In 1997, after 37 years as a member of the Brandeis Department of Mathematics, I retired to leave myself more time to work in the area of Mathematical Visualization and more specifically to continue the development of my Macintosh program 3DFilmstrip (now called 3DXplorMath). In the Fall of 2004, my wife, Chuulian Terng, resigned from Northeastern Univ. to accept a position in the mathematics department at UCI (where she holds the Advance Chair) and we have now moved permanently to Irvine. I am continuing to work on mathematical visualization and in particular I am cooperating with David Eck of Hobart and William Smith College, helping with the design of his Java port of 3DXplorMath, that will be called VMMfor The Virtual (or Visual) Mathematical Museum. However I have also partially "unretired" and I am now an Adjunct Professor of Mathematics at UCI, which means I will be teaching one or two courses per year.
Fall 2009
In the Fall Quarter of 2009 I will be teaching Math 218 (First Year Graduate Topology).
My long term research interests have been in the areas of:
My current research
In recent years I have been working on the theory of integrable, onedimensional wave equationsan area that is usually referred to as soliton mathematics. I wrote an expository article for the Bulletin of the AMS (October 1997 issue) called The Symmetries of Solitons.
3DXplorMath 
The Breather Pseudospherical Surface (Produced using 3DXplorMath) 
In recent years I have developed a strong interest in mathematical visualization, and one of my major ongoing projects is the development and continued improvement of a program called 3DXplorMath for the MacOS. This is a tool for aiding in the visualization of a wide variety of mathematical objects and processes. Based on what I have learned from my experience in writing this program, I wrote an essay called "The Visualization of Mathematics: Towards a Mathematical Exploratorium" that appeared in the June/July 1999 issue of the Notices of the American Mathematical Society. Here is a Gallery of visualizations that were produced using 3DXplorMath. 


45 Murasaki Street 
Department of Mathematics 
Irvine, CA 926174088 
103 MSTB UC Irvine 
Mobile: 949 468 7102 
Irvine, CA 926973875 

Voice: 949 824 3151 

Fax: 949 824 7993 
Click here to send me email at palais@uci.edu
Created: Dec 22, 2004 Last Modified: Dec 22, 2004