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...Algebraic geometry and string theory tom bridgeland back to school curves in the plane is study of solutions sets polynomial equations these are called varieties x y xy circle hyperbola elliptic curve understanding points variety xn yn for which rational numbers equivalent solving fermat s last theorem on other hand general shape set over real or complex a question topology twentieth century became forbiddingly technical subject well insulated from non mathematical inuences this has completely changed since now at centre fascinating interaction between pure mathematics fertile ground interactions with many areas maths example number...