Geometry

Strong Convex Relaxations and Tailored Conic Solvers with Applications in Robotics featured image

Strong Convex Relaxations and Tailored Conic Solvers with Applications in Robotics

My MIT EECS dissertation on strong convex relaxations, tailored conic solvers, and scalable optimization methods for robotics.

Certifying Trajectories in Seconds featured image

Certifying Trajectories in Seconds

Formally verifying the safety of complicated trajectories at scale.

Certified Polyhedral Descriptions of Configuration Space featured image

Certified Polyhedral Descriptions of Configuration Space

Provably correct descriptions of Configuration Space for collision-free motion planning