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Course Descriptions

16:640:534 - Select Topics Geometry I

Feng Luo

Subtitle:

Topics in Geometry

Text:

None

Prerequisites:

Complex Analysis, Basic Geometry

Description:

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 this course, please see our Teaching Schedule Page

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Department of Mathematics

Department of Mathematics
Rutgers University
Hill Center - Busch Campus
110 Frelinghuysen Road
Piscataway, NJ 08854-8019, USA

Phone: +1.848.445.2390
Fax: +1.732.445.5530