Exploring groundbreaking theories, innovative methodologies, and transformative applications at the forefront of operator theory and applied mathematics.
Advancing spectral theory, fixed-point theorems, and functional analytic frameworks with deep impacts on evolution equations and real-world modeling.
Pioneering analytical and qualitative insights into classical and fractional PDEs shaping modern physics, biology, and engineering challenges.
Developing robust numerical methods, precision approximation theories, and scalable algorithms driving continuous and discrete system simulations.
Unlocking the complexities of turbulent flows, stability analysis, and multiscale phenomena through rigorous mathematical investigation.
Integrating machine learning foundations, neural network optimization, and operator-theoretic perspectives to innovate data science and AI.