The program offers an innovative curriculum encompassing both traditional mathematics and cuttingedge contemporary applications. It is designed to ensure that students acquire rigorous and state-ofthe-art knowledge and to offer research opportunities under expert supervision. Sample Courses for the Doctoral Program Fall Term Advanced Topics in Financial Mathematics; Introduction to Mathematical Logic; Algebraic Topology;Functional Methods in Differential Equations; Introduction to Discrete Mathematics; Difference Equations and Applications; Probabalistic Number Theory; Hypergraphs, Set Systems, Intersection Theorems; Representation Theory; Algebraic Logic and Model Theory; Descriptive Set Theory Winter Term Basic Algebraic Geometry; Basic Concepts of Topology; Boundary Value Problems for Differential Equations;Control of Dynamic Systems; Modern Set Theory; Combinatorial Optimization; Fixed Point Theory and Applications; Introduction to CCR-algebras; Modern Prime Number Theory; Random Methods in Combinatorics; Logic of Programs; Smooth Manifolds and Differential Topology Spring Term Distinguished Lecture Series: Introduction to Modern Calculus of Variations; Introduction to the Mathematical Theory of Fluid Mechanics

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