Doctor of Philosophy in Mathematics and its Applications
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.
Doctoral enrollment may continue up to a maximum of six years. Students admitted into CEU doctoral programs are eligible to receive the CEU Doctoral Fellowship for at least three years. Numerous additional funding opportunities exist, such as the Doctoral Research Support Grant Program, the Erasmus Mobility Scheme, and various research and travel funds. Further information on financial aid is available at: www.ceu.hu/admissions/financialaid/doctoral. Additional information on CEU’s doctoral programs can be found at: www.ceu.hu/studentlife/students/policies
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
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
Distinguished Lecture Series: Introduction to Modern Calculus of Variations; Introduction to the Mathematical Theory of Fluid Mechanics
Entry Requirements for the Doctoral Program
In addition to meeting the General CEU Admissions Requirements, applicants for the PhD program must submit a one-page statement describing their interest in mathematics, their achievements to date and their future goals. Applicants are expected to hold an MS or MSc with a major in mathematics or a related field such as physics, engineering or computer science. Applicants must have a solid mathematical background.