70+ Mathematics Dissertation Topics for 2025 Research

Mathematics Dissertation Topics

When it comes to writing a maths dissertation, choosing the right topic can be half the battle. It should challenge your thinking, hold your interest, and open up space for research that adds something new — whether you’re into pure maths, applied problems, or modern-day data work.

Here’s a list of 70+ fresh mathematics dissertation topics, covering various branches, real-world applications, and problem-solving themes that matter today.

Pure Mathematics

• Exploring the distribution of prime numbers in short intervals
• Patterns in continued fractions and their convergence properties
• Investigating algebraic structures in ring theory
• Proof techniques in transfinite induction
• Applications of number theory in cryptography
• Zero-free regions for the Riemann zeta function
• Lattice points and geometric number theory
• Topological invariants in low-dimensional manifolds
• Use of abstract algebra in modern mathematical logic
• Bijection methods in combinatorics

Applied Mathematics

• Optimisation problems in logistics and supply chain systems
• Mathematical modelling of infectious disease spread
• Chaos theory in weather prediction systems
• Modelling population dynamics in ecology
• Game theory strategies in business decision-making
• Wave equations in engineering applications
• Heat diffusion models in building insulation systems
• Traffic flow modelling on urban road networks
• Fluid dynamics in industrial pipe systems
• Shockwave modelling in aerospace simulations

Statistics & Probability

• Bayesian inference and real-world prediction models
• Statistical testing in medical trial data
• Multivariate regression in consumer behaviour analysis
• Sampling methods in environmental studies
• Predictive modelling in sports analytics
• Probability distributions in risk management
• Survival analysis in healthcare data
• Stochastic processes in queueing systems
• Time series forecasting in stock market trends
• Statistical quality control in manufacturing processes

Computational Mathematics

• Monte Carlo simulations in financial modelling
• Cryptographic algorithms based on number theory
• Finite difference methods in boundary value problems
• Machine learning algorithms from a mathematical perspective
• High-performance computing in solving partial differential equations
• Data compression techniques using linear algebra
• Convergence of numerical methods in iterative solutions
• Modelling data uncertainty using fuzzy logic
• Algorithm efficiency in large-scale computations
• Neural network structure and its mathematical foundation

Mathematical Physics

• Quantum mechanics and Hilbert space theory
• Modelling black hole thermodynamics mathematically
• Mathematical approaches to string theory
• Geometry in general relativity equations
• Symmetry and conservation laws in physics models
• Variational methods in classical mechanics
• Wave-particle duality through mathematical lenses
• Discrete models in quantum computing theory
• Applications of Fourier series in signal processing
• Energy conservation modelling in closed systems

Geometry & Topology

• Minimal surfaces and curvature theory
• Algebraic topology in knot theory
• Fractal geometry in natural patterns
• Symmetry in tiling and tessellations
• Graph theory applications in geometry
• Non-Euclidean geometries and their modern use
• Shape analysis in computational geometry
• Convex sets in optimisation problems
• Riemannian geometry in robotics path planning
• Topological methods in fixed-point theory

Education, History & Interdisciplinary Topics

• Effectiveness of inquiry-based learning in mathematics education
• Women mathematicians and their influence on modern algebra
• Visualisation tools in teaching multivariable calculus
• Historical roots of calculus in ancient mathematics
• Cultural approaches to numeracy across civilisations
• Influence of digital platforms in learning mathematical concepts
• The role of mathematics in environmental policy-making
• Intersections of maths and art: Symmetry in design
• Evolution of mathematical notation and its impact
• Using mathematics to study voting patterns and systems

Final Thoughts

A strong maths dissertation doesn’t need to chase trendy topics — it needs to ask a clear question, explore it with structure, and stay connected to real theory or practice. Whether your focus is pure, applied, or interdisciplinary, make sure the topic you choose keeps you curious throughout the process. That’s usually when the best work happens.