RESUME 

Name 

Dr.
P.L. Sharma 





Father's
Name 

Shri. R.D. Sharma 

Permanent
Address 

House
No. 51, roura Sector2, Bilaspur
(H.P.) Pin174001 

Email
Address 

plsharma1964@gmail.com
, pl.sharma@hpuniv.ac.in 

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 

Professor 

Department 

Mathematics
and Statistics 

Institution 

Himachal
Pradesh University Shimla5 

Contact No 

9418003066
(M), 01772833774(O) 

Areas of
Interest 

Finite
Fields, Cryptography, Rhotrices, Optimizations. 

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 Counsellor
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) 

I LECTURES DELIVERED 

Sr. No. 
Dated 
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. 
21 
120514 
1 
“How
a Teacher should be?” 
ASC
BPS Vishwavidayalaya, Sonepat

22 
130514 
1 
Power
of Mind and Teacher 
ASC
Kurukshetra University, Kurukshetra

23 
281114 
1 
Power
of Mind: Mathematics and Mathematicians 
SCERT,
Solan, (H. P.) 
IIWORK 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). 

IIIPAPERS
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) 

11. 
1417 December,2014 

Indocrypt2014

Cryptology
Research society of India (CRSI) and DRDODelhi 

IVBOOKS 

Sr.
No. 
Title
of Book 
Publisher 
ISBN 
Year
of First Edition 

1. 
IITJEE Mathematics 




2. 





3. 
BCAIII MathematicsIII 
Director, ICDEOL, H.P.University, Shimla5 

Oct.,
2011 

4. 
UGC—CSIRNET Mathematics 
Satya Prakashan Publication ,New Delhi 
8176846961 
Jan.,
2012 
VRESEARCH 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 

24 
Sharma
P. L., Kumar S. and Rehan M. ,
On construction of Hadamard codes using Hadamard rhotrices ,
International Journal of Theoretical & Applied Sciences , Vol.
6, No. 1, P. 102111(2014). 
09751718


25 
Sharma
P. L. and Rehan Mansi, On
approximate values of irreducible polynomials over GF(3) with first three
given coefficients , International journal of Mathematics and analysis,
Vol. 6, No. 1, P. 126, (JanuaryJune 2014),. 
09733604


26 
Sharma
P. L. and Rehan Mansi, Approximating
number of irreducible polynomials over GF(p) with several given coefficients ,
Bulletin of Pure and Applied Sciences, Vol. 33 E (Math & Stat.), No.1, P.
5174, (2014). 


27 
Sharma
P. L., Sharma S. and Rehan M. ,
On construction of irreducible polynomials over ,
accepted for publication in Journal of Discrete Mathematical Sciences and
Cryptography. 


28 
Sharma P. L. and Rehan Mansi, On number of irreducible polynomials over finite field, Recent Trends in Algebra and Mechanics, P. 4156, IndoAmerican Books Publisher, New Delhi, (2014). 

29 



30 
Sharma P. L. and Kumar Satish, On a special type of Vandermonde rhotrix and its decompositions, Recent Trends in Algebra and Mechanics, P. 3340, IndoAmerican Books Publisher, New Delhi, (2014). 


31 



32 
Sharma
P. L., Rehan M. and Sharma S., Counting
irreducible polynomials over GF(3) with first and
third coefficients given, accepted for publication in AsianEuropean
Journal of Mathematics. 


33 
Sharma P. L. and Rehan M., Irreducible polynomials over GF(3) with first and second prescribed coefficients , accepted for publications in Asian Journal of Mathematics & Physics. 


VIM.PHIL. STUDENTS
GUIDED/ UNDER GUIDANCE 

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 
Submitted 

9. 
Neha 
Working on Public key cryptography 
2014 
Submitted 
10. 


2015 


11. 


2015 


VIIPh.D.
STUDENTS GUIDED / UNDER GUIDANCE 

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 

Submitted 

4. 
Shabnam
Sharma 
Working
on Finite Fields 

Pursuing 

5. 
Nitu Dhiman 
Working
on Symmetric key cryptography 

Pursuing 

6. 



Pursuing


7. 



Pursuing


VIIIUNIVERSITY
ASSIGNMENTS 

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

4. 


Department of Mathematics, H. P. University, Shimla Sponsored by NCM Supported
by NBHM 


XACADEMIC
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. 

4. 
Member, Editorial Board "International Journal of Applied Computational Science & Mathematics (IJACSM)" , ISSN No. 22493042. 

5. 
Member, Editorial Board, "International Journal of Economic and Management Strategy (GBSJEMS)", ISSN No. 22783636 . 

6. 
Life Member of “Cryptology Research Society of India (CRSI)”. 

7. 
Life Member of “Indian Mathematical Society (IMS)”. 

8. 
Evaluated Ph. D. Theses and Dissertations. 