durgesh verma

I’m a CSIR NET qualified postgraduate mathematician with an Integrated M.Sc. from the Central University of Rajasthan, grounded in pure and applied mathematics. I specialize in Non-linear Dynamics and Fuzzy Set Theory, with a clear focus on modeling biological systems under uncertainty.

Through my 5-year Integrated M.Sc. curriculum, I built a rigorous foundation across Advanced Topology, Functional Analysis, Measure Theory, and Numerical Simulation. I bring an analytical style that blends theoretical depth with computation, so my work stays both mathematically sound and practically visualizable.

In my master’s thesis (2024–2025), I conducted a critical review and study of bifurcation in a prey–predator model with time delay and harvesting using fuzzy parameters. I applied fuzzy mathematical modeling to represent imprecise environmental growth and harvesting rates, and investigated Hopf bifurcations and stability switching within delay differential equations (DDEs).

I’ve developed numerical simulations in MATLAB to visualize population equilibria and authored my final scientific document in LaTeX, strengthening my research discipline from modeling to presentation. I also bring professional teaching support experience as a Subject Matter Expert at Chegg India, where I delivered high-accuracy university-level mathematical solutions—reinforcing my commitment to clarity, precision, and learner-focused communication.