“The creation of mathematical/statistical models and the development of algorithms for computer simulation to obtain solutions of problems in industry is what we call industrial mathematics […] How does industrial mathematics differ from “applied mathematics”? First, you must travel to industry and talk to its scientists and engineers in order to identify their mathematical problems […] Mathematicians in industry are viewed as having highly developed skills in abstraction, analysis of underlying structures, and logical thinking; as having the best tools for formulating and solving problems. They are often viewed as consultants…”
—Avner Friedman, Pure, applied, and industrial mathematics: strength through connections. Lectures on Applied Mathematics (Munich, 1999), Springer, 2000, pp. 4–5.
My research on partial differential equations connects the stages of the chain from modeling to implementation in applied and industrial settings. The goal is to turn analytical insight into practical tools for prediction and decision-making. My work in this direction spans applied fluid dynamics, quantitative methods for finance, machine learning, and systems control.