16:640:534 - Select Topics Geometry I
Topics in Geometry
Complex Analysis, Basic Geometry
We will cover a wide range of topics in geometry. The main theme will be Riemann surfaces, Teichmuller spaces and hyperbolic structures. Discretization of Riemann surfaces and uniformization theorem will be introduced. Other related topics to be covered include: integral geometry, convexity, ergodicity, Cauchy rigidity theorem, Hadwiger theorem, Steiner’s theorem, Crofton formulae, circle packing and their rigidity, Steinitz realization theorem, Brunn-Minkowski inequality, billiards and geodesic flows.
This is intended to be a self-contained course for graduate and advanced undergraduate students.
Sections Taught This Semester:
For more information on instructors and sections for Fall 2017, please see our Fall 2017 Teaching Schedule Page
For more information on instructors and sections for this course for other semesters, please see our Teaching Schedule Page