RESUME

 

1

Name                                                         :    Dr. P.L. Sharma                                      

2

Father’s Name                                           :    Shri  R. D. Sharma

3

Permanent Address                             :    House No. 51, Roura  Sector -2,                                                                                                        Bilaspur (HP) Pin-174001

4

E-mail Address                                           :     plsharma1964@gmail.com , pl.sharma@hpuniv.ac.in

5

Own Web site Address                              :     www.plsharma.in

 

6

 

Place of Birth                                             :    Bilaspur (Himachal  Pradesh), India

 

 7

Date of Birth                                              :    09-10-1964 (Ninth October  One  Thousand  Nine   

                                                                         Hundred and  Sixty Four)        

 

8

Present Designation                                  :    Professor

 

9

Department                                                :    Mathematics and Statistics

 

10

Institution                                                  :    Himachal Pradesh University Shimla-5

 

11

Contact No                                                :    94180-03066 (M),     0177-2833774(O)

 

 

12

Areas of Interest                                      :   Finite Fields, Cryptography, Rhotrices, Optimizations.

 

13

 

 

Qualification                                             :  M. Phil., Ph. D. [Mathematics], MCA.

 

 

 

REMARKS:  All the blocks of higher education i.e. Graduation, Post Graduation, M. Phil and Ph.D. in Mathematics are passed concurrently with my Govt. regular job responsibilities and after getting the degree of Ph.D. I also did CIC and 3 years Master Degree of “Master in Computer Application(MCA) from IGNOU along with same condition of my Govt. regular job responsibilities.        

Qualified Departmental Examination in Financial Administrations conducted by Himachal Pradesh Institute of Public Administration, Fairlawn, Shimla. 

 

TEACHING  EXPERIENCE:

30 years as on 31st December, 2013.

Sr. No.

 

Period

 

Total Duration

 

Designation

 

Institution

 

Remark

 

1.

 

03-01-1984

To

11-10-1994

 

11 years

 

  Basic Teacher

Govt. School

(Govt. Elementary Education Department)

Appointed by Deputy Director of Education on regular basis

 

2.

 

12-10-1994

To

19-11-1997

 

3 years

 

Lecturer in Mathematics

(School cadre)

Govt. Sr. Sec. School

 (Govt. Secondary Education Department)

  

Selected through HP Public Service Commission Shimla (H.P.)  

 

3.

 

20-11-1997

To

23-02- 2010

 

12 years

 

(i) 20-11-1997

           To

     19-11-2009

   (Lecturer)

(ii) 20-11-2009

         To

    23-02-2010

Associate Professor

  (college cadre)

Govt.  College

(Govt. Higher Education Department)

Selected through HP Public Service Commission Shimla (H.P.)  

 

4.

 

24-02-2010

To

18-11-2012

 

3 years

 

Associate Professor

Department of Mathematics,

H.P. University Shimla-5

Selected by EC, H. P. University

5

19-11-2012

To

Till date

 

 

Professor

Department of Mathematics,

H.P. University Shimla-5

 

Do

 

 

Achievements During the Tenure of College

(20th November,1997 to 23rd February, 2010)

1

Guided six M.Phil. Mathematics students successfully.           

2

Member, Editorial Board, International Journal of Theoretical & Applied   Sciences (ISSN No. 0975-1718)                        

3

A book entitled “IIT-JEE Mathematics” written by me was released in the     month of March 2006. 2nd edition is available in market. 

4

Another book entitled “Mathematics for AIEEE” is written by me was released in November 2008; Second edition is available in market.

5

Two more books written by me entitled "Applied Mathematics -I, Applied Mathematics –II” for Engineering to the IASE University.

6

One section of GATE Book published by “Satya Prakashan is    written by me.

7

Awarded as the best IGNOU Counselor by IGNOU Learners  Association.

8

Attended one Refresher Course in Mathematics at University of  Kerala.

9

Attended one Orientation Programme and one Refresher course on  ICT  in HP       University, Shimla Himachal Pradesh.

10

Attended National Seminar on Mathematics in NIT Hamirpur (HP)

   11     A workshop on National Mission on Education Through ICT was attended in HP    University Shimla.    

12

I was convener of the UGC-Cell of the college and had submitted a proposal to ICSSR for a seminar entitled “Human Rights: Issues and   problems” and the same was organized under my convener ship.  

