Education

 

Ph.D. Mathematical Sciences 2006, Clemson University. Thesis Title: Inverse Problems for Partial Differential Equations Arising in Optical Imaging of Highly Scattering Media.

 

M.A. Mathematics May, 2003, University of Georgia. Thesis Title: Transforms on Time Scales

 

B.S. Mathematics 2001, University of Georgia

 

Professional Experience

 

Research Scientist II, Georgia Tech Research Institute, September 2007 – Present.

 

Technical Staff, Georgia Tech Research Institute, March 2007 – September 2007.

 

Resident visitor of the Institute for Mathematics and its Applications September - December, 2005.

 

Professional Organizations

 

IEEE

 

American Mathematical Society

 

Society for Industrial and Applied Mathematics

 

Publications

1. A. Thomas, “Extending the RX Anomaly Detection Algorithm to Continuous Spectral and Spatial Domains,” Proc. of IEEE SoutheastCon, (2008).
2. A. Thomas and J.M. Cathcart, “Adaptive Spatial Sampling Schemes for the Detection of Minefields in Hyperspectral Imagery,” Proc. of SPIE Detection and Sensing of Mines, Explosive Objects, and Obscured Targets XIII 6953(28), (2008). 
3. A. Thomas and J.M. Cathcart, “Automated determination of scale and orientation of mine field grid,” Proc. of SPIE Detection and Sensing of Mines, Explosive Objects, and Obscured Targets XIII 6953(30), (2008). 
4. T. Khan, A. Thomas, and J. Yoon, “On Uniqueness in Refractive Index Optical Tomography,” Inverse Problems 22 (2006) L1-L5. 
5. T. Khan, A. Thomas, and J. R. Yoon. “On Existence and Uniqueness of the Forward and Inverse Problem in Refractive Index Based Optical Tomography.” IMA Preprint Series: 2074. Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, Minnesota, October 2005. 
6. T. Khan and A. Thomas, “Inverse Problem In Refractive Index Based Optical Tomography,” Inverse Problems, 22 (2006) 1121-1137. 
7. T. Khan and A. Thomas, “Comparison Of P_N Or Spherical Harmonics Approximation For Scattering Media With Spatially Varying And Spatially Constant Refractive Indices,” Optics Communications, 255 (2005) 130-166. 
8. T. Khan and A. Thomas, “On some new integrals involving associated Legendre functions and some new integrals over the unit sphere,” International Journal of Applied Mathematical Analysis and Applications, 1 (2005) 29-39. 
9. T. Khan and A. Thomas, “On derivation of the radiative transfer equation and its spherical harmonics approximation for scattering media with spatially varying refractive indices,” Technical Report: TR-2004-12-KT, Department of Mathematical Sciences, Clemson University, Clemson, South Carolina, December 2004.

Conference Presentations

1. Extending the RX Anomaly Detection Algorithm to Continuous Spectral and Spatial Domains, IEEE Southeast Conference, Huntsville, Alabama, April, 2008. 
2. Adaptive Spatial Sampling Schemes for the Detection of Minefields in Hyperspectral Imagery, SPIE Defense and Security Symposia, Orlando, Florida, March, 2008. 
3. Automated determination of scale and orientation of mine field grid, SPIE Defense and Security Symposia, Orlando, Florida, March, 2008. 
4. Spectral Signature Processing for Landmine Detection, 11th Annual Army Landmine Detection Research Review Meeting, Washington, D.C., January, 2008. (presented jointly with J. Michael Cathcart) 
5. When Bad Results Happen to Good Methods, Army Advanced Concept Workshop on Disturbed Soil Characterization and Exploitation, Atlanta, Georgia, January, 2008. 
6. Poster: Refractive Index Based Tomography, Institute for Mathematics and its Applications, Workshop on Frontiers in Imaging, Minneapolis, Minnesota, November 2005. 
7. The Derivation of the P_N Approximation for the Radiative Transfer Equation for Scattering Media with Spatially Varying Refractive Indices, SIAM Conference on Control and Its Applications, New Orleans, Louisiana, July, 2005. 
8. Investigating some special integrals involving associated Legendre functions, SIAM Southeast Atlantic Section Annual Meeting, Charleston, South Carolina, March 2005. 
9. Asymptotic Behavior of Natural Growth on Time Scales, Rocky Mountain Mathematics Consortium, Summer Conference on Dynamic Equations on Time Scales, Laramie, Wyoming, July 2002.