Mathematics

In the Doctoral program, students study more advanced mathematics and are expected to produce novel research results. They are given the necessary training to become competent mathematicians and independent researchers. Until now, about 45% of the PhDs produced by the DMS have become professors of mathematics, computer science, or related fields, while the rest are employed in research institutes or industry.

Mandatory General Courses

• Probability and Statistics

Elective Courses

• Analysis for Engineers
• Functional Analysis for Engineers
• Algebra for Engineers
• Applied Matrix Computation
• Number Theory
• Algebra I
• Algebra II
• Differential Geometry
• Differential Topology
• Algebraic Topology I
• Algebraic Topology II
• Real Analysis
• Complex Function Theory
• Wavelets and Applications
• Approximation Theory
• Symbolic Dynamics
• Probability Theory
• Queueing Theory with Applications
• Advanced Statistics
• Time Series Analysis
• Theory and Application of Machine Learning
• Methods of Applied Mathematics
• Numerical Analysis
• Stochastic Methods in Financial Mathematics
• Combinatorics
• Recent Progress in Applied Mathematics
• Topics in Mathematics I
• Topics in Mathematics II
• Algebraic Geometry I
• Algebraic Geometry II
• Lie Algebra
• Lie Groups
• Riemannian Geometry
• Symplectic Geometry
• Complex Geometry
• Geometric Topology
• Homotopy Theory
• Harmonic Analysis
• Functional Analysis
• Generalized Functions
• Partial Differential Equations
• Nonlinear Differential Equations
• Ordinary Differential Equations
• Stochastic Differential Equations
• Stochastic Processes
• Graphic Models in Statistics
• Multivariate Statistical Analysis
• Computational Models of Neural Networks
• Numerical Fluid Mechanics
• Mathematical Fluid Mechanics
• Numerical Partial Differential Equations
• High Speed Computation
• Computational Methods in Financial Mathematics
• Representation Theory
• Cryptology and Coding Theory
• Algebraic Number Theory
• Knot Theory
• Transformation Group Theory
• Ergodic Theory
• Mathematical Methods for Mechanics
• Finite Element Method
• Statistical Methods in Financial Mathematics
• Topics in Mathematics
• Topics in Mathematics I
• Topics in Mathematics II

Research

• PhD Thesis
• PhD Seminar

Requirements

• Application Form
• Statement of Financial Resources
• Letters of Recommendation
• Degree/Diploma
• Transcripts
• English Proficiency Test Reports (EPT)
  TOEFL (PBT 560, CBT 220, IBT 83), IELTS 6.5, TEPS 599, TOEIC 720 or higher
• Curriculum Vitae
• List of Honors and Awards
• Employment Certificate
• School Profile/Credit Rating System
• The application fee is KRW 80,000 or USD 80. Payment can be made by credit card or bank transfer after writing application form online. Please note that application fee is non-refundable and you cannot modify application form once you pay the application fee.

Scholarships

• KAIST International Student Scholarship
• Korean Government Scholarship (KGSP)
• Russian Government Scholarship – Global Education Program (GEP)