Department of Mathematics

• Idhayam Rajendran Residential Hr. Sec. School (ICSE Syllabus) - PG Assistant - 2005 to 2007
• Sermathai Vasan College for Women, Madurai - Lecturer - June 2007 to Oct 2008
• Madurai Institute of Engineering and Technology, Sivagangai District - June 2011 to Aug 2012
• Sethu Institute of Technology, Virudhunagar District - Associate Professor - Oct 2008 to May 2011 & Feb 2013 to July 2018
• Senthamarai College of Arts and Science, Madurai - Assistant Professor & HOD - Dec 2018 to May 2019
• Thiagarajar College, Madurai - Assistant Professor - June 2019 to till date

GUEST LECTURES DELIVERED:

• Be a RESOURCE PERSON and delivered Guest Lecture under the topic “Recent Trends in Applications of Mathematics” at Vivekananda College of Arts and Science for women, Thiruchengode, Namakkal District on 18th February 2021.
• Be a RESOURCE PERSON and delivered Guest Lecture under the topic “Walk of Life after Mathematics” at Sermathai Vasan college for women, Madurai on 13th September 2019.
• Be a CHIEF GUEST for Ramanujan’s Day celebration and delivered Guest Lecture under the topic “Facts about Maths” at Mangayarkarasi College of Arts and Science, Madurai on 21st December 2018. 
• Be a RESOURCE PERSON and delivered Guest Lecture under the topic “Mathematics in Real Life” at Sermathai Vasan college for women, Madurai on February 2013.

NPTEL ONLINE CERTIFICATION :

Successfully completed online NPTEL course in

• “Introduction to Probability and Statistics” conducted by Indian Institute of Technology Madras, on MARCH 2023 with ELITE certificate
• “Mathematical Methods for boundary value problems” conducted by Indian Institute of Technology Kharagpur, on AUGUST 2019 with ELITE certificate.
• “Numerical Methods: Finite Difference Approach” conducted by Indian Institute of Technology Roorkee, on APRIL 2018.

ACHIEVEMENTS:

• Received APPRECIATION AWARD for Research Article publications in 2022, 2023 and 2024 at Thiagarajar College
• Received FACULTY PERFORMANCE APPRAISAL – APPRECIATION AWARD 2018 in Sethu Institute of Technology
• Won BEST PROJECT AWARD in “FACULTY TALENT HUNT 2015” organized by Research and Development Innovation Cell of Sethu Institute of Technology
• Secured UNIVERSITY VII rank in Certificate of Gandhian Thought during March 2008 
• Secured COLLEGE II rank in B.Sc., (Mathematics)

POSITIONS HELD :

• Coordinator of PG & Research Department of Mathematics (Self Finance Stream) in Thiagarajar College, from November 2021.
• Empaneled as an Academic Counselor by IGNOU from Nov 2025
• Organizing Committee Member of SANGAMAM program in Thiagarajar College from 2022 to 2025.
• Committee Member for submission of data for ATAL ranking 2022 to 2025 in Thiagarajar College.
• Committee Member for submission of data for NIRF ranking 2024 & 2025 in Thiagarajar College
• Research Oriented Lecture Series (ROLS) Coordinator in Thiagarajar College from June 2019 to May 2020.
• NAAC Criteria III Coordinator in Department of Mathematics (Self Finance), Thiagarajar College. 
• Organized a Special Lecture program on DYNAMICAL BEHAVIOUR OF CONTROL SYSTEMS in Thiagarajar College on 29.10.2021
• Celebrated RAMANUJAN DAY on 22nd December 2021 (Wednesday) to memorialize the birth anniversary of Shri. Srinivasa Ramanujan
• Organized an International Webinar on APPLIED MATHEMATICS on 19.04.2022 (Tuesday) and 20.04.2022 (Wednesday)
• Organized a Faculty Development Program on ARTIFICIAL INTELLIGENCE AND MACHINE LEARNING on 22.01.2025
• Organized a Program for Girls on SHATTERING STIGMAS: UNLEASHING HER POTENTIAL on 29.08.2025
• Board of Studies (BOS) Coordinator in Department of Mathematics of Sethu Institute of Technology from May 2013 to July 2018.
• First Year Mathematics Coordinator (both I and II semesters) in Sethu Institute of Technology from May 2013 to July 2018. 
• ISO, NBA and NAAC Coordinator in Department of Mathematics of Sethu Institute of Technology from May 2013 to July 2018.

