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Dr. Santosh Kumar Upadhyay

Professor
Department of Mathematical Sciences,IIT BHU
Phone No(s): 9450112714
Email: skupadhyay.apm@iitbhua.ac.in
Area of Interest: Wavelet Analysis, Distribution Theory, Pseudo differential operator
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Education:

  • ​D. Sc. Mathematics: B.R.A. Bihar University, Muzaffarpur (2006)       

            Title of Research: A study of Pseudo-differential Operators.

  • Ph. D. Mathematics: Banaras Hindu University, Varanasi (1993)                                                                     

            Title of Research: On Certain Weighted Lp  spaces and Fourier and  Hankel Transforms of  Distribution.

  • M. A.  Mathematics: Banaras Hindu University, Varanasi(1988).
  • B.A. Mathematics(Hon),  Economics, Statistics: Banaras Hindu University, Varanasi (1985).
     

Current Position:

  • Professor in Department of Mathematical Sciences, Indian Institute of Technology (BHU) Varanasi.

Experience: Teaching

  • Lecturer, Department of Mathematics, B.R.A. Bihar University, Muzaffarpur, 18 Nov. 1996 to 26 Dec. 2002.
  • Senior Lecturer, Department of Mathematics, Vir Kunwar Singh University, Ara, 27 Dec. 2002 to 5 Dec. 2005. 
  • Reader, Department of Mathematics and Statistics, D.D.U. Gorakhpur University, Gorakhpur, 6 Dec. 2005 to 29 Jan. 2008.
  • Associate Professor, Department of Applied Mathematics, IT BHU, Varanasi, 30 Jan. 2008 to .
  • Functional analysis
  • Distribution theory
  • Wavelet analysis and its applications
  • Mathematical method

