Typical Courses Taught by Robert Bryant

1. MATH 123S, GEOMETRY

2. MATH 267, DIFFERENTIAL GEOMETRY

3. MATH 268, Topics in DIFFERENTIAL GEOMETRY: Symplectic Geometry

   The first third of the course is devoted to 'classical' symplectic geometry: Lagrangians, Legendre transformations, Hamiltonians, symplectic manifolds and the Darboux-Weinstein theorem, symmetries and conservation laws and the Arnold- Liouville theorem, momentum mappings, reduction, and convexity. The second third of the course is devoted to developing elliptic methods: pseudo-holomorphic curves, Gromov compactness and moduli, applications to packing and (non)-squeezing theorems, etc. The final third covers related topics and recent developments, such as relations with toric varieties, representation theory, or other topics that depend on the interests of the class.