13

I remained the founder Coordinator of BCA & PGDCA Department of the Govt. P.G. College Bilaspur.                       

14

I Organized two days seminar of the BCA & PGDCA students of the college and helped the students

of BCA Final year to develop the college website namely www.gpgcollegebilaspur.in

15

I performed the responsibility of Time Table Inchargeship of the college for many years.              

16

Result of UG classes in Mathematics which are taught by me always   remained above the University percentage.           

17

More than five  Mathematics students of mine were selected for  Mathematics Training and Talent Search (MTTS) for various levels.

18

I had organized Free Coaching Classes to the college students for   State Bank of India (SBI) Clerical Examination 2009.   

                                                                                                                                             

Unique Achievements:

1.      I am the first and the only Author of Himachal Pradesh to write the book  for  IIT-JEE Mathematics.

2.      I am the first and the only Author of Himachal Pradesh to write the book  for  AIEEE  Mathematics

 

Details of  Academic  activities during the Tenure of University

(February 2010 to 31st March, 2014)

 

[1] LECTURES DELIVERED:

 

Sr. No.

Date

No. of Lectures

Topic

Institution

1.

30-11-2010

2

Basics of Mathematics

SCERT, Solan,

H.P.

2.

22-12-2010

2

Applications of Mathematics in other sciences

SCERT, Solan,

H.P.

 

3.

 

3-01-2011

 

2

 

Groups & Rings

ASC-BPS Mahila  Vishwavidylaya,        Khanpur,    [Sonipat] Haryana.

 

4.

 

4-01-2011

 

2

 

Modules &Vector Spaces 

ASC-BPS Mahila  Vishwavidylaya,      Khanpur,    [Sonipat] Haryana.

 

5.

 

5-01-2011

 

2

 

Semirings & Smarandache Semirings 

ASC-BPS Mahila  Vishwavidylaya,      Khanpur,    [Sonipat] Haryana.

 

6.

 

6-01-2011

 

2

(i)  How a teacher should be?          And 

(ii)How teaching can   

     be   effective?

ASC-BPS Mahila  Vishwavidylaya,      Khanpur,    [Sonipat] Haryana.

 

7.

 

28-04-2011

 

1

 

Qualities of an ideal teacher

Academic Staff College, H.P.University, Shimla.

8.

3-05-2011

2

Fundamentals of  Mathematics

SCERT,   Solan,H.P.

 

9.

 

23-06-2011

 

2

(i)Challenges and Prospects of Higher Education And

(ii)How a teacher should be? 

ASC-BPS Mahila  Vishwavidylaya,      Khanpur,    [Sonipat] Haryana.

 

10.

 

24-06-2011

 

2

(i)Impact of ICT on Society And        (ii)How  to create your   

     own website?

ASC-BPS Mahila  Vishwavidylaya,      Khanpur, [Sonipat].

 

11.

 

25-06-2011

 

2

(i)Challenges and Prospects of Higher Education And

(ii)How a teacher should be? 

ASC-BPS Mahila  Vishwavidylaya,      Khanpur, [Sonipat] Haryana.

 

 

12.

 

 

29-06-2011

 

 

2

(i)Co-scholastic activities and their importance in Mathematics and

(ii)Innovations and Creativity in Teaching of Mathematics  

JNV Theog, Distt. Shimla for TGT(Maths.) of Chandigarh Region.

 

13.

 

1-07-2011

 

2

(i)Mathematics in day to day life  and

(ii)General Mathematical Techniques

JNV Theog, Distt. Shimla for TGT(Maths.) of Chandigarh Region.

 

14.

 

19-07-2011

 

1

Use of Lagrange Method for optimizations

Academic Staff College, H.P. University, Shimla.

 

15.

 

23-07-2011

 

1

Use of Kuhn-Tucker Method for optimizations

Academic Staff College, H.P. University, Shimla.

 

16.

 

30-05-2012

 

2

(i) How the teaching of a teacher can be effective (ii) Human Software and Computer Software  

ASC-BPS Mahila  Vishwavidylaya,      Khanpur,    [Sonipat] Haryana.

 

17.

 

30-05-2012

 

1

 

Power of Human Mind

ASC-BPS Mahila  Vishwavidylaya,      Khanpur,    [Sonipat] Haryana.

 

18.

 

22-06-2012

 

2

 

(i) Symmetric Key   Cryptography                                     (ii) Public Key Cryptography

Rayat Bahara Institute of Engineering and Technology, Hoshiarpur (Punjab).