  1. Pathak R.S. and Upadhyay S.K., Wp-spaces and Fourier transform. Proceedings of the American Mathematical Society, 121(3), 733–738, 1994.
  2. Pathak R. S. and Upadhyay S. K.,  Uµp-spaces and Hankel transform, Integr Transf. Spec. F. 3(4), 285–300, 1995.
  3. Upadhyay S. K., Hµp-spaces and Hankel transform, Proc. Math. Soc. 11, 71–76, 1996.
  4. Pathak R. S. and Upadhyay S. K., Pseudo-differential operators involving Hankel transforms, J. Math. Anal. Appl, 213(1), 133–147, 1997.
  5. Pathak R. S. and Upadhyay S. K., Convolution in   WpM,a space, Rend. Sem. Mat. Univ. Padova, 98, 57–65, 1997.
  6. Upadhyay S.K., Convolution in  Kr(Mp) space, J. Int. Acad. Phys. Sci, 3, 81-87, 1999.
  7. Upadhyay S. K., Uniqueness class of a Cauchy problem in WM1,1/bΩ1,1/a,m  space, Progr. Math. (Varanasi), 34 (1-2), 31–38, 2000.
  8. Upadhyay S. K., Pseudo-differential operator on Gelʹfand and Shilov spaces, Indian J. Pure Appl. Math., 32(5), 765–772, 2001.
  9. Pathak R. S. and Upadhyay S. K., Lµp -boundedness of the pseudo-differential operator associated with the Bessel operator. J. Math. Anal. Appl., 257 (1), 141–153, 2001.
  10. Upadhyay S. K., Asymptotic series of general symbol and pseudo-differential operators,  Integr Transf. Spec. F., 14 (1), 87–95, 2003.
  11. Upadhyay S. K., W-spaces and pseudo-differential operators, Appl. Anal., 82 (4), 381–397, 2003.
  12. Upadhyay S. K., The Hankel transformation of the Banach-space-valued ultradistributions, Integral Transf. Spec. F., 14 (5), 459–467, 2003.
  13. Upadhyay S. K., Lµp  -Boundedness of localization operators associated to Bessel left regular representations, J. Math. Anal. Appl., 311 (1), 76–91, 2005.
  14. Upadhyay S. K., Lp -norm inequality of the product of pseudo-differential operators involving Hankel transformation, Appl. Anal., 85(4), 415–428, 2006.
  15. Upadhyay S. K. and Yadav R. N., Generalized Hankel convolution on Banach space valued Gevery ultradistribution [Generalized Hankel convolution on Banach space valued Gevrey ultradistributions], J. Nat. Acad. Math. India, 21, 65–78, 2007.
  16.  Upadhyay S.K., Minimal and Maximal Pseudo-differential Operators on Gel’fand-Shilov Space, Progr.Math, (Varanasi), 41 &42, 89-102, 2008.
  17. Upadhyay S. K., Yadav, R. N. and Debnath L., The n-dimensional continuous wavelet transformation on Gelfand and Shilov type spaces, Surv. Math. Appl., 4, 239–252, 2009.
  18. Upadhyay S.K. Pseudo-differential operators on WΩ(Cn)-space, J. Int. Acad. Phys. Sci., 14 (1), 53–60, 2010.
  19.  Upadhyay S.K., Pseudo Differential Operator on Hµ(A) - type space, Progr.Math, (Varanasi), 43, 44 & 45, 29-36, 2009, 2010 & 2011.
  20.  Upadhyay S.K., Hankel Convolution of Ultradistribution of Exponential Growth, J. Com. Math. Sci., 2(1),145-152, 2011.
  21. Pathak R.S, Upadhyay S.K., and Pandey R.S., Bessel Convolution Product, Rend. Sem. Mat. Politec.Torino., 69(3), 2011.
  22. Upadhyay S.K. and Pandey R.S., Properties of Hausdorff Operator on a Subspace of  Lp(R) , Investigation in Mathematical Sciences, 1,127-135, 2011.
  23. Upadhyay S.K, Pandey R.S, The Hp(R) -Boundedness of Hausdorff Operator Involving Wavelet Transformation, Journal of wavelet theory and application, 5 (1), 1-7, 2011.
  24. Upadhyay S.K, Some Characterization of Hµ-Type Spaces, J. Int. Acad. Phys. Sci., 15 (1), 25–32, 2011.
  25. Upadhyay S.K., Pandey R.S. and Tripathi Alok, Some Properties of Bessel wavelet convolution product, Proc. of Jammu Mathematical Society, 2011.
