Department of Mathematics

Dr. Navis Vigilia

Assistant Professor

  • Academic Experience:

    Research Experience: 7 Years
    Teaching Experience: 24 Years
    Total Citations: 120
    H Index: 2

  • Qualification:

    M.Sc., B.Ed., M.Phil., Ph.D.

Dr. Navis Vigilia

Assistant Professor


# Degree Subject University, place ,year
1 Ph.D. Mathematics M S University, Tirunelveli, 2019
2 B.Ed. Mathematics Barathiar University, Coimbatore.
3 M.Phil. Mathematics M S University, Tirunelveli, 2007
4 M.Sc. Mathematics M S University, Tirunelveli, 1995
5 B.Sc Mathematics M S University, Tirunelveli, 1993

Mathematics, Graph theory

• Book Editor: Aleph Function: Properties and Their Applications WPS Office: Complete office suite with PDF editor 978-620-8-41670-6: https://in.docworkspace.com/d/sIPnx_cdX9o7pwwY?sa=601.1074 Open in APP: https://s.wps.com/i8LWDJW1aqax
• Book Chapter: NBA Implications Across Engineering Disciplines for Driving Social Changes in India in IGI Global, Scopus Indexed 2024 https://www.igi-global.com/book/social-innovations-education-environment-healthcare/333477
• Paper Publications Survey on Unicast, Multicast, and Broadcast Routing Techniques in Vehicular Ad-Hoc Networks - Present and Future, British Journal of Mathematics and Computer Science, December 2015
Graph Theory-based Consistent Routing Protocol for Inter-Vehicular Communication in VANETS, Fundamental Journal of Mathematics and Mathematical Sciences, August 2016
An Algorithm to Find the Directed Minimum Spanning Trees e-ISSN: 2347 — 2693 International Journal of Computer Sciences and Engineering e-mail: ijcse.submission@gmail.com | editor@ijcseonline.org website www.ijcseonline.org | Mobile no: +91-99-77-55-24-34
A consistent routing protocol based on graph theory for efficient vehicle-to-vehicle communication. The Paper will be available online on 5 January 2019 in the IJCSE Current issue. digital certificate @ http://www.ijcseonline.org/digital_certificate.php For publication @ http://www.ijcseonline.org/current_issue.php IJCSE Digital Library: http://www.ijcseonline.org/ijcse_search.php
Capacity Analysis based on Graph Theory for VANETs Paper Code: 62259 Global Journal of Pure and Applied Mathematics (GJPAM) Research India Publications Website: www.ripublication.com
NBA Implications Across Engineering Disciplines for Driving Social Changes in India in IGI Global, Scopus Indexed 2024 https://www.igi-global.com/book/social-innovations-education-environment-healthcare/333477 Signless Laplacian Minimum Double Dominating Energy of Standard Graphs: Analysis and Bounds. Accepted for publication in IGI Global, Scopus Indexed

Asteroidal Triple Free Graphs, Sarah Tucker College, Tirunelveli
A consistent routing protocol based on graph theory for efficient vehicle-to-vehicle communication. The Paper will be available online on 5 January 2019 in the IJCSE Current issue. digital certificate @ http://www.ijcseonline.org/digital_certificate.php For publication @ http://www.ijcseonline.org/current_issue.php IJCSE digital Library: http://www.ijcseonline.org/ijcse_search.php
Signless Laplacian Minimum Double Dominating Energy of a Graph” in International Conference on Advancements in Science and Technology and Management (ICASTM) 2024, Organised by Department of Computer Science, St. Xavier's College of Management& Technology, Patna, Bihar, on 25/4/24 and 26/4/24

