Faculty Profile
Vivan T
Assistant Professor
MSc., PhD( Pursuing)
vivant.maths@bmsce.ac.in
Research Interests: Graph theory, Cryptography, Applied Mathematics.
My research interests focus on the rigorous development and application of discrete mathematical structures, graph theory, and linear algebra, with particular emphasis on graph labeling schemes and their algebraic and combinatorial properties. I am interested in investigating how spectral graph theory, matrix representations, and linear transformations can be leveraged to characterize complex networks and optimize structural invariants. These theoretical foundations naturally extend to cryptography and data security, where graph-based constructions, algebraic encodings, and discrete optimization techniques play a critical role in the design of secure communication protocols and resilient cryptographic primitives.
In parallel, I aim to explore interdisciplinary applications of these mathematical frameworks in fluid mechanics, where network models, discrete analogues of continuous flows, and linear algebraic methods can be employed to analyze flow dynamics, stability, and conservation properties. By integrating combinatorial graph models with algebraic and numerical techniques, I seek to develop unified methodologies that bridge abstract mathematical theory with practical problems in secure information systems and physical flow phenomena. Overall, my research aspires to advance both the theoretical foundations and applied relevance of discrete and algebraic methods across mathematics, cryptography, and continuum-inspired models.
About
Dynamic Mathematics professional with demonstrated ability to integrate modern pedagogical approaches with traditional mathematical theory, creating a dynamic and inclusive learning environment.Experienced in developing rigorous curriculum, strong analytical skills and proven track record of engaging students through active learning strategies, and conducting innovative research that addresses real-world challenges. Passionate about making the world of mathematics accessible and relevant to all students and striving to make meaningful contributions to the advancement of mathematical theory and its practical applications while nurturing the academic and professional growth of students under my mentorship.
Dedicated assistant professor with a strong work ethic and leveraging expertise in graph theory to tackle complex problems at the forefront of mathematical research. Seeking to inspire curiosity, instill confidence, and cultivate a lifelong passion for mathematics among students while making significant contributions to the scholarly community through impactful research endeavours. Resourceful educator with adaptable and approachable style.
Education
Selected Publications
Other Information
I was awarded the “Young Researcher Award 2022” by the Institute of Scholar, an organization registered under the Government of India and committed to connecting scholars since 2014.
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