Professor of Mathematics
Warren Weaver Hall, Office 616
Ph.D., Applied and Computational Mathematics, Princeton University, USA, 2000.
B.S., Mathematics and Electrical Engineering, Bogazici University, Turkey, 1996.
My research interests mainly center around efficient digital representations of analog signals. This subject draws on sampling theory in signal processing and harmonic analysis as well as quantization theory in information theory. I have worked extensively on the approximation power of sigma-delta modulation schemes in the classical setting of bandlimited functions. Recently I have been involved in building a quantization theory for compressive sampling.
I. Daubechies, R. DeVore, M. Fornasier, and C. Sinan Gunturk, "Iteratively Re-weighted Least Squares Minimization for Sparse Recovery", Communications on Pure and Applied Mathematics 63, no. 1, 1-38 (2010)
C. Sinan Gunturk, "Mathematics of Analog-to-Digital Conversion", Communications on Pure and Applied Mathematics 65, no. 12, 1671-1696 (2012) (Special Issue Commemorating the 75th Anniversary of the Courant Institute)
C. Sinan Gunturk, M. Lammers, A. Powell, R. Saab, and O. Yilmaz, "Sobolev Duals for Random Frames and Sigma-Delta Quantization of Compressed Sensing Measurements", Foundations of Computational Mathematics 13, no. 1, 1-36 (2013)