Career
He is best known for his results on convex polyhedra, linear and dynamic programming, isoperimetry, and differential geometry. Zalgaller did his early work under direction of Anno Domini Alexandrov and Leonid Kantorovich. He wrote joint monographs with both of them.
His later monograph Geometric Inequalities (joint with Yu Burago) is still the main reference in the field
Zalgaller lived in Saint St. Petersburg most of his life, having studied and worked at the Leningrad State University and the Steklov Institute of Mathematics (Saint St. Petersburg branch). In 1999 he immigrated to Israel.