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West Bengal State University
Barasat, North 24 Paraganas
Postal Address: Berunanpukuria, P.O. Malikapur,
North 24 Parganas, PIN 700126
Office Fax : (033) 2524 1977
Telephone : 25241975, 25241976, 25241978, 25241979

 
 
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Dr. Chanchal Kumar Basu

Professor,

Department of Mathematics,
West Bengal State University,
Berunanpukuria, Malikapur,
Barasat, 24 Pgs (N), Kolkata- 700126
West Bengal, INDIA
Email : ckbasu1962@yahoo.com

 
 

Present  Position :

        Professor,  Department of Mathematics,  West Bengal State University , India  (10. 02. 2009  onwards )

Previous (Permanent) Positions held  :

  • Reader,  Dept. of Mathematics,   Kalyani  University ,  08. 03. 2004 – 09. 02. 2009
  • Lecturer ( Sr. Scale),  Dept. of Mathematics,   Kalyani  University,  02. 02. 2001 – 07. 03. 2004
  • Senior Lecturer,  Dept. of Mathematics,   Ananda Mohan College,  08.03. 1999 – 01. 02. 2001
  • Lecturer,  Dept. of Mathematics,  Ananda Mohan College,   25. 11.1997 – 07.03.1999
  • Lecturer,  Dept. of Mathematics,   Tripura  University,   08.03.1995 – 24.11.1997

Educational Qualifications  :

B. Sc. ( Hons.) in Mathematics,  Calcutta University , 1984 ;           
M.Sc. in Pure Mathematics,  Calcutta University, 1986 ;
Ph.D.  in Pure Mathematics (Topology),  Calcutta University, 1993

Fellowships   Obtained    :

  • Calcutta University Research Scholarship , 1988
  • UGC JRF, 1988
  • UGC SRF, 1990

 

Award / Honour Received 

  • S. N. Bose Birth Centenary Young Scientist Award ,  1993
  • Chairman of a session in ICMS International Conference on Mathematical Sciences 2010,  Abant  Izzet Baysal University,  Bolu, Turkey,  November 23- 27,  2010   ( Turkey )
  • Invitation received as a valuable speaker  to present  my recent work and ideas of my paper  A note on disconnectedness  that  was published in Chaos, Solitons & Fractals (Elsevier Journal)  ( in 2009) in the international meeting : 2011 Montreal International Forum Emerging Trends in Higher Education ,     Montreal, Quebec, Canada  November 19-20, 2011    ( Canada ).
  • CSIR  Research  Associateship, 1995
  • NET ( Joint CSIR-UGC JRF Exam.) Qualified, 1988

 

(Invitation Received) for Paper Presentation / Invited Talk  ( abroad ) in 2010 - 2011 :

 

1.  International Symposium on Topology , Institute of Pure and  Applied Mathematics, Chonbuk National
     University, South Korea, on June 16, 2010 ( 50 minutes invited talk)  ( South Korea )

2.  The Summer Symposium XXXIV in Real Analysis in Wooster, Ohio, USA, of Real Analysis Exchange during
July 13-17, 2010   (USA )

3.  2010 International Conference of the Honam Mathematical Society at the Mokpo National University,
South Korea,  during June 17- 19, 2010 (South Korea )
                                                                                                                                                                          
4.  ICMS International Conference on Mathematical  Sciences 2010,  Abant Izzet Baysal University, during November
23-27, 2010 Bolu (Turkey )     
   
5.  26th  Summer  Conference on Topology and its Applications, City University, New York,  during  July  26-29,
2011 ( USA )

6.  14th Galway Topology Colloquium, Queen's University Belfast,  ( U.K. ) during August 15th to 17th, 2011             

7.  The Symposium on the Danube, Alfréd Rényi Mathematical Institute, June 5-11, 2011, Budapest, Hungary

8.  International meeting: 2011 Montreal International Forum Emerging Trends in Higher Education, Montreal,
Quebec, Canada  November 19-20, 2011 (invitation received as a valuable speaker ) (Canada)

9. The 3rd International Symposium on Nonlinear Dynamics will be held on Sept.25-28, 2010,Shanghai,  (China)

 

Workshop / School Attended ( India & Abroad ):

1 . CIMPA- Egypt Winter School on Applied Functional Analysis at African University, Aswan, Egypt, during  January
13- 31,1990  ( Egypt )
2.  Atiyah- Singer Index Theorem Workshop, Aprill 10-29,1989,  Indian Statistical Institute ,   Bangalore
3.  UGC Sponsored Instructional conference on C * algebras, December 5-26,1988, University of Hyderabad

