Profile
Dr. Renzi is a mathematician with strong experience in research and teaching both undergraduate and graduate courses. After the completion of his Ph.D., he was a postdoctoral fellow in the Department of Mathematical Sciences at Rensselaer Polytechnic Institute in New York during which, in addition to teaching, he directed undergraduate research on both wave propagation and numerical methods for static Hamilton-Jacobi equations. Subsequently, he served as Assistant Professor of Mathematics at Georgia Gwinnett College and Al Faisal University before joining Weill Cornell Medicine - Qatar (WCM-Q) in July 2009.
Dr. Renzi’s main research interests lie in inverse problems focusing on elastography, which have applications in the early detection of cancer and the characterization of abnormal tissues. He is very interested in the computational aspects of mathematics and is currently working on real-time imaging and fast methods for static Hamilton-Jacobi equations.
Selected Publications
- Bak S, McLaughlin J, Renzi D. Some improvements for the fast sweeping method. SIAM Journal on Scientific Computing. 2010 Sep;32(5):2853-74.
- Lin K, McLaughlin J, Renzi D, Thomas A. Shear wave speed recovery in sonoelastography using crawling wave data. Journal of the Acoustical Society of America. 2010 Jul;128(1):88-97.
- Ahmed S, Bak S, McLaughlin J, Renzi D. A third order accurate fast marching method for the eikonal equation in two dimensions. SIAM Journal on Scientific Computing. 2011 Sep;33(5):2402-20.
- Klein J, McLaughlin J, Renzi D. Improving arrival time identification in transient elastography. Phys. Med. Biol. 2012 57:2151-2168.