  26. Upadhyay S.K., Yadav R.N. and Debnath L., On Continuous Bessel wavelet transformation associated with the Hankel Hausdorff Operator, Integr Transf. Spec. F., 23(5),315-323,2012.
  27.   Upadhyay S. K. and Tripathi Alok, Continuous Watson Wavelet Transform, Integr Transf. Spec. F., 23(9),639-647, 2012.
  28. Upadhyay S.K., Yadav R.N. and Debnath L., Infinite Pseudo Differential Operators on WM (Rn ) space, Analysis, 32(2), 1001-1012, 2012.
  29. Upadhyay S.K., Yadav R.N. and Debnath L., Properties of Hankel Housdroff Operator on Hardy space  H1(0,  infinity), Analysis, 32, 221-230, 2012.
  30. Upadhyay S.K., Pandey Ravi Shankar and Tripathi Alok, The Spectrum of Housdroff Operator on a subspace of  L2( Rn) , Analysis 33, 25-33, 2013.
  31. Upadhyay S.K., Kumar Anuj and Dubey Kumar Jitendra, Asymptotic Series of General Symbol of Pseudo-Differential Operator Involving Fractional Fourier Transform, ISRN Mathematical Analysis, 2013, 2013, DOI 10.1155/2013/501382.
  32. Upadhyay S.K., Kumar Anuj and Dubey Kumar Jitendra, Characterization of space of type W and pseudo-differential operator of infinite order involving fractional Fourier transform, J. Pseudo-Differential Operator Application, 5, 215-230, 2014.
  33. Upadhyay S.K., Pseudo Differential Operators on  WΩ(Cn) space, Palestinian Journal of Mathematics, 3(2), 256-268, 2014.
  34. Upadhyay S.K., Pandey Ravi Shankar and Mohapatra R.N. Hp -Boundedness of Hankel Hausdroff Operator involving Hankel Transform, Dynamics of Continuous, Discrete and Impulsive Systems,243-258 2014.
  35. Upadhyay S.K., Kumar Anuj, Characterrization of W p-type of spaces involving fractional Fourier transform, Journal of Inequalities and Applications, 2015, DOI 10.1186/s13660-014-0544-9.
  36.   Upadhyay Prateep, Upadhyay S.K., Colour Image Encryption - A Wavelet Transformation Associated with Artificial Neural Network Approach, International Journal of Computer Applications (0975 - 8887),124(7), 2015.
  37. Upadhyay S.K., Tripathi Alok, Calderon’s Reproducing Formula for Watson Wavelet Transform, Indian J.  Pure Appl. Math., 46(3), 269-277, 2015.
  38.  Pandey J.N. and Upadhyay S.K., The Continuous Wavelet Transform and Window Functions, Proceedings of the American Mathematical Society, 143(11), 4759-4773, 2015.
  39.  Pathak, R.S. and Upadhyay, S.K., Cauchy Wavelet transform of ultra –distributions in tube domains, Complex variables and Elliptic Equations , 60 (11), 1553-1566, 2015.
  40. Upadhyay S.K., Tripathi Alok and Kumar Anuj, Approximation in Watson wavelet Transform, Southeast Asian Bulletin of Mathematics, 39,149-162, 2015.
  41.  Dubey, Jitendra Kumar, Kumar Anuj and Upadhyay S.K., “Pseudo Differential Operators and Localization Operators on Svµ(R)  Space Involving Fractional Fourier Transform”,  Novi Sad J. Math. , 45(1), 285-301, 2015.
  42. Upadhyay, S.K. and Dubey, Jitendra Kumar, “Pseudo–differential operators of infinite order on WΩM(Cn) space involving fractional Fourier transform”, J. Pseudo-Differ. Oper. Appl., 6(1), 113-133, 2015.
  43. Upadhyay, S.K. and Singh, Reshma, “Integrability of the continuum Bessel wavelet kernel”, International Journal of Wavelets, Multiresolution and Information Processing,13(5), 2015, DOI: 101142/S0219691315500320.
  44. Upadhyay S.K. Dubey Jitendra Kumar, “Calderon’s formula for fractional wavelet transform”, ProceedingsInternational conference on Fractional Differentiation and its Applications, Novi Sad, Serbia, July 18-20, 2016, 745-752.