19.

20-07-2012

and

30-07-2012

 

2

(i)Quadratic Sieve

(ii)Cryptography – RSA

 

Academic Staff College, H.P. University, Shimla.

20.

28-06-2013

and

3-07-2013

 

2

(i)Basics of Cryptography

(ii)Discrete Logarithmic Problem

 

Academic Staff College, H.P. University, Shimla.

 [2]     WORK SHOP   ATTENDED:

 

Sr. No.

Period

Title of Workshop

Sponsoring Agency

Organising Institute

 

1.

 

15-03-2011

To

20 -03-2010

 

Symbolic Computation and use of Mathematica in Continuum Mechanics and Algebra

 

 

UGC

Department of Mathematics & Statistics, Himachal Pradesh University,   

 Shimla-5.

2.

10-05-2011

To

16-05-2011

 

Analytical Techniques for research

 

UGC

ASC-BPS-Mahila  Vishwavidyalaya,

Khanpur  Kalan, (Sonepat) Haryana.

3.

22-12-2011

To

6-01-2012

 

ATML on Number Theory

 

NBHM

Harish-Chandra Research Institute  (HRI) Allahabad (UP).

  

   

[3]    PAPERS  PRESENTED /DELIVERED INVITED TALK/CHAIRED  TECHNICAL   SESSION 

IN   CONFERENCES /SEMINARS :

 

Sr. No.

Date

Title of Paper

Title of Conference

Organising Institute

 

1.

 

20-12-2010

 

An application of Lagrange Multiplier and Karush Kuhn Tucker(KKT) methods

55th Congress of Indian    Society of Theoretical and applied Mechanics [An International  Meet ]  

Department of  Mathematics, NIT Hamirpur, Himachal Pradesh.

 

2.

 

5-03-2011

 

Problems in Higher Education

 

National Seminar on Education

Management & B.Ed    institute, Ghanatti,  Distt. Shimla, H.P.

 

3.

 

27-03-2011

 

Power Means with Lagrange Multiplier

 

National Seminar on Mathematics

Department of                    Mathematics, H.P  University, Shimla

 

 

4.

 

 

21-10-2011

(Invited Talk)

Formulation of Some Standard Inequalities as Optimization Problems

National Conference on Role of                   Mathematical  and Physical Sciences in Engineering and Technology

 

Karanprayag  [Uttrakhand].

 

 

5.

 

 

22-10-2011

 

 

 

(Chaired Technical session)

National Conference on Role of                   Mathematical  and Physical Sciences in Engineering and Technology

 

 

Karanprayag  [Uttrakhand].

 

6.

 

06-12-2011

Constrained Multivariables Optimization and Inequalities   Involving Moments

International Conference on Advances in Modeling, Optimization and Computing (AMOC-2011)

 

Department of   Mathematics,  IIT Roorkee.

 

7.

 

18-12-2011

Some Applications of  Lagrangean & Karush-Kuhn-Tucker    methods and Inequalities between them

1st International Conference on Mathematical Sciences and Applications

 

India International Centre, New Delhi.

 

8.

 

04-02-2012

Optimization Problems in Mathematical Statistics

 

National Conference on Mathematics

 

D.A.V. Jalandhar (Punjab).

 

9.

 

23-25 October, 2013

(Invited Talk)

Rhotrices, Finite Fields with Applications in Cryptography

National Conference on Recent Trends in Algebra and Analysis

(Sponsored by DST, PU Chandigarh)

A.S. College for Women, Khanna(Punjab)

10.

 

23-25 October, 2013

 

(Chaired Technical session)

National Conference on Recent Trends in Algebra and Analysis

(Sponsored by DST, PU Chandigarh)

A.S. College for Women, Khanna(Punjab)

 

  

[4] BOOKS : 

 

Sr. No.

Title of Book

Publisher

ISBN

Year of First Edition

 

1.

 

BCA-III

Mathematics-III

Director,                  ICDEOL, H.P.University, Shimla-5

 

 

Oct., 2011

2.

UGC—CSIR-NET Mathematics

Satya   Prakashan  Publication ,New Delhi

81-7684-696-1

Jan., 2012

[5]  RESEARCH   PUBLICATIONS  :     

 

Sr.No.

Research Paper

ISSN

1.

