenges In Mathematics For The Development of Science And Technology
	Organized By-	BIT College, Durg(C.G.)
	Date-	28th March 2017
	Roll-	Delivered an invited talk entitled “Cosmological Parameters For Spatially Flat Dust Universe In Brans-Dicke Theory.

VISITED UNIVERSITY:-

Dr. G. K. Goswami HOD of Mathematics visited the following university-

SN.	Year	Name of The University
1.	03.07.2015	Inter-University centre for Astronomy and Astrophysics (IUCAA)
2.	01.08.2016	Inter-University centre for Astronomy and Astrophysics (IUCAA)
3.	17.10.2016	GLA University, Mathura, Uttar Pradesh
4.	26.06.2017	GLA University, Mathura, Uttar Pradesh

PROJECTS-

One Research project (Minor) has been completed in this research centre funded by C.G. COST.

Project	Year	Name of Investigator	funding Agency (National)	Grants Sanctioned	Grants received
01	2014-2015	Dr. G. K. Goswami	C.G.Cost	5,00000/-	4,40,000/-

SEMINARS AND WORKSHOPS ORGANIZED-

Year 2011: Organized advanced level national seminar in the topic “Emerging areas in pure and applied mathematics”. This was funded by UGC.

Year 2015: Organized advanced level national work shop in the topic “General relativity and Cosmology”. This was funded by UGC.

PUBLICATIONS-

Number of papers published- 30

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MATHEMATICS RESEARCH CENTRE

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