School Seminars and Colloquia

Continued Fractions


by Professor Danny Calegari

Institution: California Institute of Technology in Pasadena
Date: Thu 18th August 2005
Time: 5:00 PM
Location: SWINBURNE UNIVERSITY, HAWTHORN CAMPUS, John Street, Hawthorn, Engineering Building, Fourth Floor, Lecture Theatre EN413

Abstract: Continued fractions are at the heart of one of the oldest mathematical
discoveries - the Euclidean algorithm for finding the greatest common
divisor of two numbers. Over the millenia, this mathematical gem has
revealed ever increasing numbers of beautiful facets, and can even be
found in a modern pinnacle of mathematical achievement - the Ending
Lamination Conjecture. We will discuss some of the highlights of this
story, which touches on Fibonacci, Gauss, and Hyperbolic Origami.

Danny was an undergraduate at Melbourne University. He did a PhD at the University of California, Berkeley, and went on to teach at Harvard before assuming his current role. His mathematical interests include geometry and dynamics, especially in low dimensions.

For More Information: For more information: Contact Alex Keay, email, phone 8344 1791