Discrete Geometric Mechanics:
At the intersection of Geometry, Physics, and Computation
I am interested in computing motion. If computers can predict how materials move and deform, they can help us to understand, predict, and manipulate the physical world. From flagellar propulsion to billowing hair, computing motion broadly impacts the arts, science and engineering.
My approach is to study the connection between physical and computational principles. For me, the bridge spanning this divide is geometry. The geometric interpretation of physical principles traces back over decades and indeed centuries, at least in a classical sense; but how this connection shapes computation is a question we are just beginning to understand. Our team is exploring this connection.
For now, you can browse my publications in two ways:
1. Check out my publications page at the Columbia University Computer Graphics Group.
2. Visit my Google Scholar profile.