Worcester Polytechnic Institute
Department of Mathematical Sciences
405A Salisbury Laboratories
eross2 at wpi.edu
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.
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.
Periodic-adapted 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
Periodic rigidity on a variable torus using inductive constructions,
with A. Nixon.
Inductive constructions for frameworks on a two-dimensional fixed torus,
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
The rigidity of periodic body-bar frameworks on the three-dimensional fixed torus,
Phil. Trans. R. Soc. A 2014 372, December 2013.
Swapping blocks and holes in spherical frameworks,
with Wendy Finbow-Singh 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.
Non-Local Growth of Penrose Tilings,
Masters thesis, University of British Columbia, October 2005.
A paper on Conway's Tiling Groups
A paper on Spectral Graph Drawing