I research geometry and its applications to graphics, physics, and industrial applications. Much of my work has involved the design of geometry processing algorithms that exploit differential geometric structures in low dimensions—e.g., fiber bundles and their discretizations. Discrete geometric structures provide both a path towards computation and a means of understanding operations that are important in visual computing and physics. Yet many geometric structures have yet to be exploited in any practical application.

My research interests include low-dimensional discrete differential geometry and topology, discrete vector bundles, and variational problems for mappings from surfaces.

I am excited to be a part of Freeform as a senior research scientist, developing new geometric models and computational techniques for metal additive manufacturing. I received my PhD in applied mathematics from Caltech working with Ulrich Pinkall and Peter Schröder. Before that, I received my MSc in mathematics and BSc in computer science from Carnegie Mellon University, working with Keenan Crane and Dejan Slepčev.