UMD’s MS in Mathematics provides a deep foundation in analysis, algebra, topology, number theory, and applied mathematics. Students pursue both theoretical research and interdisciplinary applications, preparing for careers in academia, data science, finance, and engineering.
Analysis of symmetry groups in crystal structures
Mathematical modeling of infectious disease dynamics using differential equations
Topology-based shape classification algorithms for 3D images
Research on properties of prime gaps and distribution
Development of numerical methods for partial differential equations
Exploration of modular forms in cryptography applications
Study of chaos theory in nonlinear dynamical systems
Optimization problems using variational calculus
Graph theory project modeling social network connectivity
Study of elliptic curves for use in digital signatures
Matrix decomposition techniques in signal processing
Design of a curriculum module on mathematical proof writing
Simulation of fluid flow using finite difference methods
Theoretical analysis of convergence in machine learning algorithms
Investigation of random walk models in financial forecasting
Mathematical logic applications in computational linguistics
Study of geometric transformations in robotics kinematics
Application of Galois theory to solvability of polynomial equations
Comparison of iterative methods for solving large linear systems
Algebraic topology methods for analyzing complex data structures
Solve abstract and applied challenges using algebra, topology, and analysis in UMD’s rigorous Mathematics MS.
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