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 7th 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.
Ph.D. Scholar
AIDED :
| Name of the Ph.D. Scholar | Date of Enrollment | Topic | Name of the Supervisor |
|---|---|---|---|
| Ms. E. S. R. Francis Vijayarani | 21.12. 2018 | Studies on Graph Labeling Problem | Dr. A. Punitha Tharani |
| Ms. H. R. Anesha | 30.12.2020 | Some distance related aspects using algebraic graph theory | Dr. A. Punitha Tharani |
| Ms. M. Mariya Evila | 29.01.2022 | A Study on Inverse Cotol | Dr. A. Punitha Tharani |
| Ms. P. Saradha | 31.01.2022 | Discrete Labeling of Graphs | Dr. A. Punitha Tharani |
| Ms. S. Pratiksha | 31.01.2022 | Cardinal Labeling of Graphs | Dr. A. Punitha Tharani |
| Ms. D. Joslin Amala | 28.11.2022 | Semitotal Domination in Graphs | Dr. A. Punitha Tharani |
| Ms. J. Anuf Sarumathi | 18.10.2021 | A New Class of Closed Sets in Bitopological Spaces | Dr. V. L. Stella Arputha Mary |
| Ms. F. Monisha | 07.03.2020 | Certain Investigations on Proximity Spaces in Topological Spaces | Dr. J. Arul Jesti |
| Ms. V. Fanny Viyannika | 07.05.2024 | A Study on Intuitionistic Fuzzy Soft Topological Spaces | Dr. J. Arul Jesti |
| Ms. S. Deepika | 08.05.2024 | A Study on Neutrosophic Soft Topological Spaces | Dr. J. Arul Jesti |
| Ms. P. Manisha Rebecca | 16.07.2019 | Studies on Graph Theory in Human Body | Dr. G. Priscilla Pacifica |
| Ms. R. Anusuya | 06.05.2024 | Innovative Techniques on Skolem Difference Mean Labeling of Graphs | Dr. G. Priscilla Pacifica |
| Ms. J. Rakavi | 07.05.2024 | A Comprehensive Study on Nano JR Sets in Nano Topological Spaces | Dr. G. Priscilla Pacifica |
SSC:
| Name of the Ph.D. Scholar | Date of Enrollment | Topic | Name of the Supervisor |
|---|---|---|---|
| S. Maheswari | 30.12.2020 | Some characterizations of a new class of nearly open sets in Micro Topology | P. Anbarasi Rodrigo |
| P. Subithra | 25.01.2022 | A study on a new class of closed sets in soft nano topological spaces | P. Anbarasi Rodrigo |
| K. Selvakumari Prasha | 08.05.2023 | A new class of nearly open sets via neutrosophic soft sets | P. Anbarasi Rodrigo |
| J. Charlet Jenisha | 07.05.2024 | A study on neutrosophic nano topological spaces | P. Anbarasi Rodrigo |
| M. Kanaga | 08.10.2021 | Some Contributions to a New Class of Nearly Open Sets in Soft Topological Spaces | C. Reena |
| M. Karthika | 09.10.2021 | Studies in Neutrosophic Topology: A New Class of Nearly Open Sets and its Properties | C. Reena |
| K. S. Yaamini | 26.01.2022 | Certain Investigations on a New Class of Nearly Open Sets in Neutrosophic Topological Spaces | C. Reena |
| P. Vijayalakshmi | 11.05.2023 | Studies in soft nano topology A new class of nearly open set and its characterizations | C. Reena |
Faculty Approved as Research Guides & Scholars
| Name of the Guide and Guideship No. | No. of Scholars (Awarded) | No. of Scholars (Submitted) | No. of Scholars (Ongoing) |
|---|---|---|---|
| Dr. A. Punitha Tharani MSU/RES/INT/GUIDESHIP/R5/2010 |
9 | - | 6 |
| Dr. V.L. Stella Arputha Mary MSU/RES/PH.D/GUIDESHIP/R1/2019 |
- | - | 1 |
| Dr. J. Arul Jesti MSU/RES/Ph.D/Guideship /R1/2019 |