Mathematical Analysis and Applications
Maharani Lakshmi Ammani College for Women
Januray 2008
Attended an International conference on "Emerging trends in Higher Education -A Global perspective : Concerns and Challenges in Environmental Sustainability , Entrepreneurship and Cinema "(ICEEC)
Jyoti Nivas College Autonomous
August 2008
Attended 1st National Conference on 'Emerging trends in Fluid Mechanics and Graph Theory'.
Department of Mathematics Christ University.
February 2010
2nd National Conference on :'Emerging trends in Fluid Mechanics and Graph Theory'.
Department of Mathematics Christ University.
February 2011
A National conference on 'MathematicalModeling: A Socio Scientific Approach'.
Tumkur University and Karnataka Higher Education Council
November 2011
UGC Sponsored workshop on Mathematical Modelling Applied to Physical and Natural Sciences
MES Degree College
July 2012
State Level Science Seminar 'Building Blocks of the Universe from the finite to the infinite'
Jyoti Nivas College
February 2013
UGC Sponsored International Conference 'Entrepreneurship, Innovation and Inclusiveness - A strategic Paradigm
Jyoti Nivas College
September 2014
UGC sponosored National Level Quality Improvement Programme 'Energy - The key to transform Teaching Dynamics
Jyoti Nivas College, Post Graduate Centre
November 2014
UGC Sponsored State Level conference on Euthanasia 'Kill the pain, Not the Patient'
Jyoti Nivas College
January 2015
Participated in International Webinar on “Mathematical Models in Machine Learning and Electric Cars and the future of Transportation” Organized by the department of Mathematics, Jyoti Nivas College, 18 June, 2020.
Participated in the seven-day National Online faculty development programme, Pedagogy and Learning: Mapping New Approaches, organized by the Internal Quality Assurance Cell (IQAC), Jyoti Nivas College Autonomous from 3 to 9 January 2022.
Participated in a three-day online faculty development program “Innovation in Mathematics and Usage of Modern Tools” from 22 to 24 December 2021 organized by the Department of Mathematics, Sir M V I T. Bengaluru.
Participated in the virtual workshop/ FDP for three days on Google forms- Creation, Utilization and Certificate Insertion, organized by Department of UG, PG studies and held from 17th to 19th February 2022.
Organized and participated an International workshop on International Webinar on "Becoming future - Ready" held on August 30, 2021

Attended Mathematical Analysis and Applications, Maharani Lakshmi Ammani College for Women, Januray 2008
Attended an International conference on "Emerging trends in Higher Education -A Global perspective : Concerns and Challenges in Environmental Sustainability , Entrepreneurship and Cinema "(ICEEC), Jyoti Nivas College Autonomous August 2008
Attended 1st National Conference on 'Emerging trends in Fluid Mechanics and Graph Theory'. Department of Mathematics Christ University. February 2010
2nd National Conference on :'Emerging trends in Fluid Mechanics and Graph Theory'.Department of Mathematics Christ University. February 2011
A National conference on 'MathematicalModeling: A Socio Scientific Approach'. Tumkur University and Karnataka Higher Education Council November 2011
UGC Sponsored workshop on Mathematical Modelling Applied to Physical and Natural Sciences, MES Degree College , July 2012
State Level Science Seminar 'Building Blocks of the Universe from the finite to the infinite, Jyoti Nivas College February 2013
UGC Sponsored International Conference 'Entrepreneurship, Innovation and Inclusiveness - A strategic Paradigm, Jyoti Nivas College, September 2014
UGC sponosored National Level Quality Improvement Programme 'Energy - The key to transform Teaching Dynamics, Jyoti Nivas College, Post Graduate Centre, November 2014
UGC Sponsored State Level conference on Euthanasia 'Kill the pain, Not the Patient' Jyoti Nivas College, January 2015
Participated in International Webinar on “Mathematical Models in Machine Learning and Electric Cars and the future of Transportation” Organized by the department of Mathematics, Jyoti Nivas College, 18 June, 2020.
Participated in the seven-day National Online faculty development programme, Pedagogy and Learning: Mapping New Approaches, organized by the Internal Quality Assurance Cell (IQAC), Jyoti Nivas College Autonomous from 3 to 9 January 2022.
Participated in a three-day online faculty development program “Innovation in Mathematics and Usage of Modern Tools” from 22 to 24 December 2021 organized by the Department of Mathematics, Sir M V I T. Bengaluru.
Participated in the virtual workshop/ FDP for three days on Google forms- Creation, Utilization and Certificate Insertion, organized by Department of UG, PG studies and held from 17th to 19th February 2022.
Organized and participated an International workshop on International Webinar on "Becoming future - Ready" held on August 30, 2021)
Participated in Management Development Programme on Constructivist Leadership For Academic Leaders , Christ University from 5-7 March 2024
Attended a Skill Training Workshop on ‘AI Tools and Advanced Excel for Enhancing Paper Writing and Project Report” organised by Vidhya Vihar Institute of Technology , Purnea, Bihar on 25/05/24

