Alexander G Ramm

Alexander G. Ramm was born in Russia, emigrated to the United States in 1979, and is a U.S. citizen. He is a Professor Emeritus of Mathematics with broad interests in analysis, scattering theory, inverse problems, theoretical physics, engineering, signal estimation, tomography, theoretical numerical analysis, and applied mathematics. He is the author of 708 research papers and 20 research monographs, and is the editor of 3 books. He has lectured in many universities throughout the world, gave...See more

Alexander G. Ramm was born in Russia, emigrated to the United States in 1979, and is a U.S. citizen. He is a Professor Emeritus of Mathematics with broad interests in analysis, scattering theory, inverse problems, theoretical physics, engineering, signal estimation, tomography, theoretical numerical analysis, and applied mathematics. He is the author of 708 research papers and 20 research monographs, and is the editor of 3 books. He has lectured in many universities throughout the world, gave more than 150 invited and plenary talks at various conferences, and had supervised 11 Ph.D. students. He was a Fulbright Research Professor in Israel and Ukraine, distinguished visiting professor in Mexico and Egypt, Mercator professor in Germany, research professor in France, Spain, Japan, China, Sweden, Italy, Turkey, Australia, and other countries, invited plenary speaker at the 7th PACOM in Africa, won the Khwarizmi international award in 2004, and received many other honors. A. G. Ramm has solved inverse scattering problems with fixed-energy scattering data, with non-over-determined scattering data and has studied scattering problems with under-determined scattering data. He has solved many specific inverse problems and developed new methods in this area. He has also solved the many-body wave scattering problem when the bodies are small particles of arbitrary shapes and used this theory to give a recipe for creating materials with a desired refraction coefficient. These results attracted attention from the scientists working in nanotechnology. He gave formulas for the scattering amplitude for scalar and electro-magnetic waves by small bodies of arbitrary shapes and formulas for the polarizability tensors for such bodies. He gave a complete solution to the Pompeiu problem, proved the Schiffer's conjecture, and gave first symmetry results in harmonic analysis. He has developed the Dynamical Systems Method (DSM) for solving linear and nonlinear operator equations, especially ill-posed. He developed a random fields estimation theory, proved nonlinear inequalities, and used these for obtaining new results in stability theory. He studied convolution integral equations and inequalities with hyper-singular integrals. Recently, he solved the millennium problem (concerning the Navier-Stokes Problem (NSP)) and proved the paradox in the NSP which shows the contradictory nature of the NSP and the non-existence of its solution on the interval t 2 ?0;1/ for the initial data v0.x/ 6 0 and f .x; t / D 0. See less