Research Expertise:
Experimental Mathematics | Coding Theory | Frames

My research interests lie broadly in experimental mathematics with a current focus on coding theory and frames.

My work on coding theory consists of two projects. The first is to construct good error-correcting codes capable of correcting insertion, deletion, and substitution errors and apply them to the design of barcodes for DNA multiplex sequencing and data storage. The second is the develop codes for two-party interactive communication that are resistant to the same types of errors.

My work on frames seeks to construct efficient algorithms to partition frames with low coherence, called tight equiangular frames (ETFs), into sets with uniform small spectral norms, and to develop applications in communications and signal processing that utilize such partitions.  Current work focuses on two special types of frames: Steiner and maximal ETFs.

Member of:
Mathematical Association of America (www.maa.org)