Graduate studies in applied mathematics (AM) at UC Santa Cruz focus on developing skillsets in mathematical modeling, analysis, and scientific computation applied to a broad range of science and engineering disciplines, including fluid mechanics, high-performance computing, mathematical biology, dynamical systems, stochastic processes, control, optimization, and scientific machine learning. The overarching goal of the AM graduate programs at UC Santa Cruz is to underscore the application of mathematics in solving real-life problems. In particular, the doctor of philosophy (Ph.D.) program prepares the students with the foundational analytical and numerical tools of applied mathematics, enabling them to perform independent research that transcends the disciplinary boundaries in science and engineering.