Fields of Research Interests   :

  • Topology
  • Measure  & Integration
  • Real Analysis, Functional Analysis
  • Topological  Entropy

Important  Research Publications ( abroad ) (2008 onwards ) :

 

  1.   Fuzzy topological entropy of fuzzy continuous functions on fuzzy topological spaces, Applied Mathematics
          letters,  24 (2011) 2030–2033 ( Elsevier)    ( USA ).
  2.    Some new classes of spaces and associated graphs,  Journal of Advanced Research in Pure Mathematics
    (to appear ) 2012    ( USA )   .
  3.  -closedness  in fuzzy topological spaces,  Canadian  Journal  of  Pure  &  Applied  Sciences (British 
    Columbia) , Vol. 5, No. 1, pp. 1439-1447,     Feb 2011     ( Canada )
  4.    Pt(wr,s)- closed spaces and pre-(wr, s) t-qf -cluster sets, Comm. Korean Math. Soc., 26  (2011), No. 1, pp. 135-
    149     ( South Korea ).
  5.   Generalization of E- Michael’s  J- Space, American Institute of Physics( AIP ) Conference Proceedings,
          Volume 1309,    pp. 124-139 (2010)    ( USA ).
  6.   Pw-Closedness and Its Generalization with respect to a grill, Sarajevo Journal of Mathematics Vol.7 (20) (2011)
         (to appear )     (Bosnia ) .
  7.   A New Kind of Cluster Sets and its Applications, Missouri Journal of Mathematical Sciences,  21 (3 ) 2009,
    October, 198-205     (USA).
  8.   Uniformizable subtopology and a sort of converse of A. H. Stone’s Theorem, Real  Analysis Exchange Summer
    Symposium 2010  pp. 67-75    ( USA)
  9.   A Note On Disconnectedness, Chaos Solitons & Fractals  ( Elsevier),  42 (2009)    3242-3246    ( Amsterdam)
  10. Degeneracy of some Cluster sets,  Italian Journal of Pure and Applied Mathematics (accepted  and to
    appear)      (Italy).
  11. Non- Continuous Functions Associated with a  Covering  Property defined by β- open sets,  Real  Analysis
          Exchange , Volume 35, Number 1 (2009), 65-78    ( USA)
  12.   A Class of Functions and Separation axioms with respect to an operation,  Hacettepe  Journal of  Mathematics
          & Statistics, vol. 38 (2), 2009, 1-16    ( Turkey).
  13.   Functions with Strongly β-θ- Closed Graphs,  Mathematica, Tome 51 (74), No 2, 2009,  pp. 119-128 (Romania).
  14. Locally  β – Closed Spaces , European Journal of Pure and Applied Mathematics, vol. 2,No. 1,  2009, 85-96. 
    ( Turkey ).
  15.   Properties of Almost Continuous Multifunctions, Southeast Asian Bulletin of  Mathematics,  2008, 32, 223-234
    ( China)
  16.   b-Closed Spaces and b-q-Subclosed Graphs, European Journal of Pure and  Applied  Mathematics, vol. I,
    No. 3, (2008), 40 -50.    ( Turkey ).
  17. A Generalization of H-closed Spaces, Tamkang Journal of Mathematics, Vol. 39,  no. 2, 143- 154, summer
    2008,  ( Taipei,  Republic of China ) .

 
Referee of the following international journals ( abroad ) in 2010-2011  :

  • Fasciculi Mathematici  ( Poland )
  • Creative Mathematics and Informatics  ( Romania )
  • Journal Advanced Research in Pure Mathematics (JARPM),  ( USA )
  • Italian Journal of Pure and Applied Mathematics   ( Italy )
  • Hacettepe Journal of  Mathematics and Statistics   ( Turkey )
  • Boletim da Sociedade Paranaense de  Matemática (BSPM)   ( Brazil )
  • Journal Facta Universitatis, series: Physics, Chemistry and Technology  ( University of Niš ,  Serbia)
  • Canadian Journal of Pure and Applied Sciences  ( Canada )

Ph.D.  Research Guidance :

         Awarded  (1),  Will Submit soon (1),  Near completion  (1),  Another Ph.D. students working  (2)

No.  of  Ph.D. Thesis examined  :

  • Ph.D. Thesis Evaluated  :  03 ;  of which one from  Madurai Kamraj University. 
  • Ph.D.  Viva-voce conducted   :  02 .

