Research & Development

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Research

Major Research Work

Major Areas of Research

  • Banach and Topological Algebras
  • Function Theory and Function Spaces
  • Operator Theory and Operator Algebras
  • Sequences Spaces
  • Harmonic Analysis
  • General Theory of Relativity and Cosmology
  • Mathematical Modeling.
  • Special Functions
  • Fractional Calculus
  • Number Theory
  • Cryptography
  • Financial Mathematics
At a Glance

Ph. D’s: 57 (7 in progress)
M. Phil.’s: 103
Conferences Seminars Organized: 18
Teachers’ Refresher Courses: 12
Awards Won: (a) International 7(b) National 24.
Books Published: 12
Technical Reports Published: 36
Research Projects: 21

Journals of repute in which the faculty has published their research so far

 

  • Archive der Math.
  • Bulletin of the Australian Math. Soc.
  • Bulletin of the Polish Acad. Sci.
  • C.R. Acad. Sci. (Canada)
  • Classical and Quantum Gravity
  • Czechoslovak J. Math.
  • General Relativity and Gravitation
  • Glasnik Math.
  • Industrial Lubrication and Tribology
  • Integral Equations and Operator Theory
  • International. J. Math. and Math. Sci.
  • J. Australian Math. Soc.
  • J. Functional Analysis
  • J. Indian Math. Soc.
  • J. Magnetism and Magnetic Materials
  • J. Math. Analysis and Appl.
  • J. Math. Phys.
  • J. Operator Theory
  • Japanese J. Appl. Phys.
  • Math. Proc. Cambridge Philosophical Soc.
  • Mathematica Japonica
  • Pacific J. Math.
  • Pramana J. Phys.
  • Proc. American Math. Soc.
  • Proc. Indian Acad. Sci. (Math. Sci.)
  • Proc. Royal Irish Acad.
  • Publ. Research Inst. Math. Sci., Kyoto
  • Rendi Cir. Math. Palermo
  • Revue Roumaine de Math. Pureset Appl.
  • Studia Mathematica
  • Transaction of the American Math. Soc.
  • Tribology Transactions
  • Wear

 

Collaborative Research Work Done:

Collaborative Research Work Done: International

1.

A. Inoue

Fukuoka Univ., Japan

SJB, DJK

2.

H. Ogi

Fukuoka Inst. Tech., Japan

SJB

3.

A. Badda, and M. Oudadess

Ecole Norm. Sup. Rabat, Morocco

SJB

4.

K. D. Kürsten

Leipzig Univ., Germany

SJB

5.

E. Albrécht

Univ. Saarlands, Germany

RDM

6.

S. Campbell

North Carolina S.Univ., USA

BCG

7.

M. Fragoulopoulou

Univ. of Athens, Greece

SJB, DJK

Collaborative Research Work Done: National Institutes

 

8

N. Dadhich

IUCAA, Pune

RST

9.

B. V. Limaye

I. I. T., Mumbai

MHV/RDM

10.

S. Kulkarni

I. I. T., Chennai

SJB/DJK

11.

S. Mukharjee

North Bengal Univ.

RST

12.

G. P. Singh

VREC, Nagpur

RST

13.

K. Jotania

BITS, Pilani

RST(P)

14

B.C. Paul

North Bengal Univ.

RST

Collaborative Research Work Done: Institutes in Gujarat

 

15.

L. K. Patel

Guj. Univ., Ahmedabad

RST/MDP

16

V. Thomas

M. S. Univ., Vadodara

RST

17.

V. D. Pathak

M. S. Univ., Vadodara

MHV

18.

R. M. Patel

Nirma Engg. Coll., A’bad

MDP/GMD

19.

P.Ramanujan

Saurashtra Univ., Rajkot

BCG/RMD

20.

P. Andharia

Bhavnagar University

GMD

21.

P. C. Vaidya

Gujarat Univ., Ahmedabad

MDP/RST

22.

J. K. Rao

Bhavnagar Univ.

AHH

23.

J. L. Gupta

BVM,V.V. Nagar

GMD

24.

