The Ph.D. Programme in Mathematics offers advanced research opportunities in both theoretical and applied domains. It focuses on Theory of Computation, Formal Languages, and Automata Theory, exploring the mathematical foundations of computing. Scholars study computational models, algorithmic complexity, and formal systems underlying modern technologies. In the applied stream, research areas include Statistical Quality Control, Applied Statistics, Optimization, and Sampling Theory. This specialization emphasizes data analysis, process improvement, and decision-making through quantitative methods. The programme fosters analytical thinking, innovation, and interdisciplinary applications of mathematics. Students are trained in research methodology, modeling, and advanced mathematical tools. The curriculum encourages publishing in reputed journals and participation in conferences. Graduates can pursue careers in academia, research organizations, data science, and industry. Overall, the programme blends rigorous theory with practical applications, nurturing future mathematical researchers and innovators.