James B. Wilson
Assistant Professor

Department of Mathematics
Colorado State University
101 Weber Building
Fort Collins, CO 80523

Office: 125 Weber Building

James.Wilson@ColoState.edu

my take on group isomorphism today (Group Isomorphism is tied up in Knots (a survey of group isomorphism))

research interests (See research summary)

conference on (Groups, Computation, Geometry)

\[x(yz)=(xy)z\] \[x^n=0\] \[x(y+z)=xy+xz\] \[xy=0\Rightarrow x=0 \vee y=0\]
  • group decompositions
  • computation with groups
  • group intersections
  • group varieties
  • p-groups
  • isomorphism
  • enumeration
  • bilinear maps
  • isometry and isotopism
  • adjoints
  • derivations
  • Jordan and Lie algebras
  • computation with algebras
  • nonsingularity
  • semifields
  • I work with groups (the first column). I leave simple groups to better minds, so I guess you could say I'm not a simple minded group theorist. Instead I focus on nilpotence (the second column). For me nilpotence is about bilinearity (the third column) and in the course of study I have re-discovered or introduced various connections between these functions and a wide range of algebras both associative and nonassociative. In an attempt to arrange an ontology (in the sense of Computer Science) for bilinear maps I was lead by categories to products without zero-divisors (the fourth column). Who would have thought that nilpotence would go hand-in-hand with omitting zero-divisors!

    While I am not an expert in all of these areas I find them fruitful places for questions and results and I hope to learn more -- perhaps from you.