RESUME
 Name
:
Dr. P.L. Sharma
 Father’s Name
:
Shri Ram Dass Sharma
 Permanent Address
:
House No. 51, Roura Sector 2, Bilaspur (HP) Pin174001
 Email Address
:
plsharma1964@gmail.com ,
plsharma_64@yahoo.com
 Own Web site Address
:
www.plsharma.in
 Place of Birth
:
Bilaspur (Himachal Pradesh), India

Date of Birth
:
09101964 (Ninth October One Thousand Nine Hundred
and Sixty Four)
 Present Designation
:
Associate Professor
 Department
:
Mathematics
 Institution
:
Himachal Pradesh University Shimla5
 Contact No
:
01978223066 (R), 9418003066 (M)
 Area of Specialization
:
Optimizations, Rhotrices, Finite Fields, Cryptography.
 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) 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: 29 and ½ years
as on 30 June, 2013.
Sr. No. 
Period 
Total Duration 
Designation 
Institution 
Remark 
1. 
03011984
To
11101994 
11 years 
Basic Teacher 
Govt. School
(Govt. Elementary Education Department) 
Appointed by Deputy Director of Education on
regular basis 
2. 
12101994
To
19111997 
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. 
20111997
To
2302 2010 
12 years 
Lecturer
in Mathematics (college cadre) 
Govt. College
(Govt. Higher Education Department) 
Selected through HP Public Service Commission
Shimla (H.P.) 
4. 
24022010
To
till today 
3 and ½ years 
Associate Professor 
Department of Mathematics, H.P. University Shimla5 
Selected by EC, H. P. University 
Achievements During the Tenure of College
(20^{th} November,1997 to 23^{rd}
February, 2010)
1. Guided six M.Phil. Mathematics students successfully.
2. Member, Editorial Board, International Journal of Theoretical & Applied
Sciences (ISSN No. 09751718)
3. A book entitled "IITJEE Mathematics"
written by me was released in the month of March 2006. 2^{nd}
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 UGCCell 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.
 Result of UG classes in Mathematics which are taught by me always
remained above the University percentage.
 More than five Mathematics students of mine were selected for
Mathematics Training and Talent Search (MTTS)
for various levels.
 I had organized Free Coaching Classes to the college students
for
State Bank of India (SBI) Clerical Examination
2009.
Unique Achievements:
 I am the first and the only Author of Himachal Pradesh to
write the book for IITJEE Mathematics.
 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 15^{th}
September 2013)
[1] LECTURES DELIVERED:
Sr. No. 
Date 
No. of Lectures 
Topic 
Institution 
1. 
30112010 
2 
Basics of Mathematics 
SCERT, Solan,
H.P. 
2. 
22122010 
2 
Applications of Mathematics in other sciences 
SCERT, Solan,
H.P. 
3. 
3012011 
2 
Groups & Rings 
ASCBPS Mahila Vishwavidylaya, Khanpur, [Sonipat]
Haryana. 
4. 
4012011 
2 
Modules &Vector Spaces 
ASCBPS Mahila Vishwavidylaya, Khanpur, [Sonipat]
Haryana. 
5. 
5012011 
2 
Semirings & Smarandache Semirings 
ASCBPS Mahila Vishwavidylaya, Khanpur, [Sonipat]
Haryana. 
6. 
6012011 
2 
 How a teacher should be? And
(ii)How teaching can
be effective? 
ASCBPS Mahila Vishwavidylaya, Khanpur, [Sonipat]
Haryana. 
7. 
28042011 
1 
Qualities of an ideal teacher 
Academic Staff College, H.P.University, Shimla. 
8. 
3052011 
2 
Fundamentals of Mathematics 
SCERT, Solan,H.P. 
9. 
23062011 
2 
(i)Challenges and Prospects of Higher Education And
(ii)How a teacher should be? 
ASCBPS Mahila Vishwavidylaya, Khanpur, [Sonipat]
Haryana. 
10. 
24062011 
2 
(i)Impact of ICT on Society And (ii)How to create your
own website? 
ASCBPS Mahila Vishwavidylaya, Khanpur, [Sonipat]. 
11. 
25062011 
2 
(i)Challenges and Prospects of Higher Education And
(ii)How a teacher should be? 
ASCBPS Mahila Vishwavidylaya, Khanpur, [Sonipat]
Haryana. 
12. 
29062011 
2 
(i)Coscholastic 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. 
1072011 
2 
(i)Mathematics in day to day life and
(ii)General Mathematical Techniques 
JNV Theog, Distt. Shimla for TGT(Maths.) of Chandigarh
Region. 
14. 
19072011 
1 
Use of Lagrange Method for optimizations 
Academic Staff College, H.P. University, Shimla. 
15. 
23072011 
1 
Use of KuhnTucker Method for optimizations 
Academic Staff College, H.P. University, Shimla. 
16. 
30052012 
2 
(i) How the teaching of a teacher can be effective
(ii) Human Software and Computer Software 
ASCBPS Mahila Vishwavidylaya, Khanpur, [Sonipat]
Haryana. 
17. 
30052012 
1 
Power of Human Mind 
ASCBPS Mahila Vishwavidylaya, Khanpur, [Sonipat]
Haryana. 
18. 
22062012 
2 
(i) Symmetric Key Cryptography (ii) Public Key
Cryptography 
Rayat Bahara Institute of Engineering and Technology,
Hoshiarpur (Punjab). 
19. 
20072012
and
30072012 
2 
(i)Quadratic Sieve
(ii)Cryptography – RSA

