New Theorems in Geometry: 10 Powerful Research Insights
Introduction
The New Theorems in Geometry International Virtual Workshop was screened live by the PG and Research Department of Mathematics of Kamaraj College (Autonomous), Thoothukudi on 22 July 2026 at 02.30 p.m. IST in the Conference Hall, Administration Block.
The live screening was arranged for the benefit of postgraduate students, research scholars and faculty members. The programme provided valuable exposure to advanced mathematical research, contemporary developments in geometry and international academic collaboration.
International Collaboration
The international workshop was jointly organized by several academic institutions from India and Libya.
The collaborating institutions were:
- Wadi Alshati University, Libya
- University of Gharyan, Libya
- Nalut University, Libya
- Kamaraj College (Autonomous), Thoothukudi, India
- CEOA College of Arts and Science, Kariapatti, India
- Kamaraj Engineering College and Technology, Virudhunagar, India
This collaboration created a strong platform for students and faculty members to engage with international scholars and explore new directions in mathematical research.
Objectives of the Programme
The New Theorems in Geometry workshop was conducted to promote research-oriented learning among Mathematics students and scholars.
The major objectives of the programme were:
- To provide exposure to contemporary developments in geometry
- To introduce newly developed geometric concepts and theorems
- To encourage research-oriented thinking among students
- To promote international academic collaboration
- To help students understand advanced mathematical ideas
- To create an opportunity for interaction with expert scholars
- To motivate postgraduate students and research scholars towards innovative research
The programme helped participants understand the importance of global academic exchange in strengthening mathematical learning and research.
Keynote Speaker of the Workshop
The keynote address was delivered by Dr. M. Raja Climax, IRS, Founder Chairman of the CEOA Group of Institutions, Madurai. He is a renowned mathematician and researcher.
His lecture introduced participants to innovative geometric ideas and newly developed theorems. His expertise and research-based explanations added great academic value to the workshop.
The keynote session was highly useful for students, research scholars and faculty members interested in advanced geometry.
Keynote Lecture on Eight Points Circle
Dr. M. Raja Climax delivered the keynote lecture on the topic “Eight Points Circle, with Random Line through Centroid and Orthocentre.”
The lecture explained advanced geometric concepts connected with circles, centroid, orthocentre and newly developed theorems. The topic gave participants an opportunity to understand deeper relationships in geometry and appreciate the beauty of mathematical discovery.
The session helped students realize that geometry continues to offer new areas for research, exploration and proof-based learning.
Live Screening at Kamaraj College
As one of the joint organizing institutions, Kamaraj College (Autonomous), Thoothukudi, facilitated the live streaming of the workshop for its students and faculty members.
The students, research scholars and faculty members of the PG and Research Department of Mathematics observed the international virtual workshop at the Conference Hall, Administration Block. The live screening enabled them to participate in a global academic event from the college campus.
This arrangement reflected the department’s commitment to providing quality academic exposure to students.
Commencement of the Workshop
The workshop commenced with a welcome address, followed by felicitations from the international coordinators representing the collaborating institutions.
The opening session created a formal and academic atmosphere for the international workshop. It also highlighted the importance of academic cooperation between institutions from different countries.
The commencement of the programme emphasized the shared commitment of all collaborating institutions towards research, innovation and higher education.
Interactive Academic Discussion
The keynote session was followed by an interactive discussion. Participants actively engaged with the speaker by raising questions and exploring the practical significance of the newly presented geometric concepts.
The interaction helped students and scholars gain better clarity about the lecture topic. It also encouraged them to think critically and approach geometry from a research perspective.
The discussion made the programme more meaningful, engaging and academically enriching.
Exposure to Advanced Geometry
The New Theorems in Geometry workshop provided valuable exposure to advanced mathematical ideas. Students learned how new theorems are developed through observation, logical reasoning and mathematical proof.
The programme helped participants understand that geometry is not only a classical branch of mathematics but also an active area of modern research. The session encouraged students to explore mathematical concepts with curiosity and analytical thinking.
This exposure was especially useful for postgraduate students and research scholars.
Research-Oriented Learning
The workshop encouraged research-oriented thinking among the participants. The keynote lecture demonstrated how mathematical ideas can be extended, examined and developed into new theorems.
Students were motivated to approach mathematics with a questioning mind and a spirit of exploration. The programme also helped them understand the importance of proof, precision and creativity in mathematical research.
The session supported the development of academic interest and research confidence.
Participation of Students and Faculty Members
The students and faculty members of the PG and Research Department of Mathematics enthusiastically participated in the programme.
Their active involvement reflected their interest in advanced mathematical learning and international academic interaction. The programme gave them an opportunity to observe expert-level research discussion and gain knowledge from a renowned mathematician.
The participation made the live screening successful and impactful.
Benefits for Participants
The workshop provided several valuable benefits to the participants.
- Participants gained exposure to new theorems in geometry
- They learned about advanced concepts related to circles, centroid and orthocentre
- They understood the importance of research-oriented mathematical thinking
- They received international academic exposure through virtual collaboration
- They interacted with expert scholars and clarified their doubts
- They developed interest in innovative mathematical research
- They understood the value of global academic partnerships
These benefits helped students, research scholars and faculty members improve their academic understanding and research outlook.
Outcome of the Programme
The New Theorems in Geometry workshop was successfully conducted and proved to be an enriching international learning experience.
The major outcomes of the programme were:
- Enhanced understanding of modern geometric theories
- Exposure to newly developed theorems and innovative concepts
- Improved interest in research-based mathematical learning
- Strengthened international academic collaboration
- Active participation of students and faculty members
- Encouragement for postgraduate students and research scholars to pursue advanced studies
- Promotion of quality education and innovative research
The programme was informative, interactive and highly beneficial for all participants.
Remarks and Vote of Thanks
The programme concluded with remarks from the collaborating institutions and a formal Vote of Thanks.
Gratitude was expressed to the keynote speaker, international coordinators, collaborating institutions, faculty members, research scholars, students and all those who contributed to the successful conduct of the workshop.
The closing session brought the international virtual workshop to a graceful conclusion.
Conclusion
The live screening of the International Virtual Workshop on New Theorems in Geometry, organized by the PG and Research Department of Mathematics on 22 July 2026 at the Conference Hall, Administration Block, concluded successfully.
The keynote lecture by Dr. M. Raja Climax on “Eight Points Circle, with Random Line through Centroid and Orthocentre” provided valuable insights into advanced geometry and innovative mathematical research.
The programme significantly enhanced the participants’ understanding of modern geometric theories, encouraged research-oriented thinking and provided an excellent platform for international academic interaction. Overall, the event reflected the commitment of Kamaraj College to quality education, global collaboration, innovative research and holistic academic development.
Internal Link
Kamaraj College (Autonomous), Thoothukudi