Kurt Vinhage

Welcome to Kurt Vinhage's website! Here you will find important information regarding teaching, current research activities, and a (reasonably) updated CV/Resume. Feel free to look around!

Teaching

Fall 2012 - MASS Program - An Introduction to Geometric Topology in Dynamical Systems

Fall 2011 - MATH018(2) - Elementary Linear Algebra

Research Interests

Dynamical Systems, Algebraic and Homogeneous actions, Higher-rank actions

Seminars Advisor: Anatole Katok

Fun Math Websites

CV/Resume


The following figures show how to realize a 2-adic odometer in a continuously differentiable dynamical system. They show the images of concentric circles under many iterates of a specific dynamical system. Nested twists are made, and an invariant Cantor set is twisted to produce the standard example of "elliptic" symbolic dynaimcs!

First Iterate
First Iterate
Sixth Iterate
Sixth Iterate
Twelfth Iterate
Twelfth Iterate

Below you'll find a Mathematica visualization you can manipulate. This shows a fundamental region of the modular surface in the Poincare disc model, and periodic horocycles on it. As you move the slider forward, the horocycles get longer, and eventually equidistribute!