Convex geometry and combinatorial optimisation form a vibrant nexus of research that bridges theoretical mathematics with practical algorithm design. The study of convex sets and their structural ...

Great progress has been made in the past few years in our understanding of nonconvex optimizations. In this talk, I will share with you three of our works in this direction. In one, we study low-rank ...

For decades, computer-aided design (CAD) has been the cornerstone of modern engineering. Yet much of the workflow still relies on manual repetition, rigid processes and human interpretation. Engineers ...