A. K. Ray

Chemistry Dept., SPU

GMD

Distinctions Earned:

Awards Won

* Hari Ohm Ashram Prerit Bhaikaka Inter-University Smarak Trust Prizes for best research papers in a Calendar year earned by the staff members.
  1. 1989: S.J. Bhatt and A.B. Patel
  2. 1990: S.J. Bhatt and G.M. Deheri , G. M. Deheri and J.L. Gupta (Balkanji Bari Science Trust Award
  3. 1991: S.J Bhatt and D. J. Karia, M.V. Bhat and G. M. Deheri (For Mechanical Engg. Section)
  4. 1992: S.J Bhatt and D. J. Karia
  5. 1993: S.J Bhatt
  6. 1995-96: S.J. Bhatt
  7. 1997-98 M.D. Patel and R.M. Patel, P. L. Andharia; G.M Deheri and J.L. Gupta (For Mechanical Engg. Section)
  8. 1999-2000 G. M. Deheri

Prior to 1989 Number of awards: 7
R.D. Mehta/M.H. Vasavada/M.V. Bhat/B.C. Gupta/P.B. Ramanujan

* S.J. Bhatt was awarded the Narsinga Rao Gold Medal for 1980 for the best research paper published in the periodicals of the Indian Mathematical Society.

Fellowships Earned

(1) S.J. Bhatt visited Fukuoka University, Japan as a visiting fellow during August-September 1996. He was a visiting fellow in TIFR in June/July 1977 and in TIFR Bangalore center in June July 1985. He visited University of Poona, Pune in March 1985 as a visiting fellow. He has been elected as a Fellow of the Gujarat Science Academy. He is an editor of the research journal Mathematics Today and he is on the editorial board of the Varahmihir Journal of Mathematics.

(2) H.V. Dedania earned the Commonwealth Fellowship for the period 1996-98. During this period he studied at Leeds University, UK and was awarded Ph.D. degree.

(3) B.C. Gupta visited Mehta Research Institute, Allahabad for a month during 1979. He also visited University of Sofia, Bulgaria for a month during 1984. He also visited the Department of Mathematics, Saurashtra University, Rajkot during 1989and Vikram University Ujjain in 1987 as a visiting fellow. He is on the advisory board of the Varahmihir Journal of Mathematics.

(4) D.J. Karia has cleared UGC-CSIR (NET/JRF). He also visited the Department of Mathematics, University of Poona, Pune during March 1995 and April 1996.

(5) H.S. Mehta and A.H. Hasmani have cleared UGC-CSIR (NET/JRF).

(6) R.D. Mehta was awarded DAAD Fellowship. She visited the University of Saarlands, Sarbrucken, Germany during 1981-82. She was a visiting fellow in the department of Mathematics, University of Poona, Pune during March 1995. She has been elected as a Fellow of the Gujarat Science Academy.

(7) A.B. Patel was a visiting fellow in the Department of Mathematics, University of Poona, Pune during November 1992, and during March 1996. He also visited the Department of Mathematics, Saurashtra University, Rajkot January 1993 as a visiting fellow. He is Secretary of Gujarat Ganit Mandal.

(8) R.S. Tikekar is an Associate Member of IUCAA, Pune, since 1990. During 1994, he earned the INSA Visiting Fellowship. During April-June 1996, he visited Universities of Natal, Cape Town and South Africa as a visiting scientist. During 1998-2002, he is a secretary of IAGRG. He has been elected as a Fellow of the Gujarat Science Academy. List of Ph. D. Thesis

Research Projects

Research Projects: (Last Five Years)

 

H.S. Mehta Decomposition of Function Spaces 1 Year UGC
A.H. Hasmani A brief Study of Singularities in General relativity 1 Year UGC
D.J. Karia Functional Representation of Topological Algebras 1 Year UGC
H.V. Dedania Harmonic Analysis on Abelian Groups with Weights 1 Year UGC

Brief Report of the work done 

Note: This does not contain work done by the following faculty members, who were in the Department. 

1. Prof. M. V. Bhat 
2. Prof. M. D. Patel 
3. Prof. V. Raghvendra 
4. Prof. P. B. Ramanujan

5. Prof. M. H. Vasavada 
6. Prof. B. S. Yadav 
7. Prof. S.M. Patel

Future Plan

The Department of Mathematics is committed to maintain the standard of teaching and research at international level. We are proud to announce that the UGC has given us Rs 116 lakhs grant under the Special Assistant Programme (SAP) for the five years (2015 to 2020). The Functional Analysis has been identified as the thrust area of research by the UGC under the SAP-III program. The faculty of the department is actively doing research in various areas of mathematics. The following are the related sub fields in which we intend to carry out our investigation.

  • Banach Algebras and Topological Algebras
  • Operator Theory and Operator Algebras
  • Harmonic Analysis
  • Geometric Methods and Algebraic computation in General Relativity
  • Applications of Analysis
  • Mathematical Finance
  • Mathematical Tribology
  • Mathematical Biology
  • Differential Equations
  • Linear Analysis Methods in Graph Theory