My research is in Discrete Geometry.

Rigidity theory + Architectural geometry + Topological graph theory + Mathematical illustration

Research Summary

I am presently working on problems in architectural geometry. Previously my research focused on describing a theory of rigidity for periodic frameworks. This is loosely related to the study of zeolites.

I'm also interested in other problems in discrete geometry, tilings, topological graph theory, computational geometry, and problems with a discrete flavour that have applications to biology and crystallography. I'm very interested in the idea and practice of interdisciplinarity.

I currently hold an OCE TalentEdge postdoctoral fellowship with MESH Consultants Inc. Previously, I was a postdoctoral scholar in the Department of Mathematical Sciences at Worcester Polytechnic Institute. I was also a postdoctoral fellow at the Fields Institute in Toronto, in connection with the Thematic Program on Discrete Geometry and Applications.

I completed my PhD in mathematics at York University. I was working with Walter Whiteley in the area of discrete geometry, specifically rigidity theory.

I did my Masters degree at the University of British Columbia, where I worked with Bill Casselman. My thesis was about Penrose Tiles, but it was mostly about pictures.

Here are some other things

Current projects and less serious other stuff.

Penrose Zeolites

A non-periodic network of corner sharing triangles, based on the Penrose tiling.

The hendecahedron

Here is a light fixture based on packing space with the hendecahedron, an eleven-sided polyhedron.