Kui Ren

I am currently an assistant professor of mathematics in the University of Texas at Austin. I got my PhD from Columbia University and spent a year as a L. E. Dickson instructor in University of Chicago before I moved to Austin in Fall 2008.

I have been coordinating the Math/ICES Center of Numerical Analysis Seminar since I joined University of Texas at Austin.

Here are some information on the undergraduate/graduate courses I am teaching/have taught.

My main research interests are: inverse boundary value problems, hybrid multi-physics inverse problems, imaging in complex media, fast algorithms for scattering phenomenon, applied numerical optimization, deterministic and stochastic algorithms for kinetic equations.

Here are some of my recent publications:

• Quantitative photoacoustic imaging in the radiative transport regime (with A. Mamonov), Commun. Math. Sci, 2012. [pdf].

• Stabilizing fluorescence tomography with photoacoustic data (with H. Zhao), Submitted, 2012. [pdf]

• Simultaneous reconstruction of ultrasound speed and absorption coefficient in QPAT with differential measurements, Submitted, 2012. [pdf].

• On the modeling and simulation of semiconductor-electrolyte solar cells (with Y. He, I. M. Gamba and H. Lee), Submitted, 2012. [pdf].

• On multi-spectral quantitative photoacoustic tomography (with G. Bal), Inverse Problems, 28, 025010, 2012. [pdf]. This paper was selected as a featured article by Inverse Problems.

• Quantitative Thermo-acoustics and related problems (with G. Bal, G. Uhlmann and T. Zhou), Inverse Problems, 27, 055007, 2011. [pdf].

• Multiple-source quantitative photoacoustic tomography (with G. Bal), Inverse Problems, 27, 075003, 2011. [pdf]. Read the news about this paper from Inverse Problems.

• Non-uniqueness result for a hybrid inverse problem (with G. Bal), Contemporary Mathematics, 2011. [pdf].

• Recovering doping profiles in semiconductor devices with the Boltzmann-Poisson model (with Y. Cheng and I. M. Gamba), J. Comput. Phys., 230, 3391-3412, 2011. [pdf].

• Recent development in numerical techniques for transport-based medical imaging methods, Commun. Comput. Phys., 8, 1-50, 2010. [pdf].

• Parametric image reconstruction using the discrete cosine transform for optical tomography (with X. Gu, J. Masciotti and A. H. Hilescher), J. Biomed. Opt., 14, 064003, 2009. [pdf].

• Physics-based models for measurement correlations. Application to an inverse Sturm-Liouville problem (with G. Bal), Inverse Problems, 25, 055006, 2009. [pdf].

• Transport-based imaging in random media (with G. Bal), SIAM Applied Math., 68, 1738-1762, 2008 . [pdf].

• Experimental validation of a transport-based imaging method in highly scattering environments (with G. Bal, L. Carin and D. Liu), Inverse Problems, 23, 2527-2539, 2007.  [pdf]. 

• Transport- and diffusion-based optical tomography in small domain: A comparative study (with G. Bal and A. H. Hilescher), Applied Optics, 46, 6669-6679, 2007. [pdf].

• Frequency-domain sensitivity analysis for small imaging domains using the equation of radiative transfer (with X. Gu and A. Hielscher), Appl. Optics, 46, 1624-1632, 2007. [pdf].

• Frequency domain optical tomography based on the equation of radiative transfer (with G. Bal and A. H. Hielscher), SIAM J. Sci. Comput., 28, 1463-1489, 2006. [pdf].

• Reconstruction of singular surfaces by shape sensitivity analysis and level set method (with G. Bal), Math. Models Methods Appl. Sci. (M3AS), 16, 1347-1373, 2006. [pdf].

• Optical tomographic imaging as a PDE-constrained optimization problem (with G. Abdoulaev and A. H. Hielscher), Inverse Problems, 21, 1507-1530, 2005. [pdf].

• Atmospheric concentration profile reconstructions from radiation measurements (with G. Bal), Inverse Problems, 21, 153-168, 2005. [pdf].

• Algorithm for  solving the equation of radiative transfer in the frequency domain (G. S. Abdoulaev, G. Bal and A. H. Hilescher), Optics Lett., 29, 578-580, 2004. [pdf].

• Generalized diffusion model in optical tomography with clear layers (with G. Bal), J. Opt. Soc. Am. A, 20, 2355-2364, 2003. [pdf].

Here is a full list of my publications .

My Erdös number is 4 according to MathSciNet of American Mathematical Society. 

Here are some useful links inside UT Austin: Mathematics  Center for Numerical Analysis  ICES   TACC

Here are links to NSF-supported math institutes:  AIM   ICERM   IMA   IPAM   MBI   MSRI   SAMSI

If you forget who your advisor is, you can figure it out here.