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About

Mathematics and Statistics is inevitable to make business successful and I am highly motivated to take up real-time challenges and drive solutions using my knowledge. Dr. J. Kannan completed his Doctoral of Philosophy in Mathematics (2018), Master of Philosophy in Mathematics (2015), Master of Science in Mathematics (2014), and Bachelor of Science in Mathematics (2012) from Bharathidasan University, Trichy, Tamil Nadu, India. Over 3 years of academic and research experience with 35 research articles published in National and International Peer-reviewed Journals, and also Published 3 Book Chapters. Three students are pursuing their M.Sc., Project and ten students completed their M.Sc., Project in their masters degree under his supervision. His research interest includes Number Theory, Linear Algebra, Differential Equations and Mathematical Analysis. He has delivered a number of invited talks on many national platforms of repute. He has worked as an Expert Member in various committees in the institutions and member of different professional bodies like Ramanujan Mathematical Society, Board of Studies Member in Department of Mathematics, Anjac, Sivakasi.

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Skills

Experience

Full Time Ph.D. Scholar

Department of Mathematics, National College

Jan-2016 to Dec-2018
Part Time - Trainer (Quantitative Reasoning)

T.I.M.E. Institute, Trichy

Jan-2015 to Dec-2018

Education

National College (Autonomous), Trichy

Ph.D. in Mathematics

Passout Year: 2018
National College (Autonomous), Trichy

M.Phil. in Mathematics

Passout Year: 2015
Bharathidasan University, Tiruchirappalli

M.Sc. in Mathematics

Passout Year: 2014
Venus International College of Technology (VICT)

B.Sc. in Mathematics

Passout Year: 2012
Government Boys Higher Secondary School, Shillong

Higher Secondary in Mathematics & Biology

Passout Year: 2009
Jawahar Higher Secondary School, Tirunelveli

SSLC in General

Passout Year: 2007

Publication

Solutions Of Negative Pell’s Equation Involving Interprimes

Many researchers have been devoted to finding the solutions (𝜼,𝜻) in the set of non-negative integers, of Diophantine equation (Pell Equation) of the type 𝜼𝟐=𝑫𝜻𝟐±𝜶, ...

On the Gaussian integer solutions for an elliptic Diophantine equation

The quadratic Diophantine equation with two unknowns represented by an elliptic curve DE: 65J2+225 K2-230 JK = 1600 is analyzed for its non-zero separate solutions in Z[i]. We also gain a fe...

Non-Trivial Integer Solutions of the Quadratic Diophantine Equations x2=25y2+29z2and2+2=612

Many types of research have been devoted to finding the solutions η,ζ ,δ in the set of non-negative integers of Diophantine equations of the types η 2 = αζ 2 +βδ 2 and η 2 +ζ 2...

Exponential Diophantine Equations Involving Opposite Parity Prime

Many researchers have been devoted to finding the solutions (x, y,z) in the set of nonnegative integers, of Diophantine equations of the type px +qy = z2, where the values and q are fixed. I...

Solutions of negative Pell’s equation involving proth prime

Many researchers have been devoted to finding the solutions (η,ζ) in the set of non-negative integers, of Diophantine equation (Pell Equation) of the typeη^2=Dζ^2±α, where the value α...

On A Class Of Gaussian Integer Solutions For An Elliptic Curve

The quadratic Diophantine equation with two unknown represented by an elliptic curve D : 76J2 + 649K2 – 436JK = 1600 is analyzed for its non-zero distinct solutions in Z[i]. We also derive...

Solutions of Negative Pell Equation Involving Chen Prime

In this manuscript, we look for non-trivial integer solution to the equation x2 = 29y2 - 7', t = N for the singular choices of particular by (i) i = 1, (ii) t = 3, (iii) i = 5, (iv) | = 2k, ...

On a class of solutions for a Quadratic Diophantine equation

Let P:=P(x) be a polynomial in Z(x). In this manuscript, we think about the integral points of a bilinear Diophantine equation: DE: a^2-90b^2-10a-1260b=4401. We as well get hold of a few for...

Non Trivial Integral Solutions Of Ternary Quadratic Diophantine Equation

The ternary homogeneous equation instead of an infinite cone given by x^2+y^2-6x+10y=34(z^2-1) is analyzed for its non zero distinctive integer points. Few dissimilar patterns of integer poi...

Exponential Diophantine Equation In Three Unknowns

In this manuscript, we demonstrate with the purpose of the given two singular Exponential Diophantine equation 23^x+24^y=z^2 and 62^x+63^y=z^2 has a unique solution in N*. the solution (x,y,...

