Ministry of Education
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Dr Kannan J

vidwan id: 122570
Male

Assistant Professor, Department of Mathematics
AYYA NADAR JANAKI AMMAL COLLEGE

Orchid Icon 0000-0001-6197-2119 Google Scholar Icon 58651857900 Researcher Icon AAG-8728-2020 Google Scholar Icon LEwH57QAAAAJ

Expertise

  • Mathematics

Publications

Total Articles 76
Books 0
Proceedings 0

Publications

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Scopus

Citations 2
h-index 1

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Professional Recognition

2017

Tamil Nadu State Level Eligibility Test for Assistant Professor

Mother Teresa Womens Univeristy
2018

Doctor of Philosophy in Mathematics

Bharathidasan Univeristy, Trichy.
2019

Dedicative Service Award

Ayya Nadar Janaki Ammal College (Autonomous)
2020

Excellence Award ( Recognition of significant contribution to research)

Ayya Nadar Janaki Ammal College Committee (Educational Agency)
2021

Young Researcher Award 2021

InSc, Bangalore
2021

Research Supervisor (Guide) in Mathematics

Madurai Kamaraj University, Madurai, Tamil Nadu, India.
2022

Research Supervisor and Convener , Research Advisory Committee

Madurai Kamaraj University, Madurai, Tamil Nadu, India.
2022

Young Scientist Award

INSO Award - International Research Awards on Science, Technology and Management
2023

Research Excellence Award

Hon'ble Tamil Nadu Governor Thiru R. N. Ravi and ANJA College Educational Agency

Community & Membership

2020

DST - FIST COMMITTEE, ANJAC, SIVAKASI

Member
2021

CSIR ONLINE COACHING PROGRAMME- MATHEMATICAL SCIENCES

MENTOR
2022

ANJAC Streering Committee

Member
2023

DST - SATHI

Member

Calcutta Mathematical Society (UGC CARE Listed)

2023
Reviewer

Indian Journal of Science and Technology (Web of Science indexed)

2023
Reviewer

Journal of Mathematics - Indexed by Web of Science

2022
A Peer Reviewer

INTERNATIONAL RESEARCH JOURNAL OF ENGINEERING & APPLIED SCIENCES

2022
Editorial Board Member

Earthline Journal of Mathematical Sciences - ISSN (Online) : 2581-8147

2022
Editorial Board Member

InSc, Bangalore

2021
Life Member

International Journal of Scientific & Engineering Research

2021
Editorial Board Member

Ramanujan Mathematical Society

2021
Life Member

International Journal of creative Research and Thoughts (IJCRT)

2021
Editorial Board Member and Reviewer

Board of Studies Member in both UG and PG courses of Mathematics, Ayya Nadar Janaki Ammal

2019
Member

Mathematics Association, Department of Mathematics, ANJAC, Sivakasi.

2019
Vice President

Bio

Diophantine Analysis, Number Theory, Matrix Theory, Graph Theory, and Topology.

Personal Details

  • Male
  • Assistant Professor , AYYA NADAR JANAKI AMMAL COLLEGE
  • Ayya Nadar Janaki Ammal College, Sivakasi, Srivilliputhur Main Road
Ph.D.
Other Institute 2018
State Level Eligibility Test for Assistant Professor
Mother Teresa Womens University 2017
M.Phil.
Other Institute 2015
M.Sc.
Bharathidasan University 2014
B.Sc
Other Institute 2012
Assistant Professor Mar 2018 – Present
AYYA NADAR JANAKI AMMAL COLLEGE | Department of Mathematics

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Co-Authors (2)

Kaleeswari

Kaleeswari K

AYYA NADAR JANAKI AMMAL COLLEGE

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N/A

Scholarly Work

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Scholarly Publications

A Lead-In Study on Negative Peble Graphs

Open Access
conference paper
Year: 2025. Volume: 2 , Pages: 191 - 197 .
Authors: J Kannan, A Deepshika and M Mahalakshmi
DOI 10.1007/978-981-96-0185-1_19

Diophantine Kites: Rational Diagonals and Integer Area Constructions

Open Access
article
Communications on Applied Nonlinear Analysis. Year: 2025. Volume: 32 , Pages: 01-12 .
Authors: M Mahalakshmi, J Kannan, A Deepshika, Manju Somanath, P Vijaya shanthi, and K Kaleeswari
DOI 10.52783/cana.v32.3334

Implementation of R in Cryptographic Algorithms: Integrating Symmetric Matrices and Positive Integer-Valued Functions

Open Access
article
Communications on Applied Nonlinear Analysis. Year: 2025. Volume: 32 , Pages: 841-850 .
Authors: K Kaleeswari, J Kannan, M Mahalakshmi, A Deepshika, Manju Somanath, and V Sangeetha
DOI 10.52783/cana.v32.4018

Cryptographic Application of Elliptic Curve generated through the formation of Diophantine triples using Hex Numbers and Pronic Numbers

Open Access
article
Communications on Applied Nonlinear Analysis. Year: 2025. Pages: 836-840 .
Authors: T Anupreethi, Vinmol. K. Jesudas, Manju Somanath, V Sangeetha, J Kannan, P Vijaya Shanthi
DOI 10.52783/cana.v32.4017

A Spearhead Instigation on Pseudo Peble Graphs

Open Access
conference paper
Year: 2025. Volume: 2 , Pages: 185 - 189 .
Authors: J Kannan, K Kaleeswari and M Mahalakshmi
DOI 10.1007/978-981-96-0185-1_18

A Mobilization of p- Pellian Triangles with Area in Q

Open Access
conference paper
Year: 2025. Volume: 2 , Pages: 199 - 204 .
Authors: J Kannan, M Mahalakshmi and K Kaleeswari
DOI 10.1007/978-981-96-0185-1_20

Investigating the Existence of the Exponential Diophantine Rectangles over Star and Pronic Numbers

Open Access
article
Year: 2025. Volume: 47 , Pages: 191 - 204 .
Authors: A. Deepshika and J. Kannan

On exponential Diophantine equations involving mersenne primes

Open Access
article
Year: 2024. Pages: 81-86 .
Authors: J. Kannan, K. Kaleeswari, and M. Mahalakshmi