KEY SKILLS:

• Prepared COURSE MATERIAL based on REPEATED UNIVERSITY QUESTIONS for Engineering Mathematics I & II, Transforms & PDE, Numerical Methods, Probability & Queueing Theory, Discrete Mathematics, Statistics & Numerical Methods.
• Ability to explain complicated mathematical concepts in an easily understandable manner.
• Maintaining a focused and well-disciplined learning environment, ensuring maximum efficiency and results.
• Quickly developing an excellent rapport with students, staff members and parents to produce a friendly and supportive environment. 

• Produced (i)  100% result in Engineering Mathematics I & II, Numerical Methods, Theory of Computation, Abstract Algebra, Operation Research, Differential Equations. 

                  (ii) above 95% result in Transforms & PDE, Discrete Mathematics, Statistics & Numerical Methods, Probability & Queueing Theory, Probability & Random Processes.

RESEARCH ARTICLES PUBLISHED IN JOURNALS :

1. Tuijin Jishu/Journal of Propulsion Technology on “Impact of Connected spaces of Neutrosophic Generalized Topology across various disciplines”, Volume 45, (2024), Pages 4944-4955, ISSN : 1001-4055.
2. Ratio Mathematica on “Weaker Forms of Nano Irresolute and Its Contra Functions”, Volume 43, (2022), Pages 64 – 73, doi : 10.23755/rm.v43i0.764, ISSN : 1592-7415, eISSN: 2282-8214.
3. Periodico di Mineralogia on “Contra GN-Continuity in Neutrosophic Generalized Topological Spaces”, Volume 91, Issue 5 (2022) Pages 846 – 861, ISSN : 0369-8963, 2239-1002.
4. Neutrosophic Sets and Systems on “Irresolute and its Contra Functions in Generalized Neutrosophic Topological Spaces”, Volume 51, (2022) Pages 123 – 133, doi : 10.5281/zenodo.7135261, ISSN : 2331-6055, eISSN: 2331-608X.
5. Ratio Mathematica on “Contra Nα-I-Continuity Over Nano Ideals”, Volume 41, (2021), Pages 283 – 290, doi : 10.23755/rm.v41i0.651, ISSN : 1592-7415, eISSN: 2282-8214.  
6. Journal of Information and Computational Science on “A study of almost contra (b, µ)-Continuous Functions in Generalized Topological Spaces”, Volume 9 Issue 9 (2019), Pages 187 – 199, ISSN : 1548–7741.
7. International Journal of Current Advanced Research on “A Study of (b, µ)-continuity, slightly (b, µ)-continuity and its relationships” in Generalized Topology, Volume 7 Issue 3 (2018), Pages 10773-10778, ISSN : O : 2319-6475, ISSN : P : 2319-6505.
8. International Science and Technology Journal on “Characterization of almost (α, µ)-Continuous Functions and its properties” in Generalized Topology, Volume 7 Issue 3 (2018), Pages 67-74, ISSN : 1632–2882.
9. International Journal of Mathematics and its Applications on “ *-A*I-sets and Decompositions of *-A*I-continuity” in Ideal Minimal Topology, Volume 3 Issue 2 (2015), Pages 115-120, ISSN : 2347–1557.
10. Italian Journal of Pure and Applied Mathematics on “αA∗ I-sets, αCI-sets, αC∗ I-sets and decompositions of α-I-continuity” in Ideal Minimal Topology, Issue 35 (2015), Pages 129-142, ISSN : 1126-8042.
11. Journal of Advanced Research in Scientific Computing on “On Generalized Topological Quotient Functions” in Generalized Topology, Volume 6 Issue 1 (2014), Pages 54-63, ISSN : 1943–2364.
12. Journal of New Results in Science on “Weakly Iπg-closed sets” in Ideal Minimal Topology, Issue 4 (2014), Pages 22-32, ISSN: 1304-7981.
13. Journal of New Results in Science on “Mildly *-Normal spaces and some functions” in Ideal Minimal Topology, Issue 2 (2013), Pages 92-103, ISSN: 1304-7981.
14. International Journal of Mathematical Archive on “M-Continuity and its decompositions” in Minimal Topology, Volume 3 Issue 2 (2012), Pages 1-8, ISSN : 2229–5046.
15. International Journal of Advances in Pure and Applied Mathematics on “Ideal Minimal Quotient Functions” in Ideal Minimal Topology, Volume 1 Issue 4 (2011), Pages 1-16.
16. International Journal of Advances in Pure and Applied Mathematics on “On m*-operfect sets and a-m*-closed sets” in Ideal Minimal Topology, Volume 1 Issue 2 (2011), Pages 81-95.

