Miscellaneous Research Interests (selected publications)


In general we find all problems that have a mathematical and flavor appealing. Some problems that we currently find interesting are:

Cake-Cutting / Resource Sharing:
We study the computational aspects of fairly dividing a finite resource (a cake) among many users. Such work could have applications in (for example) sharing network resources, pricing of network resources, etc. We are interested in both the static and dynamic cases.
Data Mining the Galactic Sky:
We are interested in the automated detection of structure in stellar databases. Examples of such structure includes streams (elliptical formations) and globular clusters. Since data regarding angular coordinates and apparent luminosities of many stars is becoming available, an important task is to be able to uncover structure such as galaxies that have been stretched into streams in an automated fashion. The use of modeling and learning could provide a powerful tool. We combine statistical methods together with physical theories to attack this problem.
Selected Publications: