SMC

Mathematics

Mathematics Research Centre

Mathematics is an amazing and beautiful intellectual creation, one of the human race's deepest endeavors. The world around us, and the future world we are creating, is woven through with mathematics. Mathematics is full of mind-bending concepts and the mathematics department at St.Mary’s is a place to learn about and investigate these ideas.

The Mathematics Research Centre runs an extensive programme of research activities in mathematics. The centre for research was established in the year 2015 to nurture research talents. The centre aims at establishing a universal nature and legitimacy. Faculty members of the department have been actively involved in research activities. The department has two research supervisors and the research centre owns a research room with all necessary facilities.

St. Mary's Mathematics Research Forum 

St. Mary’s Mathematics Research Forum was inaugurated on 7 th July 2021. The forum is the first of its kind in Thoothukudi to mark the Platinum Jubilee of the Mathematics Department and is the bridge between the researchers and the research. The forum provides venue for the faculty and the research scholars to present their scholarly efforts and in which the campus celebrates the wealth of research across all fields of Mathematics carried out by the dedicated faculty and researchers across the nation. The forum contributes to the continuing professional development of the faculty in all contemporary fields and areas of research in Mathematics. By bringing the faculty together with scholars working in closely allied fields and providing a formal structure for their interaction. The aim of the forum is to impose the purpose of the research work among researchers and to help them understand what should be done and not be done in research.

Faculty Approved as Research Guides

Name of the Guide and Guideship No. Area of Specialisation No. of Scholars (Awarded) No. of Scholars (Ongoing)
Dr. A. Punitha Tharani
MSU/RES/INT/GUIDESHIP/R5/2010
Graph Theory and Topology 9 6
Dr. V.L. Stella Arputha Mary
MSU/RES/PH.D/GUIDESHIP/R1/2019
Graph Theory - 1
Dr. J. Arul Jesti
MSU/RES/Ph.D/Guideship /R1/2019
Topology 3 3
Dr. G. Priscilla Pacifica
MSU/RES/Ph.D/S.F./Guideship /R1/2019
Topology 3 3
Dr. P. Anbarasi Rodrigo
MSU/RES/SF/GUIDESHIP/R9/2018
Topology 3 4
Dr. C. Reena
MSU/RES/Ph.D/GUIDESHIP/2020
Topology - 4

Ph.D. Awarded

S.No. Name of the Supervisor Name of the Scholar Date of Commencement Reg. No. Title Date of Viva Voce
1Dr. A. Punitha TharaniMs. V. Uma Maheswari30.08.201919212212092008A Study on Symmetric Ideals in Algebra29.04.2024
2Dr. A. Punitha TharaniMs. A. Ferdina23.12.201819122212092006A Study on Detour Domination in Graphs22.12.2022
3Dr. A. Punitha TharaniMs. Sujitha. H21.12.201819122212092003A Study on Multiple Topological Space26.09.2022
4Dr. A. Punitha TharaniMs. A. Robina Tony06.03.201712519Edge Domination in Graphs21.02.2022
5Dr. A. Punitha TharaniMs. T. Delcia30.06.201612335Study on Topological Spaces06.03.2020
6Dr. A. Punitha TharaniMs. T. Selvi23.05.20118134A Study on Pre*-open Sets in Topological Spaces09.08.2018
7Dr. A. Punitha TharaniMs. G. Priscilla Pacifica07.05.201310584Studies on pg** - Closed Sets in Topological Spaces29.01.2018
8Dr. A. Punitha TharaniMs. Hari Siva Annam. G27.03.201310162A Study on αs∗- open Sets in Topological Spaces28.02.2017
9Dr. A. Punitha TharaniMs. M. Pauline Mary Helen05.04.20117346Studies on g**- Closed Sets in Topological Spaces16.02.2016
10Dr. V.L. Stella Arputha MaryS. Kavitha30.08.201919212212092007V4-Vertex Magic Graph Labeling23.01.2024
11Dr. J. Arul JestiMs. Heartlin28.08.201919212212092006Certain Investigations on a New Class of Closed Sets in Intuitionistic Topological Spaces16.10.2024
12Dr. J. Arul JestiMs. P. Suganya30.08.201919222212092015Some Characterization of New Class of Open Sets in Intuitionistic Topological Spaces03.10.2024
13 Dr. J. Arul Jesti Joycy Renuka. P 30.08.201919212212092014 Certain investigations on a new class of nearly open sets in ideal topological spaces 20.04.2025
14Dr. G. Priscilla PacificaMs. J. Jenit Ajitha30.08.201919222212092011A Study on Domination in Fuzzy Graphs30.11.2023
15Dr. G. Priscilla PacificaSr. K. Christy Rani07.03.202020122212092002A Study on Square Free Detour Number of Graphs22.11.2023
16Dr. G. Priscilla PacificaMs. S. Lourdu Elqueen28.08.201919212212092009A Study on Square Free Detour Distance in Graphs19.10.2023
17Dr. P. Anbarasi RodrigoK. Rajendra Suba24.12.201819122212092012Some Characterizations of a New Class of Soft ARS Closed Sets in Soft Topological Spaces28.02.2022
18Dr. P. Anbarasi RodrigoS. Anitha Ruth24.12.201819122212092001Some Characterizations of Soft Open Sets in Soft Topological Spaces20.03.2024
19Dr. P. Anbarasi RodrigoI. Sahaya Dani28.08.201919222212092010Some Characterizations on a New Class of Nano Closed Sets in Nano Topological Spaces29.05.2023

