About me
I am currently a postdoctoral scholar in the Department of Mathematical Sciences at Worcester Polytechnic Institute.
Previously, I was 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 is my CV, in case you want to know more.
Research Interests
I am working on describing a theory of rigidity for periodic frameworks. In other words, I am trying to understand the rigidity properties of graphs on tori. It is hoped that this might relate 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. I'm very interested in the idea and practice of interdisciplinarity.
Current Projects

Periodicadapted assur graphs
with Tony Nixon and Walter Whiteley

Detecting infinitesimal motions of periodic frameworks geometrically
with Brigitte Servatius and Herman Servatius

Aperiodic combinatorial zeolites in the plane
Publications
Papers

Periodic rigidity on a variable torus using inductive constructions,
with A. Nixon.
Submitted.

Inductive constructions for frameworks on a twodimensional fixed torus,
In revision.

The rigidity of periodic frameworks as graphs on a fixed torus,
To appear in Contributions to Discrete Mathematics.

One brick at a time: a survey of inductive constructions in rigidity theory,
with A. Nixon.
Fields Communications Series, volume 70,
"Rigidity and Symmetry," a volume edited by Robert Connelly, Asia Weiss and Walter
Whiteley.

The rigidity of periodic bodybar frameworks on the threedimensional fixed torus,
Phil. Trans. R. Soc. A 2014 372, December 2013.

Swapping blocks and holes in spherical frameworks,
with Wendy FinbowSingh and Walter Whiteley.
SIAM Journal on Discrete Mathematics, 26(1), 280  304 (Feb., 2012)

Finite motions from periodic frameworks with added symmetry,
with Bernd Schulze and Walter Whiteley.
International Journal of Solids and Structures, 48, 1711  1728 (Feb., 2011).
Theses and other projects

The Rigidity of Periodic Frameworks as Graphs on a Torus,
Ph.D. thesis, York University, May 2011.

NonLocal Growth of Penrose Tilings,
Masters thesis, University of British Columbia, October 2005.

A paper on Conway's Tiling Groups
April 2004.

A paper on Spectral Graph Drawing
December 2004.