Information

Research interests:

  • Nonassociative algebra
    • Metrized commutative algebras
    • Left-symmetric algebras (also known as pre-Lie or Vinbeg algebras)
    • Deformation quantization
  • Geometric structures
    • Flat real projective structures
    • Parabolic geometries
    • Geometric structures supported on symplectic and contact manifolds
    • Symplectic connections
  • Geometric analysis
    • Affine differential geometry of hypersurfaces
    • Partial differential equations of Monge-Ampere type

I am interested in directing doctoral theses in areas related to the above. Contact me by email if you would like to explore possibilities.

Education:

Ph.D. (Mathematics)   University of Washington    2003
M.Sc. (Mathematics)    University of Washington   2001
A.B. magna cum laude (Mathematics)    Harvard University   1996

About my name.