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Dissertation Titles for Master of Arts in Mathematics

Dive deep into abstract and applied mathematics with research topics spanning topology, algebra, modeling, and computation.

📐 Introduction

The MA in Mathematics at the University of Michigan fosters rigorous training in both pure and applied mathematics. With world-class faculty and research opportunities, students can explore everything from algebraic structures and topology to advanced computational techniques and real-world mathematical modeling.

📊 Suggested Dissertation Titles

Applications of Graph Theory in Social Network Analysis

Topological Data Analysis for High-Dimensional Datasets

Group Theory in Cryptographic Protocols and Security Systems

Mathematical Modeling of Infectious Disease Spread in Urban Areas

Dynamical Systems Approach to Climate Oscillations

Numerical Solutions for Partial Differential Equations in Engineering

The Riemann Hypothesis and Its Implications in Number Theory

Algebraic Topology Methods in Robotics Path Planning

Nonlinear Optimization Techniques in Machine Learning

Mathematical Logic in Formal Verification of Software Systems

Fourier Analysis Applications in Image Compression

Elliptic Curves in Modern Cryptography

Mathematical Modeling of Traffic Flow in Smart Cities

Stochastic Calculus for Financial Derivatives Pricing

Fractal Geometry in Natural Pattern Analysis

Theoretical Aspects of Combinatorics in Bioinformatics

Measure Theory and Its Role in Probability Theory Foundations

Matrix Algebra for Image Processing and Computer Vision

Modeling Quantum Systems with Linear Algebra

Differential Geometry in General Relativity Research

University of Michigan – MA in Mathematics

This program develops a solid foundation in analytical thinking and problem-solving, preparing graduates for research, education, finance, technology, and doctoral studies.

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