This research investigates geometric surfaces with prescribed mean curvature, inspired by the physics of bubbles. By constructing new mathematical surfaces from spheres and unduloids, it explores how curvature changes under motion, providing new insights into differential geometry and the mathematics that precisely describes physical phenomena.

This talk reframes mathematics as a creative, pattern-based discipline rather than rote calculation. Through research in topology and prison education initiatives, it highlights math’s role in fostering curiosity, resilience, and critical thinking. The speaker argues that mathematical thinking benefits everyone, promoting perseverance and empathy beyond academic or professional contexts.

This research uses differential equations to model how people move between law-abiding life, crime, and incarceration. By simulating rehabilitation, overcrowding, and policy changes, the work shows how prisons can sometimes produce crime—and how evidence-based mathematical models can guide smarter decisions that reduce crime and build safer communities.