“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.
Partial differential equations are the mathematical foundation for understanding complex, real-world phenomena. My work spans fluid dynamics, nonlinear waves, quantitative methods for finance, machine learning, and systems control. The goal is to turn analytical insight into tangible impact. This mission is also advanced by the SIMAI Activity Group “SMART PDE”.