Robert Short
  • Alumni



Broadly, I am interested in applying the tools of algebraic topology to real world problems.  The two subfields I am primarily interested in are topological data analysis and topological robotics.  In topological data analysis, I am particularly interested in topological properties of rips complexes as well as the application of discrete morse theory in the computation of persistent homology.  In topological robotics, I have worked on continuous motion planning algorithms as well as using cohomology and obstruction theory to determine the topological complexity of various spaces.  Currently, I am working with configuration spaces of polygons in Euclidean space in an attempt to get stronger upper and lower bounds on their topological complexity. 

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