 

  1. Upadhyay, S.K. and Singh, Manmohan Chauhan, Lp- Norm Inequality of the Product of Pseudo-Differential Operator of Homogeneous Symbol involving Hankel Transformation, Investigation in Mathematical Sciences, vol. 5, 2016, 55-70.
  2. Upadhyay, S.K. and Dubey, Jitendra Kumar, Wavelet Convolution Product involving Fractional Fourier Transform, J. Frac. Cal. Appl. Analysis , Vol 20 (1), 173-189, 2017.
  3. Upadhyay, S.K. and Singh, Reshma, Bessel Wavelet Transform on the Spaces with Exponential Growth”, FILOMAT 31:8 (2017),2459-2466.
  4. Upadhyay, S.K., Singh, Reshma and Tripathi Alok, “The relation between Bessel wavelet convolution product and Hankel convolution product involving Hankel transform”, International Journal of Wavelets, Multiresolution and Information Processing, Vol. 15 No.3(2017).
  5. Upadhyay, S.K., Singh, Reshma “Abelian theorems for the Bessel wavelet transform”, The Journal of Analysis (Proceedings: ICMAA 2016), 1-12.
  6. SrivastavaH. M, Upadhyay, S.K, KhatterwaniK., “A Family of Pseudo Differential Operators on the Schwartz Space Associated With  the Fractional Fourier Transform” , Russian Journal of Mathematical Physics, Vol 24 No. 4 (2017), 534-543.
  7. Upadhyay, S.K, Khatterwani K., “Continuous Fractional Wavelet Transform”, Journal of International Academy of Physical Sciences, Vol. 21 No. 1 (2017), 55-61.
  8. Upadhyay, S.K, Kumar, Anuj, “Pseudo Differential Operators and Wavelet Transform Associated With Fractional Fourier Transform”, GANITA, Proceedings of NCMAA, Vol 67(3), 2017,79-95.
  9. Upadhyay, S.K. and Singh, Manmohan Chauhan, “Pseudo Differential Operators of Homogenous Symbol Associated With n-Dimensional Hankel Transformation”, Journal of the Indian Soc  85, (3-4), 2018.
  10.  Upadhyay, Prateep, Upadhyay, S.K, Shukla, K.K. ,”Denoising 1D Signal Using Wavelets”, Springer CCIS Series (Accepted),2017.
  11.  Upadhyay, Prateep, Upadhyay, S.K, Shukla, K.K., “Heat Equation Based ECG Signal Denoising in The Presence of White, Coloured and Muscle Artifact Noises”, Springer AISC Series (Accepted),2018.
  12. Upadhyay, Prateep, Upadhyay, S.K, Shukla, K.K,”A Mathematical Model of Consumers’ Buying Behaviour Based On Multiresolution Analysis”, Procedia Computer Science, Vol 122(2017), 564-571.
  13. Upadhyay, S.K., Singh, Reshma, “Linear Time Invariant Filter associated with Bessel Wavelet Transform”, J. Anal. (2018) 26: 323-332.
  14. Upadhyay, S.K, Kumar, Anuj, “The continuous fractional wavelet transform on W-type spaces”, Journal of the Indian Soc. 85, (3-4), 2018
  15. Upadhyay, S.K, Khatterwani K., “Characterizations of certain Hankel transform involving Riemann-Liouville fractional derivatives”, Computational and Applied Mathematics (2019) 38:24.
  16. Srivastava H. M., Khatterwani K., Upadhyay, S.K., “A certain family of fractional wavelet transformations”, Math Meth Appl Sci.2019; 42, 3103-3122.
  17. Pandey J.N., Maurya J.S., Upadhyay S.K.and Srivastava H.M., “Continuous Wavelet Transform of Schwartz Tempered Distributions in  .” Symmetry 2019, 11, 235.
Projects             Details of Projects
 Major Projects amount mobilized with grants above 5.00 Lakhs - up to 30.00 Lakhs  Wavelet and its Application, Amount 16 Lakhs ,CIMS (DST), Co-investigator
 
Minor Research Project for new faculty, IT BHU, Varanasi   Amount- 1 Lakh
          Name of Student Year of Completion Title of Thesis Co-guides (if any)
R.N.Yadav     2010 Pseudo-differential operators on certain distribution spaces   Nil
  Alok Tripathi     2013 Watson Wavelet and related wavelet transforms   Nil
Anuj Kumar     2015 A study of pseudo-differential operators involving fractional     Fourier transform   Nil
Jitendra    Kumar Dubey     2017 Pseudo- Differential Operators associated with Fractional Fourier Transform   Nil
Reshma    Singh     2017 Study on the Bessel Wavelet Transform   Nil
Manmohan  Singh Chauhan     2019 Some Observations on Certain Class of Pseudo Differential Operators.   Nil
Komal  Khatterwani     2019
(Submitted)		 Some Observations of Pseudo-Differential Operators and Wavelet Transform Involving Fractional Calculus   Nil
Prateep Upadhyay   2019
(Submitted)		 Wavelet Transformation Based Denoising of PWC Signals, ECG Signals and MR Images
Prof. K.K.

Shukla
Pragya Shukla In Progress
(July 2017)		 Spectral analysis of Pseudo-differential operator and its applications   Nil
Jay Singh    Maurya In Progress
(July 2017)		 Wavelet transform of distribution on various spaces   Nil
Kush Kumar  Mishra In Progress
(July 2018)		     Nil
Mohd. Sartaj In Progress
(January 2019)		     Nil
Amit In Progress
(July 2019)		     Nil
Babita In Progress
(July 2019)		     Nil
Sitaram Yadav In Progress
(July 2019)		     Nil

