Research Summary: Provision of effective information

Research on information interaction and intelligent information provision mechanisms

Provision of telematics research

Information Integration Research: Summary of NSF IDM Workshop Breakout Session

Research Summary

Introduction Higher-dimensional algebra is the study of generalizations of algebraic concepts obtained through a process called ‘categorification’. My research in higher-dimensional algebra develops and explores categorified Lie algebras, also called Lie 2-algebras, and their relationships to low-dimensional topology. In the mid-1990’s, Crane [C,CF] coined the term categorification to refer to ...

Research Summary

Efficient arithmetic of finite fields is important in implementing cryptosystems, error-correcting codes and computer algebra systems. Normal bases offer considerable advantages. Optimal normal bases in finite fields were introduced at the University of Waterloo by Mullin et al., and are used in practical hardware implementation of public-key cryptosystems. In the same paper, Mullin et al. cons...