- 432 McAllister Building
- Office Hours: TR 2:00 PM - 3:00 PM
- Email: vinhage@math.psu.edu OR kwv104@psu.edu

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!

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

Fall 2011 - MATH018(2) - Elementary Linear Algebra

- Dynamics and its Working Tools
- Center for Dynamics and Geometry Seminar
- Dynamical Systems Student Seminar

- Wolfram Alpha - Computational Knowledge "Search" Engine
- Detexify
- Jacob Turner
- Adam Karnik
- PSU Mathematics

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 |
Sixth 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!