Banach Spaces, Convex Bodies, Probability, asymptotic geometric analysis, high-dimensional probability, convex geometry.

• 1. M. Rudelson, R. Vershynin, Geometric approach to error correcting codes and signal recovery, Int. Math. Res. Not. 2005, no. 64, 4019? 4041. 2. E. Candes, M. Rudelson, T. Tao, R. Vershynin, Error correction via linear programming, FOCS 2006 (46th Annual Symposium on Foundations of Computer Science). 3. M. Rudelson, R. Vershynin, Combinatorics of random processes and sections of convex bodies, Annals of Mathematics 164 (2006), 603?648. 4. S. Mendelson, A. Pajor, M. Rudelson, On the geometry of {+1,−1} polytopes, Discrete Comput. Geom. 34 (2005), no. 3, 365?379. 5. A. Litvak, A. Pajor, M. Rudelson, N. Tomczak-Jaegermann, Smallest singular value of random matrices and geometry of random polytopes, Adv. Math. 195 (2005), no. 2, 491?523. 6. A. Litvak, A. Pajor, M. Rudelson, N. Tomczak-Jaegermann, R. Vershynin, Random Euclidean embeddings in spaces of bounded volume ratio, C. R. Math. Acad. Sci. Paris 339 (2004), no. 1, 33?38.

• University of Missouri-Columbia