News:

• Read my recent paper on embedded knotted tori in R^4 by going to my preprint link above. This paper describes a new way to embed tori into R^4 called a hypercube diagram and shows how that representation can be used to construct useful and computable invariants of the knotted tori.
  
  This paper is a key part of my work to understand smooth embeddings combinatorially. Earlier work with Adam Lowrance in one dimension lower lead to cube diagrams of knots in R^3, which can also be accessed at the link above.
  
  Here is a picture of a cube knot:
  
  
  
  For computer code to visualize and work with cube diagrams, go to
  
  http://code.google.com/p/cubeknots/
  
  Check back soon for code to work with hypercube diagrams.
  
  
• Elementary Mathematics for Teachers and Geometry for Teachers, two books I co-wrote with Thomas Parker of MSU, are available at Singaporemath.com.  You can find instructor resources at:
  
  www.elementarymathforteachers.com
  

• Elementary Mathematics for Teachers and Elementary Geometry for Teachers were rated highest among college math textbooks for teachers in their respective categories in a recent report by the National Council on Teacher Quality.