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Alan Mark Thomas


Institute for Mathematics and its Applications

Department of Mathematcal Sciences

University of Minnesota

Clemson University

400 Lind Hall, 207 Church Street SE

Martin Hall O-106 Box 340975

Minneapolis, MN 55455-0436

Clemson, SC 29634-097

Email: athomas@ima.umn.edu

Email: alant@clemson.edu



Curriculum Vitae (pdf, html)

Research Statement (pdf, html)

Teaching Statement (pdf, html)


Education:


Ph.D. Mathematical Sciences expected May, 2006

Advisor: Professor Taufiquar Khan

Dissertation Tiltle: Inverse Problems Involving Partial Differential

Equations Arising in Optical Tomography for Highly Scattering Media

Clemson University, Clemson, SC


M.A. Mathematics May, 2003

Advisor: Professor Thomas C. Gard

Thesis Title: Transforms on Time Scales

University of Georgia , Athens, GA


B.S. Mathematics May, 2001

University of Georgia, Athens, GA



Publications:


[4] 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).


[3] T. Khan and A. Thomas, "Inverse Problem In Refractive Index Based Optical Tomography," Inverse Problems, submitted (2005)


[2] 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.


[1] 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)



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