Conference/Seminar/STTP/FDP/Symposium/Workshop

Exponential Diophantine Equations Involving Opposite Parity Prime

Hosted By:

Sri Manakula Vinayagar Engineering College, Pondicherry ,

India

Solutions of Negative Pells Equation Involving Proth Prime

Hosted By:

Sri Manakula Vinayagar Engineering College, Pondicherry ,

India

Extendibility of Diophantine Pairs Involving Linear Polynomials

Hosted By:

Sri Manakula Vinayagar Engineering College, Pondicherry ,

India

Integer Solutions of a Ternary Cubic Diophantine Equation

Hosted By:

Sri Manakula Vinayagar Engineering College, Pondicherry ,

India

On A Class of Gaussian integer solution for an Elliptic curve

Hosted By:

BHARATHIYAR UNIVERSITY ,

India

On the Gaussian Integer Solution for an Elliptic Diophantine Equation

Hosted By:

Jamal Mohamed College, {Autonomous} Tiruchirappalli ,

India

Yen Kanitha Mahabharatham

Hosted By:

Department of Tamil, ANJAC ,

Sivakasi, Tamil Nadu, India

Construction of a Parametric Family of Diophantine Triples in Integers

Hosted By:

,

India

On the Positive Integer solutions for a Diophantine Equation

Hosted By:

Jamal Mohamed College, {Autonomous} Tiruchirappalli ,

India

On a Class of Solutions for a Diophantine Equation of Second Degree

Hosted By:

Bharathiar University ,

India

Pells Equation arising from a Triple of Triangular Numbers

Hosted By:

Bharathiar University ,

India

Exponential Diophantine Equation in Three Variables

Hosted By:

Alagappa University ,

India

Exponential Diophantine Equation Two and Three Variables

Hosted By:

faculty of English and Foreign languages, The Gandhigram Rural Institute ,

India

The Simultaneous Diophantine equations 2 y25x2=3 and 5 z213y2=8

Hosted By:

Vimala College for women ,

Thrissur, Kerala, India

Integral Solutions of x2=4y2+5z2

Hosted By:

Cauvery College For Women ,

Tamil Nadu, India

Certificates

Issued : May 2020
  • dott image By : Jawaharlal Nehr...
LATEX Training
Issued : May 2020
  • dott image By : Department of C...
Python 3.4.3
Issued : May 2020
  • dott image By : Loyola College ...
Research Gears using Linux, LaTeX, R, Python and Biopython Programming
Issued : Jul 2009
  • dott image By : ACT Com. Edu.
Diploma in Computer Application
Issued : Apr 2020
  • dott image By : Department of V...
Video Editing
Issued : Apr 2011
  • dott image By : Department of T...
Typewriting English (Junior and Senior Grade)

Membership

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Life Member

Ramanujan Mathematical Society

From year 2021 to Now
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Life Member

Institute of Scholars (InSc)

From year 2021 to Now
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Board of Studies Member in Both UG and PG Department of Mathematics, ANJAC

From year 2018 to Now

Honours & Awards

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Young Researcher Award
Awarded by:

InSc, Bangalore, India

Year: 2021
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Research Excellence Award
Awarded by:

Ayya Nadar Janaki Ammal College Committee (Educational Agency), Tamil Nadu, India

Year: 2020
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Dedicated Service Award
Awarded by:

Ayya Nadar Janaki Ammal College (Autonomous), ANJAC, Sivakasi, Tamil Nadu, India

Year: 2019
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State Eligibility Test for Assistant Professor
Awarded by:

Tamil Nadu State Government, Tamil Nadu, India

Year: 2017
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Best Teacher - JEE Course
Awarded by:

Time Institute, Karur Branch, Tamil Nadu, India

Year: 2017
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Best Aptitude Teacher and Trainer
Awarded by:

Time Institute, Both Trichy and Karur Branch, Tamil Nadu, India

Year: 2016
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Over All Winner
Awarded by:

A State Level Inter Collegiate Meet , Jamal Mohamed College (Autonomous) and Nehru Memorial College (Autonomous), Trichy, India

Year: 2014

Doctoral and Master Thesis Guided

A Quest on the Integral solutions of Astounding Diophantine Equations
Research Scholar:

(Ph.D.)

Institute : National College (Autonomous)

Area of research:

A Survey On Bipolar Fuzzy Graphs
Research Scholar:

(M.Phil.)

Institute : National College (Autonomous)

Area of research:

Riesz Markov Representation Theorem
Research Scholar:

(M.Sc.)

Institute : Bharathidasan University

Area of research:

Scholar9 Profile ID

S9-082024-0905791

Publication
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(38)

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Conferences
Conferences/Seminar

(15)