The analysis and partial differential equations faculty group focuses on advancing mathematical theories and their applications across various domains. We specialize in areas such as classical analysis, harmonic analysis, ergodic theory, topological dynamics, functional analysis, nonlinear partial differential equations and operator algebras. Our research also includes wavelet theory, stochastic analysis, mathematical physics, signal and image processing, and financial mathematics. We address real-world problems through mathematical modeling in fields like traffic flow, combustion, and bio-mathematics.