The Legged AI Laboratory focuses on fundamental theory and methodology to advance the locomotion and manipulation capabilities of legged robots—machines that navigate the physical world using articulated limbs. Our research aims to develop principled mechanical designs and intelligent algorithms grounded in rigorous mathematics, drawing from control theory, numerical optimization, and machine learning. The lab was established in 2023 at the University of Wisconsin–Madison and transitioned to the Shanghai Innovation Institute (SII) in 2026.