applied mathematics, department of physical and mathematical sciences
electrical engineering, department of electrical and computer engineering (graduated whoohoo!)
north carolina state university

certificate, documentary studies: photography, center for documentary studies
duke university (link)

current interest areas inverse problems and sensitivity analyses; subset selection optimization and control, uncertaintity quantification; nonlinear equations computer design of electron devices; model integration signal processing and comm engineering social discourse

employment via My benevolent research advisor, Dr. H. T. Tran.

i believe in documentary: documentary work

• Positive Transitions: Documenting the lives of HIV+ Individuals in my area, Spring 2006
• Downtown and Underground: Another look at AAA Check Cashing and Bail Bonding, Fall 2005
• Streaming Landscapes: Downtown Raleigh, Spring 2005
• 24.7: AAA Check Cashing and Bail Bonding, Fall 2004 (statement)
• The Nature of Self, Spring 2004
• Older Photographic Works (unreliable link)
• old school: The Kids Are Alright (Emmy Nominated), 2002 (21:18, google video link)
• slightly less old school: The Joy of Being Mary, Spring 2004 (10:18, youtube link)

current and past research activities (most recent/current listed first)

• Subset Selection for Parameter Estimation in an HIV Model
  • With H.T. Tran and Martink Fink, University of Oxford. Published in Proceedings in Applied Mathematics and Mechanics. Nov 2007.
• Feasibility of Metabolic Parameter Estimation in Pharmocokinetic Models of Carbon Tetrachloride Exposure in Rats (summary paper)
  • Advisor: H.T Tran and Karen Yokley, EPA. Work produced in the 2007 Applied Mathematics REU. Soon to be published in the Journal of Pharmacokinetics and Pharmacodynamics.
• The Fesability of Illuminant Estimation in Hyperspectral Images and Datasets. (poster)
  • Advisor: H.J Trussell. Winner: Best Poster, ECE Undergrad Research Symposium. Winner: Best Research in Engineerng and Technology, NCSU Undergrad Research Symposium.
• Design of Electron Devices using Computer Optimization.
  • Paper (under review): A Hybrid Optimization Approach for the Optimal Design of Traveling Wave Tubes. (link (pdf), poster)
    • Advisor: Dr. H. T. Tran. Presented at the 2007 Joint Mathematics Meeting in New Orleans, LA and the SIAM Meeting on Computational Mathematics and Engineering in Costa Mesa, CA. Winner: Best Poster (Joint Mathematics Meeting)
• Real Time 3D Facial Detection and Reconginition Systems (senior design project). Advisor: Dr. H. Krim, VISSTA Research Group.

• NEW!: Subset selection for improved parameter estimation (draft). This was my numerical analysis research papaer, and we're going to use it as a template for our longer subset selection paper. I use an HIV model as an example and talk about the SVD, QR, etc.
• The official MATLAB Crash Course. I wrote this 18 page LaTeX document for the 2007 summer REU. Assumes no MATLAB experience and covers ODE solvers, optimization, linear algebra problems, least squares curve fitting, and the inverse problem. A good getting started guide to MATLAB.
• Summary of the first third of Real Analysis 2: open and closed sets, norm and metric spaces, accumulation points, and a couple of good proofs that you've probably had to do for homework. compactness. cauchy sequences in R^n. Love this stuff up.
• The second third of Real Analysis 2: more compactness, continuity, differentiability at a point (linear map definition), relatively open and closed, continuous functions evaluated on compact sets, etc.
• The last third of Advanced Multivariable Calculus. More on differentiability, maximum and minimum theroems, Taylor's Therorem, and a little bit of integration theory (partitions, upper and lower sums, condititions of Riemann Integrability).
• fftplot.m: produces meaningful plots of an DFT/FFT, assuming you know the sampling frequency. For most homework problems you would, so this script does all of the math for you. Very useful in ECE 301, 402, 420, 421, and 422. I can't believe I took all of those classes.

papers and projects of interest (mathematical and engineering goodness)

• A Survey of Terrestrial and Free Space Based Optical Communications Systems
• Size-Age Dependent Population Model (Sinko-Streifer Model)
• Acoustic Wave Propogation in a PVC Pipe
• Gallium Phosphide Thin Film Growth Formation, Monitoring and Control
• Algebraic Coding Theory

current schedule: sp 08

MA 780, Numerical Analysis II
MA 731, Optimal Control
MA 797V, Model Verification and Uncertaintity Quantification
and most likely sitting on MA 732, Ordinary Differential Equations II