 

 Subject Taught at PG- Level   :

          Algebra,  Topology,  Linear Algebra,  Functional Analysis,
Real Analysis,  Operator Theory, Lebesgue  Measure & Integration
 Teaching Experience  :
PG- Level  :   13 years;  i) in Tripura University  ii)  Kalyani University  iii)  West Bengal State University                                                
UG- Level  :   3 years;  in Ananda Mohan College,  Kolkata

 

Membership of Professional Bodies  :

  • Convenor of the Ph.D. Committee, West Bengal State University.
  • Chairperson of the PG-Board of Studies, West Bengal State University.
  • Chairperson of the Under Graduate Board of Studies, West Bengal State University.
  • Ex Member of the  Faculty Council of PG –Board of Studies, Kalyani University.
  • External Member of the UG- Board of Studies, Kalyani University.
  • Member of the PG - Board of studies, Dum Dum Motijheel College.
  • Nominated   Member of the Govorning  Body, Barasat Govt. College.        
  • Member of the committee for conference Participation, West Bengal State University
  • Life Member of Tripura Mathematical Society.

 

Invitation Received for Submission of Research papers :

  • Journal of Advanced Research in Pure Mathematics (JARPM),  ( USA ) 
  • Journal of Quantum Information Science (JQIS),  ( USA )
  • ISRN Geometry
  • EJPAM: Journal of Algebraic Statistics   ( Turkey )
  • Intelligent Control and Automation,   ( USA )
  • European Journal of Pure and Applied Mathematics ( Special Issue dedicated to the memory of Prof. Sir Clive W.J. Granger, Nobel Laureate) ( Turkey )
  • Fractal spacetime and noncommutative geometry (an international journal)
  • Fundamental Journal of Mathematical Physics
  • Cubo Journal of Mathematics   ( Brazil )
  • Topology Proceedings   ( USA )
  • International Journal of Research and Reviews in Applied Sciences  ( Pakistan )
  • International Journal of Mathematical Sciences and Engineering Applications (IJMSEA)
  • Canadian Journal of Pure and Applied Sciences  ( Canada )
  • African Journal of Mathematics and Computer Science Research

 

Major  Publications :

