J. Kannan

Assistant Professor at Department of Mathematics, Ayya Nadar Janaki Ammal College (Autonomous)
📚 Assistant Professor and Research Supervisor | Sivakasi, Tamil Nadu, India
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38 Publications
2 Followers
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👤 About

Skills & Expertise

Python SPSS Microsoft Office Matlab Adobe Photoshop Geogebra R C/C++ LATEX Mathematica BioPython SageMath

Research Interests

Number Theory MATHEMATICS Diophantine Analysis and Mathematical Analysis

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💼 Experience

Assistant Professor

Department of Mathematics, Ayya Nadar Janaki Ammal College (Autonomous) · January 2018 - Present

Part Time - Trainer (Quantitative Reasoning)

T.I.M.E. Institute, Trichy · January 2015 - December 2018

Full Time Ph.D. Scholar

Department of Mathematics, National College · January 2016 - December 2018

🎓 Education

National College (Autonomous), Trichy

Ph.D. in Mathematics · 2018

National College (Autonomous), Trichy

M.Phil. in Mathematics · 2015

Bharathidasan University, Tiruchirappalli

M.Sc. in Mathematics · 2014

Venus International College of Technology (VICT)

B.Sc. in Mathematics · 2012

Government Boys Higher Secondary School, Shillong

Higher Secondary in Mathematics & Biology · 2009

Jawahar Higher Secondary School, Tirunelveli

SSLC in General · 2007

🎤 Conferences & Seminars (15)

Integral Solutions of x2=4y2+5z2
Cauvery College For Women · City , Tamil Nadu, Country · August 12 and 13, 2016
The Simultaneous Diophantine equations 2 y25x2=3 and 5 z213y2=8
Vimala College for women · Thrissur, Kerala, Country · January 19 - 20, 2017
Exponential Diophantine Equation Two and Three Variables
faculty of English and Foreign languages, The Gandhigram Rural Institute · City , State , Country · Feb. 16 - 18, 2017
Exponential Diophantine Equation in Three Variables
Alagappa University · City , State , Country · Feb. 20 - 22, 2017
Pells Equation arising from a Triple of Triangular Numbers
Bharathiar University · City , State , Country · March 15 - 16, 2017
On a Class of Solutions for a Diophantine Equation of Second Degree
Bharathiar University · City , State , Country · December 07 - 08, 2017
On the Positive Integer solutions for a Diophantine Equation
Jamal Mohamed College, {Autonomous} Tiruchirappalli · City , State , Country · December 11th, 2017
Construction of a Parametric Family of Diophantine Triples in Integers
Hot By · City , State , Country · January 07 - 09, 2018
Yen Kanitha Mahabharatham
Department of Tamil, ANJAC · Sivakasi, Tamil Nadu, Country · May 2019
On the Gaussian Integer Solution for an Elliptic Diophantine Equation
Jamal Mohamed College, {Autonomous} Tiruchirappalli · City , State , Country · February 19th, 2020
On A Class of Gaussian integer solution for an Elliptic curve
BHARATHIYAR UNIVERSITY · City , State , Country · February 21st and 22nd, 2020
Integer Solutions of a Ternary Cubic Diophantine Equation
Sri Manakula Vinayagar Engineering College, Pondicherry · City , State , Country · February 24th and 25th, 2021
Extendibility of Diophantine Pairs Involving Linear Polynomials
Sri Manakula Vinayagar Engineering College, Pondicherry · City , State , Country · February 24th and 25th, 2021
Solutions of Negative Pells Equation Involving Proth Prime
Sri Manakula Vinayagar Engineering College, Pondicherry · City , State , Country · February 24th and 25th, 2021
Exponential Diophantine Equations Involving Opposite Parity Prime
Sri Manakula Vinayagar Engineering College, Pondicherry · City , State , Country · February 24th and 25th, 2021

🏅 Certificates & Licenses (6)

Diploma in Computer Application
ACT Com. Edu. · Issued on July 30, 2009
Typewriting English (Junior and Senior Grade)
Department of Technical Examination, Govt. of Tamil Nadu · Issued on April 2, 2011
Video Editing
Department of Visual Communication, ANJAC · Issued on April 26, 2020
Python 3.4.3
Department of Computer Applications, Sri GVG Visalakshi College for women · Issued on May 5th, 2020
LATEX Training
Jawaharlal Nehru Technological University Kakinada · Issued on May 8th, 2020
Research Gears using Linux, LaTeX, R, Python and Biopython Programming
Loyola College of Arts and Science · Issued on May 16th, 2020

🏆 Awards & Achievements (7)

🏆 Over All Winner
Awarded by: A State Level Inter Collegiate Meet , Jamal Mohamed College (Autonomous) and Nehru Memorial College (Autonomous), Trichy, India || Year: 2014
Description
🏆 Best Aptitude Teacher and Trainer
Awarded by: Time Institute, Both Trichy and Karur Branch, Tamil Nadu, India || Year: 2016
Description
🏆 Best Teacher - JEE Course
Awarded by: Time Institute, Karur Branch, Tamil Nadu, India || Year: 2017
Description
🏆 State Eligibility Test for Assistant Professor
Awarded by: Tamil Nadu State Government, Tamil Nadu, India || Year: 2017
Description
🏆 Dedicated Service Award
Awarded by: Ayya Nadar Janaki Ammal College (Autonomous), ANJAC, Sivakasi, Tamil Nadu, India || Year: 2019
Description
🏆 Research Excellence Award
Awarded by: Ayya Nadar Janaki Ammal College Committee (Educational Agency), Tamil Nadu, India || Year: 2020
Description
🏆 Young Researcher Award
Awarded by: InSc, Bangalore, India || Year: 2021
Description

👨‍🎓 Thesis Guided (3)

Riesz Markov Representation Theorem
Name: || Type: M.Sc. || Status:
Institution: Bharathidasan University
A Survey On Bipolar Fuzzy Graphs
Name: || Type: M.Phil. || Status:
Institution: National College (Autonomous)
A Quest on the Integral solutions of Astounding Diophantine Equations
Name: || Type: Ph.D. || Status:
Institution: National College (Autonomous)

Professional Memberships (3)

Board of Studies Member in Both UG and PG Department of Mathematics, ANJAC
Member: || Join dt: 2018 - Now
Country: India
Institute of Scholars (InSc)
Member: Life Member || Join dt: 2021 - Now
Ramanujan Mathematical Society
Member: Life Member || Join dt: 2021 - Now

📚 Publications (38)

Journal: Advances and Applications in Mathematical Sciences • September 2020
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)...
Journal: Advances and Applications in Mathematical Sciences • September 2020
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 formulae and...
Journal: Advances and Applications in Mathematical Sciences • September 2020
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 points satisf...
Journal: Advances and Applications in Mathematical Sciences • September 2020
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,z) are (0,...
Journal: Advances and Applications in Mathematical Sciences • September 2020
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