Geometry: Differential & Algebraic

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Researchers at Duke use geometric methods to study:

  • the geometry and arithmetic of algebraic varieties;
  • the geometry of singularities;
  • general relativity and gravitational lensing
  • exterior differential systems;
  • the geometry of PDE and conservation laws;
  • geometric analysis and Lie groups;
  • modular forms;
  • control theory and Finsler geometry;
  • index theory;
  • symplectic and contact geometry