Research interests:
- Nonassociative algebra
- Metrized commutative algebras
- Notions of partial and quantitative associativity
- Left-symmetric algebras (also known as pre-Lie or Vinberg algebras)
- 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 |