My research lies in mathematical logic—especially continuous and geometric logic—and partial differential equations, interconnected through analysis, topology, and category theory, with growing applications in data science and artificial intelligence. I also work on game-theoretic tools, including matching theory, Shapley value–based allocation, and their connections to large language models and information theory. I love to motivate the students to build a strong mathematical foundation making the mathematics enjoyable and comprehensible to them. I believe that teaching and research are equally important and commendatory to each other.