The PhD in Mathematics at Johns Hopkins University offers rigorous training in both pure and applied mathematics, enabling students to contribute to innovative solutions in mathematical physics, computational models, and more.
Algebraic Geometry: Research in Complex and Real Algebraic Varieties
Mathematical Modeling in Fluid Dynamics and Turbulence
Topology and its Applications in Physics and Engineering
Mathematical Techniques for Image Processing
Cryptography and Computational Complexity Theory
Statistical Inference and Machine Learning
Nonlinear Partial Differential Equations and Their Applications
Optimization Algorithms for High-Dimensional Data
Mathematical Models in Epidemic Disease Dynamics
Differential Geometry and Applications to General Relativity
Mathematical Foundations of Quantum Mechanics
Graph Theory and Network Analysis in Social and Biological Systems
Mathematical Methods in Quantum Field Theory
Computational Fluid Dynamics: Numerical Simulation Methods
Mathematics of Financial Markets and Risk Management
Mathematical Modeling in Biological Systems
Game Theory and its Applications in Economics and Strategy
Homotopy Theory and Higher Dimensional Algebra
Numerical Solutions to the Navier-Stokes Equations in Fluid Mechanics
Mathematical Techniques for Signal Processing
Advanced Topics in Functional Analysis and Operator Theory
Mathematical Physics: Quantum Groups and Statistical Mechanics
Representation Theory and Applications to Physics
Measure Theory and its Role in Probability and Statistics
Mathematical Approaches to Data Science and Big Data
Differential Topology and its Applications in Mathematical Physics
Complex Analysis and its Role in Fluid Dynamics
Group Theory and its Applications to Symmetry and Physics
Mathematical Models of Neural Networks and Cognitive Science
Partial Differential Equations in Climate Modeling
Mathematical Biology: Dynamical Systems and Population Models
The Department of Mathematics at Johns Hopkins University provides a comprehensive PhD program with a focus on both theoretical and applied mathematics, preparing students for impactful research in mathematics and related fields.
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