Academic Staff College, H.P. University, Shimla. 
20. 
28062013
and
3072013 
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. 
15032011
To
20 032010 
Symbolic Computation and use of Mathematica in
Continuum Mechanics and Algebra 
UGC 
Department of Mathematics & Statistics, Himachal
Pradesh University,
Shimla5. 
2. 
10052011
To
16052011 
Analytical Techniques for research 
UGC 
ASCBPSMahila Vishwavidyalaya,
Khanpur Kalan, (Sonepat) Haryana. 
3. 
22122011
To
6012012 
ATML on Number Theory 
NBHM 
HarishChandra 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. 
20122010

An application of Lagrange Multiplier and Karush Kuhn
Tucker(KKT) methods 
55^{th} Congress of Indian Society of
Theoretical and applied Mechanics [An International Meet ]

Department of Mathematics, NIT Hamirpur, Himachal
Pradesh. 
2. 
5032011 
Problems in Higher Education 
National Seminar on Education 
Management & B.Ed institute, Ghanatti, Distt. Shimla,
H.P. 
3. 
27032011 
Power Means with Lagrange Multiplier 
National Seminar on Mathematics 
Department of Mathematics, H.P University, Shimla 
4. 
21102011
(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. 
22102011

(Chaired Technical session) 
National Conference on Role of Mathematical and
Physical Sciences in Engineering and Technology 
Karanprayag [Uttrakhand]. 
6. 
06122011 
Constrained Multivariables Optimization and
Inequalities Involving Moments 
International Conference on Advances in Modeling,
Optimization and Computing (AMOC2011) 
Department of Mathematics, IIT Roorkee. 
7. 
18122011 
Some Applications of Lagrangean & KarushKuhnTucker
methods and Inequalities between them 
1^{st} International Conference on
Mathematical Sciences and Applications 
India International Centre, New Delhi. 
8. 
04022012 
Optimization Problems in Mathematical Statistics 
National Conference on Mathematics 
D.A.V. Jalandhar (Punjab).

[4] BOOKS :
Sr. No. 
Title of Book 
Publisher 
ISBN 
Year of First Edition 
1. 
BCAIII
MathematicsIII 
Director, ICDEOL, H.P.University, Shimla5 

Oct., 2011 
2. 
UGC—CSIRNET Mathematics 
Satya Prakashan Publication ,New Delhi 
8176846961 
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. 189,351361 (1995). [ With Prof. M.B. Banerjee]

0022247X 
2. 
"On Howard's Conjecture in Heterogeneous Shear
flows instability of modified sWaves" Indian J. pure app. Math 28
(6): 825834 June 1997.
[ With Prof. M.B. Banerjee]

00195588 
3. 
Sharma, P.L. and Sharma, R., A note on
inequalities between the moments, International Journal of
Theoretical & Applied Sciences, 2(2), P. 3033,
(2010).

09751718 
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. 135144,(2011). 
09706577 
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. 333339,
(2011). 
09706577 
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. 8890,(2011).

09751718 
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.
245249, Jan.(2012).

22309888 
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. 133143, (March, 2012) 
09739424 
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. 109118,
(2012). 
09706577 
10. 
Sharma, P.L. and Kanwar, R.K.,
Adjoint of a rhotrix and its basic properties,
International Journal of Mathematical Sciences,Vol.11,No.34,
P.337343, (2012).

0972754X 
11. 
Sharma, P.L. and Kanwar, R.K., The CayleyHamilton
theorem for rhotrices, International
Journal Mathematics and Analysis, Vol.4,No.1, P.171178, (2012). 
09733604 
12. 
Sharma, P.L. and Kanwar, R.K.,
An overview of the CayleyHamilton Theorem,
American. J. of Mathematics and Sciences, Vol. 1,
No. 2,P.249256,(July 2012). 
22503102 
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.145155 ,
(September, 2012). 
09739424 
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.133146 , (July, 2013). 
09739424 
[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 
Pursuing 
7. 
Kiran Devi 
On Elliptic Curve Cryptography 
2013 
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 


Pursuing 
3. 
Mansi Rehan 


Pursuing 
4. 
Shabnam Sharma 


Pursuing 
5. 
Nitu Dhiman 


Pursuing 
[8] UNIVERSITY ASSIGNMENTS :

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 
27032012
To
28032012 
Department of Mathematics, Himachal Pradesh
University, Shimla5. 
Organizing Secretary 
2. 
RC254 (Refresher Course in Mathematics and
Statistics) 
16072012
To
4082012 
ASC, H.P. University, Shimla5. 
Deputy Coordinator 
3. 
RC265 (Refresher Course in Mathematics and
Statistics) 
24062013
To
13072013 
ASC, H.P. University, Shimla5. 
Deputy Coordinator 
[10] ACADEMIC ASSIGNMENTS:
(1) Member, Editorial Board "International
Journal of Theoretical & Applied Sciences" ISSN No. 09751718.
(2) Member, Editorial Board "Bulletin of Pure and
Applied Sciences E (Math & Stat.)" ISSN No. 09706577.
(3) Syllabus framed for M.Phil. Mathematics Paper in
Cryptography which is submitted to the Board of Studies(PG) on 19^{th}
July,2012.
