100 Ideas for Research Projects in Mathematics
Research Project Ideas in Pure Mathematics
The mathematics of chaos theory
and its applications
The Fibonacci sequence and its
occurrence in nature
Geometry of fractals and their
real-world applications
Investigating number theory and
prime numbers
What is the Riemann Hypothesis
and why is it important?
Exploring the P vs. NP problem
The history and development of
calculus
The development and importance of
complex numbers in mathematics
Exploring the importance of
rigor in mathematics
Understanding non-Euclidean
geometry and its applications
Exploring the mathematics of
string theory
Exploring the concept of infinity
in mathematics
The importance of mathematical
logic and set theory
The importance of group theory in
abstract algebra
Investigating the role of algebra
in solving equations and systems
The role of polynomials in
solving algebraic equations
The importance of mathematical
proofs in geometry
Exploring the role of algebraic
structures in solving equations
The role of symmetry in solving
algebraic equations
The use of combinatorics in
solving complex problems
How prime numbers are used in
cryptography
Research Project Ideas about Applied
Mathematics in Technology and Computing
The
role of mathematics in cryptography
Using
linear algebra to understand 3D transformations in computer graphics
The
mathematics behind machine learning algorithms
Analyzing the mathematics behind search engines
The
use of combinatorics in solving complex problems
The
role of algorithms in solving Rubik’s cube
The
mathematics behind blockchain technology
The
role of discrete mathematics in computer science
The
role of Monte Carlo methods in probability and statistics
The
use of set theory in computer programming
Exploring optimization algorithms in machine learning
Investigating
cryptographic methods based on prime
How
do algorithms work?
The
mathematics behind artificial neural networks
The
role of geometry in computer vision and image recognition
The
mathematics behind machine learning algorithms
The
role of Monte Carlo methods in probability and statistics
Research Project
Ideas about Mathematics in Physical Sciences and Engineering
The mathematics of symmetry in
crystallography
Investigating topology and its
application in physics
The application of differential
equations in engineering
The role of eigenvalues and
eigenvectors in physics
The role of dimensional analysis
in physics
Exploring the mathematics of
fluid dynamics
The mathematics of black holes
The role of partial differential
equations in modelling heat transfer
The mathematics of flight
dynamics
Exploring how Fourier analysis is
used in signal processing
Investigating the use of calculus
in physics
The application of calculus in
electrical engineering
Investigating how calculus is
used in
The use of trigonometry in
astronomy
The role of probability in
quantum mechanics
Knot theory and its applications
in biology and chemistry
Exploring the role of vectors in
physics and engineering
Exploring the applications of matrix theory in quantum physics
Research Project Ideas about Mathematics
in Economics and Finance
Game theory and its applications
in economics
The mathematics behind stock
market predictions
Mathematical optimization in
logistics and supply chains
The role of mathematics in AI
Investigating the use of
mathematical models in economics
Bayesian probability and its
applications
The role of stochastic processes
in economics
The applications of linear
programming in business
The use of statistics in analyzing sports performance
Research Project Ideas about
Mathematics in Biology and Medicine
Mathematical models of infectious
diseases
Investigating the role of
probability in genetics
The role of statistics in health
and medical research
The use of mathematical models in
epidemiology
Exploring statistical models in
medical research
Investigating mathematical
modelling in sports performance analysis
The use of statistics in
analysing sports performance
The applications of statistics in
psychology and social sciences
The importance of mathematical
models in ecology
Investigating the use of
mathematical models in cancer research
Investigating the mathematics
behind disease spread in populations
Research Project Ideas about Mathematics and the Climate
The
mathematics of chaos and weather prediction
The use
of mathematical models in environmental conservation
How
mathematical models are used in predicting natural disasters
Investigating
the use of mathematics in climate modelling
Research Project Ideas about Mathematics and the Humanities
The
applications of statistics in psychology and social sciences
The
mathematics behind traffic optimization in urban planning
Exploring
the relationship between probability and gambling
Mathematical
models of population growth
Exploring
mathematical approaches to solving traffic flow problems
The mathematics
of traffic optimization in urban planning
Exploring
the mathematics of social media analysis
The
mathematics behind solving
Exploring
the applications of graph theory in networks and communications.
Research Project Ideas about Mathematics and the Arts
The role of mathematics in music theory
Investigating the golden ratio in art
The influence of fractals in visual arts
Exploring symmetry and patterns in art and design
Research Project Ideas about Mathematics and Politics
How statistics can be used to predict election outcomes
The mathematics of voting systems
The use of game theory in political decision-making
Investigating the mathematics of optical illusions
Using network theory to understand political alliances