BOOK CHAPTER PUBLISHED:

1) Topic                      : A Viewpoint for Making Decisions via Compact Spaces in Neutrosophic  Generalized Topology

Published Date          : Sep, 2024

LCCN                          : 2024007204 (print) ; 2024007205 (ebook) 

ISBN                           : 9798369320853 (hardcover) ; 9798369320860 (ebook)

Pages                          : 227-306

Doi                              : 10.4018/979-8-3693-2085-3.ch009

Book Title                  : Multi-Criteria Decision Making Models and Techniques: Neutrosophic Approaches

Publisher                    : IGI Global: International Academic Publisher (SCOPUS)

2)  Topic                   : Significance and Applications of Neutrosophic Generalized Feebly Connected Topology in Diverse Realms

Authors                      : P. Santhi, A.Yuvarani,  S. Vijaya

Published Date          : June, 2025

LCCN                        : 2024053002 (print)  

LCCN                        : 2024053003 (ebook) 

ISBN                           : 9798369332047 (hardcover) 

ISBN                           : 9798369350188 (paperback)

EISBN                        : 9798369332054 (ebook)

Pages                          : 61-98

Doi                              : 10.4018/979-8-3693-3204-7.ch004

Book Title                  : Neutrosophic and Plithogenic Inventory Models for Applied Mathematics

Publisher                    : IGI Global: International Academic Publisher (SCOPUS)

PAPERS PRESENTED:

i)          Title                 :  International Conference on Recent Advances in Fuzzy Mathematics and  its Applications 

            Duration          :  1 day

            Venue              : A.D.M College for Women (Autonomous), Nagapattinam

            Date                :  Mar 14, 2025

            Topic               :  Optimized Decision-Making in Real-Life Scenarios: An Innovative Approach using Picture Fuzzy N-Soft                                         Expert Sets

ii)         Title                 :  National Conference on Emerging Trends in Pure and Applied Mathematics 

            Duration          :  1 day

            Venue              : G. Venkatasamy Naidu College (Autonomous), Kovilpatti

            Date                :  Mar 11, 2024

            Topic               :  Neutrosophic Statistical Analysis for Decision Making in Neoteric Scenarios

iii)        Title                 :  National Conference on Recent Development in Mathematics and its Applications 

            Duration          : 1 day

            Venue              : Madura College, Madurai

            Date                :  Jan 9, 2015

            Topic               :  On Almost contra (b, m)-Continuous Functions

iv)        Title                 :  International conference on Mathematical Computation and Modelling

            Duration          : 1 day

            Venue              : Madura College, Madurai

            Date                :  Jan 6, 2014

            Topic               :  On Almost (a, m)-Continuous Functions

v)         Title                 :  National Seminar on Algebra, Topology and Their Applications

            Duration          : 2 days

            Venue              : Ayya Nadar Janaki Ammal College, Sivakasi

            Date                :  March 11 – 12, 2013

            Topic               :  On Generalized Topological Quotient Functions

Books Published

                               Authors                                                Title of the Book                         Publisher                  Month & Year

• Dr. S. Vijaya and Faculties of Mathematics, SIT : Engineering Mathematics - I : SCM Publishers, India : Sep 2015 & Sep 2017
• Dr. S. Vijaya and Faculties of Mathematics, SIT : Engineering Mathematics - II : SCM Publishers, India : Feb 2016 & Feb 2017

• Indian Society of Technical Education (ISTE) Member – No. 74768.