University Rank Holder B.Sc Mathematics, M S University, Tirunelveli
University Rank Holder M.Sc Mathematics, M S University, Tirunelveli

Board of Examiners in CMR College of Technology, Bangalore
Item Writer in Commission on General Intelligence and Reasoning, Government of India.
Question paper setter for St Joseph’s College, Bangalore
One of the Panel Members at St Philomena’s College, Mysuru (to select the UGC staff)
BOS Member of St Philomena’s College, Mysuru

Online Course

Agency

Month and Year

AI Tools and Advanced Excel for Enhancing Paper Writing and Project Report

Vidhya Vihar Institute of Technology, Purnea, Bihar

05/24

Mathematical Models in Machine Learning and Electric Cars and the future of Transportation

Department of Mathematics, Jyoti Nivas College

June 2020

UGC Sponsored workshop on Mathematical Modelling Applied to Physical and Natural Sciences

MES Degree College

July 2012

A National conference on 'Mathematical Modeling: A Socio Scientific Approach'

Tumkur University and Karnataka Higher Education Council

November 2011

Emerging trends in Fluid Mechanics and Graph Theory

Department of Mathematics Christ University

February 2010

Mathematical Analysis and Applications

Maharani Lakshmi Ammani College for Women

January 2008

FDP

Agency

Month and Year

Management Development Programme on Constructivist Leadership For Academic   Leaders

Christ University

March 2024

International workshop on International Webinar on "Becoming future - Ready"

Dept. of Mathematics, Jyoti Nivas College

August 2021

Google forms- Creation, Utilization and Certificate Insertion

Department of UG, PG studies, Jyoti Nivas College

February 2022

Innovation in Mathematics and Usage of Modern Tools

Department of Mathematics, Sir M V I T. Bengaluru

December 2021

Pedagogy and Learning: Mapping New Approaches

Internal Quality Assurance Cell (IQAC), Jyoti Nivas College Autonomous

January 2022

UGC Sponsored State Level conference on Euthanasia 'Kill the pain, Not the Patient'

Jyoti Nivas College

January 2015

UGC sponsored National Level Quality Improvement Programme 'Energy - The key to transform Teaching Dynamics

Jyoti Nivas College, Post Graduate Centre

November 2014

UGC Sponsored International Conference 'Entrepreneurship, Innovation and Inclusiveness- A strategic Paradigm

Jyoti Nivas College

September 2014

State Level Science Seminar 'Building Blocks of the Universe from the finite to the infinite’

Jyoti Nivas College

February 2013

International conference on "Emerging trends in Higher Education -A Global perspective: Concerns and Challenges in Environmental Sustainability, Entrepreneurship and Cinema "(ICEEC)

Jyoti Nivas College

August 2008

Guided a 2nd M.Sc mathematics student Vidya R. as co-PI to complete her project on Mathematical modelling & Simulation (Acoustic Gravity Wave Propagation in Ionosphere & Atmosphere, CSIR-4PI)

Lecturer, Dept. of Mathematics, St. Anne’s First Grade College for Women, Millers Road, Bangalore. (1997- 2005)
Assistant Professor, Department of Mathematics, Jyoti Nivas College Autonomous, Bangalore (2007- till date).

Department Level:
PG Co-ordinator for M.Sc. Mathematics
Student Mentor: Guiding students intellectually and emotionally.
College Level:
Dean of Physical Sciences
Exam committee (2013- 2024)
Admission committee: (2017 – 2021)
Club / Association: Member of AICUF (2006 – 2020).
Co-ordinator of AICUF (2021- 2025)