"A Mathematical Theorem in Rotatory Thermohaline Convection"

Journal of Mathematical Analysis and Application in USA California. 189,351-361 (1995). [ With Prof. M.B. Banerjee]

 

0022-247X

2.

 "On Howard's Conjecture in Heterogeneous Shear flows instability of modified s-Waves" Indian J. pure app. Math 28 (6): 825-834 June 1997.

[ With Prof. M.B. Banerjee]

 

 

0019-5588

3.

Sharma, P.L. and Sharma, R., A note on inequalities between the moments, International Journal of Theoretical & Applied Sciences, 2(2), P. 30-33, (2010).

 

 

0975-1718

4.

Sharma, P.L. and Sharma, R ., some optimization problems related with inequalities between the moments, Bulletin of Pure and Applied Sciences  Volume 30 E (Math & Stat.)  Issue (No.1) P. 135-144,(2011).

 

0970-6577

5.

Sharma, P.L. and Kanwar, R.K., A note on relationship between   invertible rhotrices and associated invertible matrices, Bulletin of Pure and Applied Sciences Volume 30 E (Math & Stat.)  Issue (No.2) P. 333-339, (2011).

 

0970-6577

6.

Sharma, P.L. and Sharma, R ., Some optimization problems involving moments of discrete random variables, International Journal of Theoretical & Applied Sciences, 3(2), P. 88-90,(2011).

 

 

0975-1718

7.

Sharma, P.L. and Sharma, R., On optimization problems and inequalities involving three moments , International Journal of Mathematical Sciences and Applications Vol. 2,No 1, P. 245-249, Jan.(2012).

 

 

2230-9888

8.

Sharma, P.L., Sharma, R. and Thakur, A., A note on inequalities involving moments of a discrete random variable, International J. of Math. Sci. & Engg. Appls. (IJMSEA),Vol. 6 No. II, P. 133-143, (March, 2012)

 

0973-9424

9.

Sharma, P.L. and Kanwar, R.K., On inner product space and bilinear forms over rhotrices, Bulletin of Pure and Applied Sciences Volume 31 E (Math & Stat.)  Issue (No.1) P. 109-118, (2012).

 

0970-6577

10.

Sharma, P.L. and Kanwar, R.K., Adjoint of a rhotrix and its basic properties, International Journal of Mathematical Sciences,Vol.11, No.3-4, P.337-343, (2012).

 

 

0972-754X

11.

Sharma, P.L. and Kanwar, R.K., The Cayley-Hamilton theorem for rhotrices,  International Journal Mathematics and Analysis, Vol.4,No.1, P.171-178, (2012).

0973-3604

12.

Sharma, P.L. and Kanwar, R.K., An overview of the Cayley-Hamilton Theorem,

American. J. of Mathematics and Sciences, Vol. 1, No. 2,P. 249-256,(July 2012).

 

2250-3102

13.

Sharma, P.L. and Kanwar, R.K., A note on the arithmetic function , International J. of Math. Sci. & Engg. Appls. (IJMSEA),Vol. 6 No. V, P.145-155 , (September, 2012).

 

0973-9424

14.

Sharma, P.L. and Rehan, M., On Security of Hill Cipher using Finite Fields, International Journal of Computer Applications, Vol. 71, No.4, (May 2013).

 

0975 – 8887

15

Sharma, P.L. and Kanwar, R.K., On Involutory and Pascal rhotrices, International J. of Math. Sci. & Engg. Appls. (IJMSEA),Vol. 7 No. IV, P.133-146 , (July, 2013).

 

0973-9424

16

Sharma, P. L. and Kumar, S., On Construction of MDS Rhotrices from Companion Rhotrices over Finite Field, International Journal of Mathematical Sciences, Vol.12, No. 3-4, P. 271-286, (July-Dec., 2013).

 

0972-754X

17

Sharma, P. L., Kumar, S. and  Rehan, M., On Vandermonde and MDS Rhotrices over GF(2q), International Journal of Mathematical and Analysis, Vol. 5, No. 2, P. 143-160, (July- Dec., 2013).

 

0973-3604

18

Sharma, P. L. and Kumar S., Secure Communication & Digital Signature Verification Through RSA, International Journal of Computer Science and Information Technology Research Excellence, Vol. 3, No. 2, P. 11-16, (March-Apr., 2013).

 

2250-2734

19

Sharma, P. L., Kumar, S. and  Rehan, M., On Hadamard Rhotrix over Finite Field, Bulletin of Pure and Applied Sciences,  Vol. 32 E (Math & Stat.), No.2, P. 181-190, (2013).

