BIO DATA
(As on 1st January 2005)
Basic Information
Name : Hareshkumar Vallabhbhai Dedania
Date of Birth (& Age) : 20th May 1969
Sex : Male
Marital Status : Married
Nationality : Indian
E-mail Address : hvdedania@yahoo.com
Phone : (H) 02692-231023; (O) 02692-226870
Address(Correspondence) :Department of Mathematics,
Sardar Patel University,
VALLABH VIDYANAGAR – 388 120.
(Dist.- Anand, Gujarat) INDIA
Address (Permanent) : H-8, University Staff Colony,
Nana Bazar,
VALLABH VIDYANAGAR – 388 120.
(Dist. – Anand, Gujarat) INDIA
Educational Information
Ph. D. : October, 1994 - January, 1998
Department of Pure Mathematics,
University of Leeds, LEEDS - LS2 9JT, (UK).
Research Area: Functional Analysis
Thesis Title: Weighted discrete semigroup algebras
Supervisor: Prof. H. G. Dales
Ph. D. (Incomplete) : October, 1991 – June, 1994
Department of Mathematics
Sardar Patel University,
VALLABH VIDYANAGAR – 388120. (INDIA)
Research Area: Functional Analysis
Thesis Title: Banach algebras with unique uniform norm
Supervisor: Prof. S. J. Bhatt
M. Sc. : July, 1989 – June, 1991
Pure Mathematics [80.75%]
Department of Mathematics,
Saurashtra University, RAJKOT – 360005. (INDIA)
Subjects Studied: Algebra, Group theory, Topology-I, Functional
Analysis, Computer, Classical Mechanics, ODS, PDS, Graph
theory & its applications, and Complex analysis
B. Sc. : June, 1984 – April, 1989
Mathematics [74.12%]
Bahaudin Science College, Junagadh 362001.
(INDIA)
Subjects Studied: Mathematics, Physics, Chemistry,
and English
H. S. C. (10+2): May, 1984 – April, 1986
Jawaharlal Vinay Mandir, Dist. Junagadh, Shapur –
362205.
Scholarships and Employments
Scholarship : October, 1994 – October, 1997
Commonwealth Scholarship & Fellowship Plans,
Ph.D. in Mathematics, University of Leeds,
LEEDS (UK)
October, 1991 – May, 1994
National Board for Higher Mathematics,
Department of Atomic Energy, Government of
India
Ph.D. in Mathematics, Sardar Patel University,
VALLABH VIDYANAGAR – 388 120. (INDIA)
Fellowship : March, 1998 – September, 1998
Visiting Scientist,
Indian Statistical Institute, NEW DELHI –110016.
(INDIA)
Employment :
(1) January, 2004 – Present
Reader in Mathematics,
Department of Mathematics, Sardar Patel University,
VALLABH VIDYANAGAR – 388 120. (Gujarat, INDIA)
(2) September, 1998 – December, 2003
Lecturer in Mathematics,
Department of Mathematics, Sardar Patel University,
VALLABH VIDYANAGAR – 388 120. (Gujarat, INDIA)
(3) October, 1997 – December, 1997
Tutor,
Department of Mathematics,
University of Leeds, LEEDS (UK)
(4) July, 1994 – September, 1994
Lecturer,
Department of Mathematics,
Gujarat University, AHMADABAD – 380009. (INDIA)
Miscellaneous
Projects :
(1) UGC Sponsored Major Research Project for 3 years, 2004-07,
Co-investigator: Prof. S. J. Bhatt
Title: Beurling Algebras and Harmonic Analysis on Abelian Groups with Weights.
(2) UGC Sponsored Minor Research Project, 2000-01,
Title: An Investigation in Harmonic Analysis on Abelian Groups with Weights.
Visiting Fellow : UGC Sponsored Visiting Fellow, Department of Mathematics, Suarashtra University, Rajkot-360005, 7th to 20th March 2001.
Joint Secretary : Joint secretary of a workshop on “Banach algebras, Operators and Harmonic analysis”, Dept. of mathematics, S. P. University, Vallabh Vidyanagar – 388120, 7th to 13th January, 2002.
Ph.D. Students : One student is working part-time under my supervison
M.Phil. Students : Two students have completed their M.Phil. dissertation under my guidance and three are working.
Conferences : 3 (International) + 1 (National) = 4 (Total)
Attended : 1. International Banach algebras conference, July’97, Germany
2. International Banach algebras conference, July’95, UK
3. International Conference on Harmonic Analysis and
Operator Theory, December’99, ISI New Delhi
4. VIII Gujarat Science Congress, January’93, RAJKOT
Published Research Papers
Note: (A) 11 (published) + 2 (accepted) + 1 (communicated) + 2 (under preparation) = 16
(B) 4 (independent) + 12 (jointly) = 16
(C) 6 (international) + 7 (national) = 13
1. “On a problem of H.G. Dales in Banach algebras”, (with S.J. Bhatt), Math Today, 11(A) (1993) 29-34.
