Research

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My current research interests lie in differential geometry, specifically geometric flows and conformal geometry. In addition, I am interested in a number of topics appropriate for undergraduate research, including:
  • Taxicab Geometry
  • Origami
  • Euclidean Geometry
  • Voting Theory

Useful Reference Links

Publications

  • Short time existence for some higher order geometric flows (with Eric Bahuaud), Communications in Partial Differential Equations 36 (2011), no. 12
  • Boundary Regularity for Conformally Compact Einstein Metrics in Even Dimensions, Communications in Partial Differential Equations 33 (2008), no. 4--6, 842--880
  • Boundary Regularity for Conformally Compact Einstein Metrics in Even Dimensions, PhD Thesis, University of Washington (2005)

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