Ari Stern’s research lies at the intersection of geometry, applied analysis, and computational mathematics.
Stern is interested in what he calls geometric numerical analysis: using geometry as a means to develop novel numerical methods and techniques to analyze them. The driving idea behind this work is the need for numerical methods for differential equations that are accurate globally, not just locally—and, in recent years, it has been shown that these global features have important (and often surprising) connections with modern geometry, particularly differential and symplectic geometry.