M. Tech.  Produced:

Name of Student Year of Completion Title of Thesis
Shishir Kumar 2012-2013  
Priyanka Baban 2013-2014 Color image encoding using fractional wavelet transform associated with wavelet transform
Abhishek Mani 2015-16 Construction of Orthogonal wavelets and it’s Relation with Filter Banks
Nikhil Sharma 2016-17 Study of Lossless Compression of Medical Image Data Based on Different Algorithms and Techniques

Life Members of Various Academic Bodies:

      1.Academy of Progress of Mathematics.
      2.BHU Mathematical Society, BHU.
      3.National Academy of Mathematics.
      4.International Academy of Physical Sciences.
      5.Jammu Mathematical Society, Jammu.
      6.Society of Special functions.
      7.Indian Society of Mathematics and Mathematical Sciences.
 

Reviewer/ Member of the Editorial Board in Various Journals:
       1. Assistant Editor, Progress of Mathematics, BHU.   
       2. Member of the editorial board, Journal of special function and Its Applications.

Organized Conference / Workshop:

  1. Academic Secretary, Recent Trends in Pure and Applied Mathematics, Department Applied Mathematics, IT (BHU), 2009.
  2. Member of organizing committee in the Conference of Modeling and Simulation, Department Applied Mathematics, IT (BHU), 2010.
  3. Training Program on Integral Transform, Wavelets, Distribution theory and their Applications, DST-CIMS, (BHU), from 12th July -21th July 2012.
  4. Organized a Symposia in 78th Annual Conference of Indian Mathematical Society, Wavelet Transform and Its Applications, Department of Mathematics and DST-CIMS, Banaras Hindu University, 22th January -25th January, 2013.
  5. Member of Organizing Committee in Conference of Indian Mathematical Society, Department of Mathematics and DST-CIMS, Banaras Hindu University, 22th January -25th January, 2013.
  6. Member of Organizing Committee in International Conference of The Indian Mathematics Consortium (TIMC) in cooperation with American Mathematical Society (AMS). During 14-17 Dec, 2016. DST-Centre for Interdisciplinary Mathematical Sciences, Banaras Hindu University, Varanasi-221005.
  7. Organized a Short Term Course on “Algebra, Analysis & Applications-2017 in the Department of Mathematical Sciences, IIT(BHU), Varanasi from 3rd July- 9th July, 2017.

Attended Conference of International Academy of Physical Sciences:
 

  1. Paper (“Convolution in Kr(Mp) space”) presented in the first conference of International Academy of Physical Sciences which was held in Mahatma Gandhi Kashi Vidyapeeth, Varanasi in  1996.
  2. Paper presented in the conference of International Academy of Physical Sciences which was held in DDU Gorakhpur University in the department of mathematics and statistics, Gorakhpur in 2004
  3. Presented a paper (“Pseudo Differential operator on  WΩ(Cn) space “)in the conference of International Academy of Physical Sciences which was held in University of Allahabad, Allahabad in 2010.
  4. Presented a paper (“The Hp(ℝ) Boundedness of Hausdorff Operator Involving Wavelet Transformation”) in the conference of International Academy of Physical Sciences which was held in University of Petroleum and Energy Dehradun, Dehradun in the year 2011.
  5. Delivered a talk on “Pseudo Differntial Operator on WΩ space”in the conference of International Academy of Physical Sciences which was held in Guru Ghasidas University Bilaspur, Bilaspur in 2008.
  6. Delivered a talk on “Pseudo Differential operator on  WΩ(Cn) space” in the conference of International Academy of Physical Sciences which was held in S.V.N.I.T. Surat, Surat in 2011.
  7. Delivered a talk on “A construction of Wavelet Transform”, was given in the conference of International Academy of Physical Sciences. IIIT Jabalpur, March 20-22, 2014.
  8. Delivered a talk in 17th International Conference of Physical Sciences on Recent Trends in Physical Sciences, January 16-18, 2015, Department of Mathematics, University of Rajasthan.
  9. Delivered a talk on “Cauchy Wavelet Transform on Tube Domains” in International Academy of Physical Sciences which was held in Guru Jambeshwar University Hisaar, Haryana in 2017.