2. “Uniqueness of the supnorm on C(X) and a remark on C*-algebras”, (with S.J. Bhatt and M.H. Vasavada), Jr. Math. Phil. Sci., 28(2) (1994) 89-94.
3. “Banach algebras in which every element is a topological zero divisor”, (with S.J. Bhatt), Proc. American Math. Soc., 123(3) (1995) 735-737.
4. “Uniqueness of the uniform norm and adjoining identity in Banach algebras”, (with S.J. Bhatt), Proc. Indian Acad. Sci. (Math. Sci.), 105(4) (1995) 405-409.
5. “Banach algebras with unique uniform norm”, (with S.J. Bhatt) Proc. American Math. Soc., 124(2) (1996) 579-584.
6. “On seminorms, spectral radius and Ptak's spectral function in Banach algebras”, (with S.J. Bhatt) Indian Jr. Pure Appl. Math., 27(6) (1996) 551-556.
7. “A seminorm with square property is automatically submultiplicative”, Proc. Indian Acad. Sci. (Math. Sci.) 108(1) (1998) 51-53.
8. “Compact elements in weighted discrete semigroup algebras”, Banach Algebras’97, Editors E. Albrecht and M. Mathieu, Walter De Gruyter, Berlin (1998), 119-133.
9. “Banach algebras with unique uniform norm II”, (with S.J. Bhatt), Studia Mathematica, 147 (3) (2001) 211-235.
10. “A note on weak amenability in Beurling algebras”, Prajna Jr. of Pure & Appl. Sci., Sardar Patel University, (2000-01) 69-71.
11. “On Gelfand space of weighted discrete abelian semigroup algebras”, Math. Today, 19(2)(2001) 15-24.
12. “Frechet algebras with a Laurent series generator and the annulus algebras”, (with S. J. Bhatt and S. R. Patel), Bull. Australian Math. Soc., 65(2002)371-383.
13. “Beurling algebra analogues of the Classical Theorems of Wiener and Levy on absolutely convergent Fourier series”, (with S.J. Bhatt), Proc. Indian Acad. Sci. (Math. Sci.), 113(2)(2003)179-182.
14. “A Beurling algebra is semisimple: an elementary proof”, (with S. J. Bhatt), Bull. Australian Math. Soc., 66 (2002) 91 - 93.
15. “A Note on Generalized characters”, (with S.J. Bhatt), Proc., (communicated).
16. “Beurling algebras and uniform norms”, (with S. J. Bhatt), Studia Mathematica, 160(2)(2004)179-183.
17. “On standard ideals in weighted convolution algebras on subsemigroups of R+”, Indian Jr. Pure & Appl. Math., to
appear
18. “Weighted measure algebras and uniform norms” (jointly with S. J. Bhatt), (communicated)
19. “Generalized semicharactor and weights on semigroups” (jointly with J. H. Shah), (communicated)
Delivered Talks
1. 20th July 1995, “Uniqueness of uniform norms in commutative Banach algebras”, International Banach algebra Conference, Newcastle-Upone-Tyne, UK.
2. 24th July 1997, “On compact elements in weighted discrete abelian semigroup algebras”, International Banach algebra Conference, Sabrucan, GERMANY.
3. 3rd August 1998, “UUNP in commutative Banach algebras”, Indian statistical Institute, New Delhi.
4. 26th September 1998, “On Arens regularity of Banach algebras”, Vallabh Vidyanagar Society for Mathematical Sciences, Vallabh Vidyanagar.
5. 15th February 1999, “Weighted discrete semigroup algebras”, UGC sponsored research seminar in pure & applied mathematics, Vallabh Vidyanagar.
6. 25th September 1999, “Discrete Volterra algebra”, Vallabh Vidyanagar Society for Mathematical Sciences, Vallabh Vidyanagar.
7. 10th October 1999, “About weights on abelian semigroups”, M. Sc. Students, Department of Mathematics, Vallabh Vidyanagar.
8. 25th December 1999, “About weights on the set of integers” Gujarat Ganit Mandal, Palanpur.
9. 3rd March 2000, “A Beurling algebra analogue of wiener’s theorem on absolutely convergent Fourier series”, Vallabh Vidyanagar Society for Mathematical Sciences, Vallabh Vidyanagar.
10. 6th January 2000, “UUNP in weighted Abelian Harmonic Analysis”, Conference on functional analysis and linear algebras, Indian Statistical Institute, New Delhi.
11. 26th August 2000, “A note on weak amenability in Beurling algebras”, Vallabh Vidyanagar Society for Mathematical Sciences, Vallabh Vidyanagar.
12. 30th September 2000, “A note on weak amenability in Beurling algebra II”, Vallabh Vidyanagar Society for Mathematical Sciences, Vallabh Vidyanagar.
13. 4th March 2001, “On the Gelfand space of weighted discrete semigroup Banach algebras”, National level research seminar in mathematics 2001, Vallabh Vidyanagar.
14. 5th March 2001, “Uniqueness of the uniform norm and Harmonic Analysis on locally compact abelian groups with weights”, National level research seminar in mathematics 2001, Vallabh Vidyanagar.