 

0970-6577

20

Sharma, P. L. and Kumar, S., Balanced Incomplete Block Design (BIBD)Using Hadamard Rhotrices, International Journal of Technology, Vol. 4, No. 1, P. 62-66, (Jan.-June, 2014).

 

2231-3907

21

Sharma, P. L. and Sharma, S. An Application of Finite Field in Hill Cipher, International Journal of Technology, Vol. 4, No. 1, P. 248- 251, (Jan.-June, 2014).

 

2231-3907

22

Sharma, P.L. and Rehan, M., Modified Hill Cipher Using Vandermonde Matrix and Finite Field, International Journal of Technology, Vol. 4, No. 1, P. 252- 256, (Jan.-June, 2014).

 

2231-3907

23

Sharma P. L. and Kumar S., Some applications of Hadamard rhotrices to design balanced incomplete block, International J. of Math. Sci. & Engg. Appls.

Vol. 8, No. II, P. 389-404, (March, 2014).

0973-9424

 

[6] M.PHIL.  STUDENTS   GUIDED/ UNDER GUIDANCE: [7]

 

Sr. No.

Name of Candidate

Title of Dissertation

Year

Status

 

1.

 

Sanjay Kumar

On Semirings with Decending Chain

Condition and without Nilpotent Elements

 

2010

 

Completed

2.

Shabnam Sharma

On Finite Fields and Their Algebraic  Properties

2011

Completed

3.

Minakshi

On RSA Algorithm in Cryptography

2011

Completed

4.

Nitu Dhiman

A Study of some Optimization Problems Related to the Moments

2012

Completed

5.

Paridhi Sharma

On the Discrete Logarithm Problem and Diffie-  Hellman Algorithm in Cryptography

 

2012

 

Completed

6.

Kiran Thakur

On Primality Tests and Integer Factorisation Techniques

2013

Completed

7.

Kiran Devi

On Elliptic Curve Cryptography

2013

Completed

8.

Bhagat Ram

Working on symmetric key cryptography

2014

Pursuing

9.

Neha

Working on Public  key cryptography

2014

Pursuing

     

       

[7]  Ph.D. STUDENTS GUIDED / UNDER GUIDANCE : [5]

 

Sr. No.

Name of Candidate

Title of Thesis

Year

Status

1.

Raj kumar kanwar

A Study of Some Analogous Properties

of Rhotrices and Matrices

2013

Completed

2.

Satish kumar

 Extensions And Applications Of Vandermonde, Hadamard And Companion Rhotrices With Maximum Distance Separable Rhotrix Over Finite Field

2014

 

Submitted

3.

Mansi Rehan

Working on Finite Fields

 

Pursuing

4.

Shabnam Sharma

Working on Finite Fields

 

Pursuing

5.

Nitu Dhiman

Working on Symmetric key cryptography

 

Pursuing

 

 

 

                                                [8]  UNIVERSITY ASSIGNMENTS :

 

(1)     Performed the duties of Hostel Warden from February 2011 to June 2011.

[9] DETAILS OF THE SEMINARS/CONFERENCE/WORKSHOPS    ORGANISED:

 

Sr. No.

Title of Conference

Period

Organising Institution

Capacity

 

1.

 

National Conference in    Algebra

27-03-2012

To

28-03-2012

Department of Mathematics, Himachal Pradesh University, Shimla-5.

 

Organizing Secretary

 

2.

RC-254 (Refresher Course in Mathematics and Statistics)

16-07-2012

To

4-08-2012

 

ASC, H.P. University, Shimla-5.

 

Deputy Coordinator

 

3.

RC-265 (Refresher Course in Mathematics and Statistics)

24-06-2013

To

13-07-2013

 

ASC, H.P. University, Shimla-5.

 

Deputy Coordinator

 

    

[10]  ACADEMIC  ASSIGNMENTS:

 

                                                                                               

(1)      Member, Editorial Board “International Journal of Theoretical & Applied Sciences”   ISSN No. 0975-1718.

                                                                                             

(2)       Member, Editorial Board “Bulletin of Pure and Applied Sciences E (Math & Stat.)”   ISSN No.  0970-6577. 

                                                                                             

(3)    Syllabus  framed for M.Phil. Mathematics  Paper in Cryptography which is submitted to the Board of Studies(PG) on 19th July,2012.