Invited Talk:

  1. Invited talk on “Properties of Watson Wavelet Transform”, was given in the International Conference of Special Function and its Applications, SVNIT Surat, June 27-29, 2012.
  2. Invited talk on “Watson Wavelet Transform” was given in “78th Annual Conference of Indian Mathematical Society”, January 22-25, 2013, in the Department of Mathematics, B.H.U., Varanasi
  3. Invited talk on “Product of Distribution” was given in “Non Linear Functional Analysis and Applications”, March 4-10, 2013 in DST-CIMS (B.H.U.), Varanasi.
  4. Presented talk on “L^(p)-boundedness of localization operators involving Watson Transform associated to regular representations and wavelet multipliers”, was given in ICRPAM 6-9 November, 2014, Antalya Turkey.
  5. Invited talk on “Wavelets and application” was given in NIT Surat on 13th February 2015.
  6. Short Term Advanced Training Programme on Integral Transformations, Distributions and Wavelet Analysis, December 14-18, 2015, Department of Applied Mathematics, ISM, Dhanbad.
  7. Invited talk on “Calderon’s formula for fractional wavelet transform”, was given in International Conference on Fraction Differentiation and its Applications, Novi Sad, Serbia, July 18-20, 2016.
  8.  Presented talk on “Abelian Theorems of the Bessel Wavelet Transform”, was given in International Conference on Mathematical Analysis& its Applications, November 28-December 02, 2016.
  1.  Invited talk on “Relation between Bessel Wavelet Convolution Product & Hankel Convolution Product” was given in “Silver Jubilee Conference of the Jammu Mathematical Society and a National Seminar on Recent Developments in complex Analysis, Operator Theory and Related Areas”, October 20-22, 2016.
  2. Expert guest speaker in “Advanced Numerical and Analytical Methods for Engineers and Scientists”, organized by Department of Mathematical Sciences, IIT(B.H.U.), from January 12-18, 2017.
  3. Expert guest speaker in “Transform Methods in Sciences and Engineering” organized by Sardar Vallabhbhai National Institute of Technology, Surat from March 06-10,2017.
  4.  Presented talk on “Wavelet Transform on Schwartz space”  was given in “ International Conference on Fourier Analysis and Wavelets”, organized by Ramanujan Institute for Advance study in Mathematics, University of Madras from March 21-25,2017.
  5.  Delivered a lecture on “Wavelet Transform on Window Function” in Short Term Course on “Algebra, Analysis & Applications-2017 in the Department of Mathematical Sciences, IIT (BHU), Varanasi from 3rd July- 9th July, 2017.

Session Chaired in Various Conferences:

  1. Chaired the Paper Presenting Session of Mathematical Modelling, Analysis and Geometry in the 11th International Conference of International Academy of Physical Sciences on Mathematical Modelling, Analysis and Geometry, University of Allahabad, 20-22 February,2010.
  2. Chaired the Paper Presenting Session in the International Conference on Special Functions and their Applications (ICSFA2012), SVNIT, Surat, 27-29 June, 2012.
  3. Chaired the session of Symposia of Wavelets and their Applications in 78th Conference of Indian Mathematical Society, Department of Mathematics and DST-CIMS, BHU, 22 -25 January, 2013.
  4. Chaired the Paper Presenting Session in the International Conference of International Academy of Physical Sciences, IIIT, Jabalpur,20-22, March, 2014.
  5. Chaired the Paper Presenting Session and other Sessions in the International Conference of International Academy of Physical Sciences, Department of Mathematics, University of Rajasthan, 16-18, January, 2015.
  6. Session chaired in the  paper presenting session on wavelet analysis in the International Conference of The Indian Mathematics Consortium (TIMC) in cooperation withAmerican Mathematical Society(AMS) During 14-17 Dec, 2016.
  7. Session chaired in the paper presenting session in the annual conference of Mathematical Society of Banaras Hindu University on Recent trends in Mathematical analysis and its applications, Feb 17-18, 2017.

