Seminar Themes¶
Course A: Complex Analysis and Geometry¶
Möbius transformations, conformal maps, hyperbolic geometry, Riemann surfaces, and an introduction to Teichmüller theory.
Course B: Shape, Motion, and Optimization¶
Rotations, rigid motions, quaternions, curves and surfaces, least squares, constrained optimization, and geometric applications.
Possible background¶
- Linear algebra
- Calculus and multivariable calculus
- Ordinary differential equations
- Complex analysis
- Basic differential geometry