Research Interest of charlie beil

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Statement of Interest:


      I am working on a non-commutative version of singularity resolution for unirational varieties using quiver representations.  In terms of physics, I am working on a theory of Chan-Paton factors in a gauged linear sigma model, with a dual quiver gauge theory description.  
    My math coursework includes representation theory, algebraic geometry, homological algebra, and differential geometry, while my physics coursework includes string theory, quantum field theory, gauge theory, and general relativity.  My research is directed by Dave Morrison, David Berenstein, and James McKernan.