Training Programs and Refresher/ Orientation Courses:
       1. 42 Day Research Training Programme on Generalized Special Function of matrix Arguments, Trivandrum, 1995.
       2. Orientation Course, BRA Bihar Univ., Muzaffarpur, 1997.
       3. 3-Weeks Refresher Course on Linear Algebra, Linear Programming and Dynamical System, Academic Staff College, BRA Bihar Univ., Muzaffarpur, 1999.
       4. 3-Weeks Refresher Course, Univ. of Allahabad, Allahabad, 2005.

Attended National Conferences:

                Name          Place/Year          Contribution
 Indian Mathematical Society Pune University, Pune, 1994 Paper Presented
 Ramanujan Mathematical Society Rishikesh (India), 1995 Paper Presented
Conference of BHU Mathematical Society Banaras Hindu Univ., Varanasi, 1995 Paper Presented
VI  Annual Conference on Mathematical Society Banaras Hindu Univ., Varanasi, 2000
 		 Paper Presented
A Conference of Society of Special Fucntion and Application Banaras Hindu Univ., Varanasi, 2002.
 		 Paper Presented
A Symposium on Wavelet, Banaras Hindu Univ., Varanasi, 2002  Attended
XVII Annual Conference of Ramanujan Mathematical Society Institute of Technology, Banaras Hindu Univ., Varanasi, 2002.
 		 Paper Presented
Conference of Molecular Physics BRA Bihar Univ., Muzaffarpur,2003 Paper Presented
Annual Conference on Mathematical Scoiety Banaras Hindu Univ., Varanasi, 2006 Paper Presented
Annual conference of Jammu Mathematical Society Univ. Of Jammu, Jammu, 2010 Invited Talk
Annual conference of   Indian Mathematical Society NIT, Surat, 2010 Invited Talk
Annual conference of Indian Mathematical Society,
 		 University of Jammu, 2011. Invited Talk

Attended International Conferences:

International Symposium of Generalized Functions and their Applications. Banaras Hindu Univ, Varanasi, 1991
  •  
Conference of International Academy of Physical Science. Mahatma Gandhi Kashi Vidyapeeth, Varanasi, 1996 Paper Presented
International Conference on Functional Spaces and Application in Differential Equation. Delhi Univ., Delhi, 1997 Paper Presented
International Conference
 		 Banaras Hindu Univ., Varanasi, 1998 Paper Presented
International Conference on Analysis, Algebra and Geometry. Banaras Hindu Univ., Varanasi, 2000 Paper Presented
Conference of International Academy of Physical Sciences, Gorakhpur Univ., Gorakhpur, 2004.
 		 Paper Presented
International Academy of Physical Sciences in the Department of Physics and Mathematics, Guru Ghasidas Univ., Bilaspur, 2008.  
Invited Talk
11th International Conference of International Academy of Physical Sciences on Mathematical Modelling, Analysis and Geometry,  Univ. Of Allahabad, 2010
 		 Paper Presented and chaired the session in Analysis and Mathematical Modeling
14th International Conference of International Academy of Physical Sciences (Physical Sciences Interface with Humanity) NIT, Surat, 2011  
Invited Talk

Attended Workshop:

International Instructional Workshop on Wavelets and Application, Univ. of Delhi, Delhi, 1999 Attended
Workshop on Technical Words in Hindi BRA Bihar Univ., Muzaffarpur, 2003 Attended

 

Instructional Workshop on Wavelet Analysis

 

Banaras Hindu Univ., Varanasi, 2007

 Attended

Major awards, Fellowships of Academies Professional Societies and other honours and distinctions:

  • BHU Fellowship from 1989 to 1992. 
  •  Post Doctoral Fellowship NBHM (DAE) from 1994 to 1996.
  • Academy awards as an Associate Fellow for his valuable contributions to Mathematical Sciences on November 16, 2018 during CONIAPS XXIII at Nepal Academy of Science and Technology, Kathmandu,Nepal.
  • Delivered Professor Tribikram Pati Memorial Lecture 2018 during CONIAPS XXIII, November 16-18, 2018 held at Nepal Academy of Science and Technology, Kathmandu, Nepal.