  1.   q-equivalent spaces – a new approach to ro-equivalent spaces and semi-regular properties, Indian  J.  Pure and
    Applied Math. , 22 (9), 745- 750, 1991   ( INSA)  .
  2.   On semi-q-closed sets, semi-q-connectedness and some associated mappings, Bull. Cal. Math. Soc. 83, 227-
    238, 1991.
  3.   q-rigid sets in topological spaces, Analele Stintifice ale Universitiatill, AI. I. CUZA  din IASI, Toml XXXVIII, S.I. a.,
    Mat. 1992 f. 2, 189-194     ( Romania ).
  4.   Further characterizations of s-closed spaces, Indian J. Pure and Appl.  Math. 23 (9), 635- 641, 1992   ( INSA ).
  5.   More on s-closed spaces, Soochow J. Math.,18 (4) 1992, 409-418    ( Republic of China ).
  6.   On S-closed and s-closed spaces, Bull Malaysian Math. Soc. (second series) 15 (1992) 1-7   ( Malaysia ).
  7.    s-closed spaces and Multifunctions, Soochow J. Math.,19 (2) 1993,  213-223 (Republic of China).
  8.   On q-semi-closed functions, Glasnik  Mat, 28 (48) 1993, 131-138   ( Corasia ).
  9.   On nearly compact spaces and d*-continuous functions, Boll Un. Mat. Ital, (7) 8-A  (1994), 223-232   ( Italy ).                                                                                                                                                                                                                               
  10. A new regular measure on topological spaces –II, Jour. Pure. Math., 12 (1995) 7-15.
  11. On locally s-closed spaces, Internat. J. Math. and Math. Sci., vol. 19 (1), 1996, 67-74    ( USA ) .
  12.   A new regular measure on topological spaces-I, Far. East. Math. Sci., Special vol. (1997), Part-I, 35-47.
  13.   Existence of an invariant measure on a generalized topological group, Bull. Cal. Math. Soc. 131-134 (1997).                                            
  14.   Existence and uniqueness of an invariant integral on more general class of functions  in a generalized topological
    group, Jour. Pure Math., Vol.14, 10-17, 1997.
    15.                                                                                                                                            
  15. On strongly irresolute and g-continuous functions, J. Pure Math., Vol. 14, 35-41, 1997.
  16.   A class of spaces and their anti spaces, Tamkang Journal of Maths. Vol. 34, No. 4,  Winter 2003, 357-
    17. 364   ( China ),.
  17. On s-perfect functions, Atti sem Mat. Univ. Modena LI, 215-22, 2003,    ( Italy ).
  18. On d-perfect Functions, Tamkang  Journal of Maths.,2004, 35, No. 3, 207-212,    ( China )                                                            
  19.   Properties of Almost Continuous Multifunctions, Southeast Asian Bulletin of Mathematics, 2008, 32, 223-234
    ( China).
    20.                                                                                                                                              
  20. A Generalization of H-closed Spaces, Tamkang Journal of Mathematics, Vol.  39,  no. 2, 143-154, summer 2008
    ( China ).
  21.   A  New Kind of Cluster Sets and its Applications, Missouri Journal of Mathematical Sciences, 21 (3 ) 2009,
    October, 198-205    (USA)
  22. b-Closed Spaces and b-q-Subclosed Graphs, European Journal of Pure and  Applied Mathematics, vol. I, No. 3,
    (2008), 40 -509    ( Turkey ).
  23.   Degeneracy of some Cluster sets,  Italian Journal of Pure and Applied Mathematics (to appear)     ( Italy ).
  24.   Functions with Strongly β-θ- Closed Graphs,  Mathematica  Cluz (accepted and to appear)   ( Romania).
  25.   Locally β–Closed Spaces, European Journal of Pure and Applied Mathematics, vol. 2, No. 1, 2009, 85-96                  
    ( Turkey ). 
  26. A Note On Disconnectedness, Chaos Solitons & Fractals (Elsevier), 42 (2009) 3242-3246    ( Amsterdam ).
  27.   A  Class of Functions and Separation axioms with respect to an operation, Hacettepe Journal of Mathematics &
    Statistics, vol. 38 (2), 2009,103-118    ( Turkey).
  28.   Pw-Closedness and Its Generalization with respect to a grill,  Sarajevo Journal of  Mathematics, Vol.7 (20)
    (2011), 1–13     ( Bosnia )                                                      
  29. Non- Continuous Functions Associated with A  Covering  Properties defined by  β–open sets, Real Analysis
    30. Exchange, Vol.35(1) 2009/2010,1-13     ( USA ).                              
  30.   Pt(wr,s)- closed spaces and pre-(wr, s) t-qf -cluster sets, Comm. Korean Math. Soc,  26 (2011), No. 1, pp. 135-
    149     ( South Korea )
  31. Uniformizable subtopology and a sort of converse of A. H. Stone’s Theorem,  Real Analysis Exchange  Summer
    Symposium 2010  pp. 67-75    ( USA ).
  32.   -closedness  in fuzzy topological spaces,  Canadian  Journal  of  Pure  &  Applied  Sciences(British Columbia)
    Vol. 5, No. 1, pp. 1439-1447, Feb 2011    ( Canada )
  33.   Generalization of E- Michael’s  J- Space,  2010,  American Institute of Physics ( AIP ) Conference Proceedings,
    Volume 1309, pp. 124-139 (2010)   ( USA )
  34.   Some new classes of spaces and associated graphs, Journal of Advanced  Research in Pure Mathematics                  
    ( accepted & to appear )    ( USA )  .
  35.   Fuzzy topological entropy of fuzzy continuous functions on fuzzy topological spaces, Applied Mathematics
    letters, 24 (2011) 2030–2033 ( Elsevier)   ( USA ).

Paper Presentations / talksabroad):

  1. Uniformizable subtopology and disconnectedness, 14th Galway Topology Colloquium, Queen's University Belfast,
    during August 15th to 17th, 2011    ( U. K. ) .
  2. Generalization of E- Michael’s J- Space, ICMS International Conference on Mathematical  Sciences 2010,  Bolu, 
    Abant Izzet Baysal University, during November 23-27, 2010,  Bolu     ( Turkey )   
  3.   Maximal Uniformizable spaces,  2010 International Conference of the Honam Mathematical Society   at the Mokp    
    National University,  South Korea,  during June17- 19, 2010   (  South Korea ).
  4.   A note on Sierpinski’s Theorem,  International Symposium on Topology at the Institute of Pure and   Applied
    Mathematics, Chonbuk National University , South Korea, on June 16, 2010 ( 50 minutes invited talk)                    
    ( South Korea ).
  5. Uniformizable subtopology and a sort of converse of A. H. Stone’s Theorem,  The Summer Symposium XXXIV in
    Real Analysis (of the journal Real Analysis  Exchange)  Wooster, Ohio, USA, during July 13--17, 2010 (USA ).

Seminar / conference attended  ( India and Abroad  )  :                                                                                                                                                       

  No. of Seminar / Conference attended  :   23

 

  
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