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The Department of Mathematics at Niigata University covers the following research areas—the structures of the Banach spaces and the Banach algebras including the space of operators and functions; the geometry of algebraic manifold and algebraic structure; the theories and application of number theory, topology, and differential geometry; algebraic theories including computer algebra, cryptography and coding theory; the theories and application of mathematical statistics, including time series analysis and mathematical finance; and mathematical programming, operational research, and optimization theories.