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) Pin174001 

4 
Email
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 : 09101964 (Ninth October One Thousand Nine
Hundred and Sixty Four) 

8 
Present Designation : Professor 

9 
Department :
Mathematics and Statistics 

10 
Institution :
Himachal Pradesh University Shimla5 

11 
Contact No : 9418003066
(M), 01772833774(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 31^{st} December, 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 
(i) 20111997 To 19112009 (Lecturer) (ii) 20112009 To 23022010 Associate Professor (college cadre) 
Govt. College (Govt. Higher Education Department) 
Selected through HP Public Service Commission Shimla
(H.P.) 
4. 
24022010 To 18112012 
3 years 
Associate
Professor 
Department of Mathematics,
H.P. University Shimla5 
Selected by EC, H. P. University 
5 
19112012 To Till date 

Professor 
Department of Mathematics,
H.P. University Shimla5 
Do 
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. 
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 IITJEE 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 31^{st} March, 2014)
[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 
(i) 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). 
9. 
2325 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. 
2325 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. 
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 
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. 34, P. 271286, (JulyDec.,
2013). 
0972754X 
17 
Sharma,
P. L., Kumar, S. and Rehan, M., On Vandermonde and MDS Rhotrices over GF(2^{q}),
International Journal of Mathematical and Analysis, Vol. 5, No. 2, P.
143160, (July Dec., 2013). 
09733604 
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. 1116, (MarchApr., 2013). 
22502734 
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. 181190,
(2013). 
09706577 
20 
Sharma,
P. L. and Kumar, S., Balanced
Incomplete Block Design (BIBD)Using Hadamard Rhotrices, International
Journal of Technology, Vol. 4, No. 1, P. 6266, (Jan.June, 2014). 
22313907 
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). 
22313907 
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). 
22313907 
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. 389404, (March, 2014). 
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 
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 
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. 