This research develops rigorous mathematical foundations for consensus-based optimization algorithms, where large groups of interacting particles collaboratively search for optimal solutions. Using mean-field theory and propagation of chaos, the work proves long-term stability and improves optimization methods for applications including robotics, aircraft design, and drug discovery under real-world constraints.

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.