2 | 1 | 3 |
| Dr. G. Priscilla Pacifica MSU/RES/Ph.D/S.F./Guideship /R1/2019 |
3 | - | 3 |
| Dr. P. Anbarasi Rodrigo MSU/RES/SF/GUIDESHIP/R9/2018 |
3 | - | 4 |
| Dr. C. Reena MSU/RES/Ph.D/GUIDESHIP/2020 |
- | - | 4 |
Ph.D. Awarded under the guidance of Dr.A.Punitha Tharani
| Name of the Scholars | Date of Commencement | Reg. No | Title | Date of Viva Voce |
|---|---|---|---|---|
| Ms. V. Uma Maheswari | 30.08.2019 | 19212212092008 | A Study on Symmetric Ideals in Algebra | 29.04.2024 |
| Ms. A. Ferdina | 23.12.2018 | 19122212092006 | A Study on Detour Domination in Graphs | 22.12.2022 |
| Ms. Sujitha. H | 21.12.2018 | 19122212092003 | A Study on Multiple Topological Space | 26.09.2022 |
| Ms. A. Robina Tony | 06.03.2017 | 12519 | Edge Domination in Graphs | 21.02.2022 |
| Ms. T. Delcia | 30.06.2016 | 12335 | Study on Topological Spaces | 06.03.2020 |
| Ms. T. Selvi | 23.05.2011 | 8134 | A study on Pre*-open sets in Topological Spaces | 09.08.2018 |
| Ms. G. Priscilla Pacifica | 07.05.2013 | 10584 | Studies on pg** - Closed Sets in Topological Spaces | 29.01.2018 |
| Ms. Hari Siva Annam. G | 27.03.2013 | 10162 | A study on αs∗- open sets in Topological spaces | 28.02.2017 |
| Ms. M. Pauline Mary Helen | 05.04.2011 | 7346 | Studies on g**- Closed Sets in Topological Spaces | 16.02.2016 |
Ph.D. Awarded under the guidance of Dr.V.L.Stella Arputha Mary
| Name of the Scholars | Date of Commencement | Reg. No | Title | Date of Viva Voce |
|---|---|---|---|---|
| S. Kavitha | 30.08.2019 | 19212212092007 | V4-Vertex Magic Graph Labeling | 23.01.2024 |
Ph.D. Awarded under the guidance of Dr.J.Arul Jesti
| Name of the Scholars | Date of Commencement | Reg. No | Title | Date of Viva Voce |
|---|---|---|---|---|
| Ms. Heartlin | 28.08.2019 | 19212212092006 | Certain Investigations on a New Class of Closed Sets in Intuitionistic Topological Spaces | 16.10.2024 |
| Ms. P. Suganya | 30.08.2019 | 19222212092015 | Some Characterization of New Class of Open Sets in Intuitionistic Topological Spaces | 03.10.2024 |
Ph.D. Awarded under the guidance of Dr.G.Priscilla Pacifica
| Name of the Scholars | Date of Commencement | Reg. No | Title | Date of Viva Voce |
|---|---|---|---|---|
| Ms. J. Jenit Ajitha | 30.08.2019 | 19222212092011 | A Study on Domination in Fuzzy Graphs | 30.11.2023 |
| Sr. K. Christy Rani | 07.03.2020 | 20122212092002 | A Study on Square Free Detour Number of Graphs | 22.11.2023 |
| Ms. S. Lourdu Elqueen | 28.08.2019 | 19212212092009 | A Study on Square Free Detour Distance in Graphs | 19.10.2023 |
Ph.D. Awarded under the guidance of Dr.P. Anbarasi Rodrigo
| Name of the Scholars | Date of Commencement | Reg. No | Title | Date of Viva Voce |
|---|---|---|---|---|
| K. Rajendra Suba | 24.12.2018 | 19122212092012 | Some Characterizations of a New Class of Soft ARS Closed Sets in Soft Topological Spaces | 28.02.2022 |
| S. Anitha Ruth | 24.12.2018 | 19122212092001 | Some Characterizations of Soft Open Sets in Soft Topological Spaces | 20.03.2024 |
| I. Sahaya Dani | 28.08.2019 | 19222212092010 | Some Characterizations on a New Class of Nano Closed Sets in Nano Topological Spaces | 29.05.2023 |