Ph.D. Scholar

S.No. Name of the Scholar Date of Commencement Topic Name of the Supervisor
1Ms. E. S. R. Francis Vijayarani21.12.2018Studies on Graph Labeling ProblemDr. A. Punitha Tharani
2Ms. H. R. Anesha30.12.2020Some distance related aspects using algebraic graph theoryDr. A. Punitha Tharani
3Ms. M. Mariya Evila29.01.2022A Study on Inverse CotolDr. A. Punitha Tharani
4Ms. P. Saradha31.01.2022Discrete Labeling of GraphsDr. A. Punitha Tharani
5Ms. S. Pratiksha31.01.2022Cardinal Labeling of GraphsDr. A. Punitha Tharani
6Ms. D. Joslin Amala28.11.2022Semitotal Domination in GraphsDr. A. Punitha Tharani
7Ms. J. Anuf Sarumathi18.10.2021A New Class of Closed Sets in Bitopological SpacesDr. V. L. Stella Arputha Mary
8Ms. F. Monisha07.03.2020Certain Investigations on Proximity Spaces in Topological SpacesDr. J. Arul Jesti
9Ms. V. Fanny Viyannika07.05.2024A Study on Intuitionistic Fuzzy Soft Topological SpacesDr. J. Arul Jesti
10Ms. S. Deepika08.05.2024A Study on Neutrosophic Soft Topological SpacesDr. J. Arul Jesti
11Ms. P. Manisha Rebecca16.07.2019Studies on Graph Theory in Human BodyDr. G. Priscilla Pacifica
12Ms. R. Anusuya06.05.2024Innovative Techniques on Skolem Difference Mean Labeling of GraphsDr. G. Priscilla Pacifica
13Ms. J. Rakavi07.05.2024A Comprehensive Study on Nano JR Sets in Nano Topological SpacesDr. G. Priscilla Pacifica
14S. Maheswari30.12.2020Some characterizations of a new class of nearly open sets in Micro TopologyDr. P. Anbarasi Rodrigo
15P. Subithra25.01.2022A study on a new class of closed sets in soft nano topological spacesDr. P. Anbarasi Rodrigo
16K. Selvakumari Prasha08.05.2023A new class of nearly open sets via neutrosophic soft setsDr. P. Anbarasi Rodrigo
17J. Charlet Jenisha07.05.2024A study on neutrosophic nano topological spacesDr. P. Anbarasi Rodrigo
18M. Kanaga08.10.2021Some Contributions to a New Class of Nearly Open Sets in Soft Topological SpacesDr. C. Reena
19M. Karthika09.10.2021Studies in Neutrosophic Topology: A New Class of Nearly Open Sets and its PropertiesDr. C. Reena
20K. S. Yaamini26.01.2022Certain Investigations on a New Class of Nearly Open Sets in Neutrosophic Topological SpacesDr. C. Reena