[The description of research interests below is incomplete, and will soon be updated; until then, please see the list of Publications for recent work.]
I am interested in the interplay of information theory with mathematics and statistics, which is particularly rich in the context of extremal problems. This is a very broad and exciting field of research, at least in my eyes. Here are links to brief notes to put my work in context, classified in a somewhat arbitrary (and overlapping) fashion:
If you are interested in more than summaries, please see my publications page.
Like all scientific effort, all my work has been an incremental addition to an edifice built by others. However, there are some people without whom much of this work would never have been completed. These are my collaborators, who have also connected me to the larger body of mathematicians, statisticians and engineers. In particular, my Erdős number (both of the standard kind and of the "second kind") is 2.
The research described in these pages is based upon work supported by the National Science Foundation under grant numbers DMS-1056996 (CAREER), CCF-1065494 and CCF-1248100 (INSPIRE). Needless to say, any opinions, findings and conclusions or recomendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation (NSF).
Last modified on June 1, 2012