Biography

Website: http://users.rowan.edu/~nguyen/

Education:
BS (Mathematics and Electrical Engineering), University of Minnesota-Minneapolis
PhD (Mathematics), University of California-Berkeley

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)

Recent Publications:
Rosado J, Nguyen HD (2017) Partitions of equiangular tight frames.  Linear Algebra Appl. 526:95-120.

Bittner D, Cheong L, Gates D, Nguyen HD (2017) New approximations for the area of the Mandelbrot set.  Involve. 10:555-572.

Logan B, Nguyen HD (2016) Group symmetries of complementary code matrices.  IEEE Trans Aerosp Electron Syst.  52:2255-2262.

Nguyen HD, Coxson GE (2016) Doppler tolerance, complementary code sets, and generalised Thue–Morse sequences. IET Radar Sonar Navig. 10:1603-1610.

Le TA, Nguyen HD (2016) New multiple insertion/deletion correcting codes for non-binary alphabets.  IEEE Trans Inf Theory.  62:2682-2693.

  Spring 2024 - Class Schedule
25198 - MATH 03150-4      DISCRETE MATH      TR 11:00-12:15      Science 254
25199 - MATH 03150-5      DISCRETE MATH      MW 12:30-1:45      Science 128

Spring 2024 - Office Hours
By appointment at  nguyen@rowan.edu