Elissa Ross

Elissa Ross

Postdoctoral Scholar
Worcester Polytechnic Institute
Department of Mathematical Sciences

405A Salisbury Laboratories
eross2 at wpi.edu

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

  1. Periodic-adapted assur graphs
    with Anthony Nixon, Brigitte Servatius and Walter Whiteley
  2. Detecting infinitesimal motions of periodic frameworks geometrically
    with Brigitte Servatius and Herman Servatius
  3. Aperiodic combinatorial zeolites in the plane

Publications

Papers

Periodic rigidity on a variable torus using inductive constructions,
with Anthony Nixon.
Submitted.
Inductive constructions for frameworks on a two-dimensional fixed torus,
In revision.
Geometric rigidity of graphs on the fixed torus,
with Brigitte Servatius and Herman Servatius.
Proceedings of the 24th Fall Workshop on Computational Geometry, 2014
The rigidity of periodic frameworks as graphs on a fixed torus,
Contributions to Discrete Mathematics, 9(1), 2014.
One brick at a time: a survey of inductive constructions in rigidity theory,
with Anthony Nixon.
Fields Communications Series, volume 70, "Rigidity and Symmetry," a volume edited by Robert Connelly, Asia Weiss and Walter Whiteley.
The rigidity of periodic body-bar frameworks on the three-dimensional fixed torus,
Phil. Trans. R. Soc. A 2014 372, 2013.
Swapping blocks and holes in spherical frameworks,
with Wendy Finbow-Singh and Walter Whiteley.
SIAM Journal on Discrete Mathematics, 26(1), 280 -- 304, 2012
Finite motions from periodic frameworks with added symmetry,
with Bernd Schulze and Walter Whiteley.
International Journal of Solids and Structures, 48, 1711 -- 1728, 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 survey paper on Conway's Tiling Groups
April 2004.
A survey paper on Spectral Graph Drawing
December 2004.

Teaching

In the Winter of 2014 I taught:

Other Projects

Too Cool For School Art and Science Exhibition, Harbourfront Centre, Toronto. (Winter 2011)
Art Meets Science, York University, Toronto. (October 2009)