251+ Math Research Topics [2024 Updated]
Mathematics, often dubbed as the language of the universe, holds immense significance in shaping our understanding of the world around us. It’s not just about crunching numbers or solving equations; it’s about unraveling mysteries, making predictions, and creating innovative solutions to complex problems. In this blog, we embark on a journey into the realm of math research topics, exploring various branches of mathematics and their real-world applications.
How Do You Write A Math Research Topic?
Writing a math research topic involves several steps to ensure clarity, relevance, and feasibility. Here’s a guide to help you craft a compelling math research topic:
- Identify Your Interests: Start by exploring areas of mathematics that interest you. Whether it’s pure mathematics, applied mathematics, or interdisciplinary topics, choose a field that aligns with your passion and expertise.
- Narrow Down Your Focus: Mathematics is a broad field, so it’s essential to narrow down your focus to a specific area or problem. Consider the scope of your research and choose a topic that is manageable within your resources and time frame.
- Review Existing Literature: Conduct a thorough literature review to understand the current state of research in your chosen area. Identify gaps, controversies, or unanswered questions that could form the basis of your research topic.
- Formulate a Research Question: Based on your exploration and literature review, formulate a clear and concise research question. Your research question should be specific, measurable, achievable, relevant, and time-bound (SMART).
- Consider Feasibility: Assess the feasibility of your research topic in terms of available resources, data availability, and research methodologies. Ensure that your topic is realistic and achievable within the constraints of your project.
- Consult with Experts: Seek feedback from mentors, advisors, or experts in the field to validate your research topic and refine your ideas. Their insights can help you identify potential challenges and opportunities for improvement.
- Refine and Iterate: Refine your research topic based on feedback and further reflection. Iterate on your ideas to ensure clarity, coherence, and relevance to the broader context of mathematics research.
- Craft a Title: Once you have finalized your research topic, craft a compelling title that succinctly summarizes the essence of your research. Your title should be descriptive, engaging, and reflective of the key themes of your study.
- Write a Research Proposal: Develop a comprehensive research proposal outlining the background, objectives, methodology, and expected outcomes of your research. Your research proposal should provide a clear roadmap for your study and justify the significance of your research topic.
By following these steps, you can effectively write a math research topic that is well-defined, relevant, and poised to make a meaningful contribution to the field of mathematics.
| “Exploring the Dynamics of Chaos: A Study of Fractal Patterns and Nonlinear Systems” |
251+ Math Research Topics: Beginners To Advanced
- Prime Number Distribution in Arithmetic Progressions
- Diophantine Equations and their Solutions
- Applications of Modular Arithmetic in Cryptography
- The Riemann Hypothesis and its Implications
- Graph Theory: Exploring Connectivity and Coloring Problems
- Knot Theory: Unraveling the Mathematics of Knots and Links
- Fractal Geometry: Understanding Self-Similarity and Dimensionality
- Differential Equations: Modeling Physical Phenomena and Dynamical Systems
- Chaos Theory: Investigating Deterministic Chaos and Strange Attractors
- Combinatorial Optimization: Algorithms for Solving Optimization Problems
- Computational Complexity: Analyzing the Complexity of Algorithms
- Game Theory: Mathematical Models of Strategic Interactions
- Number Theory: Exploring Properties of Integers and Primes
- Algebraic Topology: Studying Topological Invariants and Homotopy Theory
- Analytic Number Theory: Investigating Properties of Prime Numbers
- Algebraic Geometry: Geometry Arising from Algebraic Equations
- Galois Theory: Understanding Field Extensions and Solvability of Equations
- Representation Theory: Studying Symmetry in Linear Spaces
- Harmonic Analysis: Analyzing Functions on Groups and Manifolds
- Mathematical Logic: Foundations of Mathematics and Formal Systems
- Set Theory: Exploring Infinite Sets and Cardinal Numbers
- Real Analysis: Rigorous Study of Real Numbers and Functions
- Complex Analysis: Analytic Functions and Complex Integration
- Measure Theory: Foundations of Lebesgue Integration and Probability
- Topological Groups: Investigating Topological Structures on Groups
- Lie Groups and Lie Algebras: Geometry of Continuous Symmetry
- Differential Geometry: Curvature and Topology of Smooth Manifolds
- Algebraic Combinatorics: Enumerative and Algebraic Aspects of Combinatorics
- Ramsey Theory: Investigating Structure in Large Discrete Structures
- Analytic Geometry: Studying Geometry Using Analytic Methods
- Hyperbolic Geometry: Non-Euclidean Geometry of Curved Spaces
- Nonlinear Dynamics: Chaos, Bifurcations, and Strange Attractors
- Homological Algebra: Studying Homology and Cohomology of Algebraic Structures
- Topological Vector Spaces: Vector Spaces with Topological Structure
- Representation Theory of Finite Groups: Decomposition of Group Representations
- Category Theory: Abstract Structures and Universal Properties
- Operator Theory: Spectral Theory and Functional Analysis of Operators
- Algebraic Number Theory: Study of Algebraic Structures in Number Fields
- Cryptanalysis: Breaking Cryptographic Systems Using Mathematical Methods
- Discrete Mathematics: Combinatorics, Graph Theory, and Number Theory
- Mathematical Biology: Modeling Biological Systems Using Mathematical Tools
- Population Dynamics: Mathematical Models of Population Growth and Interaction
- Epidemiology: Mathematical Modeling of Disease Spread and Control
- Mathematical Ecology: Dynamics of Ecological Systems and Food Webs
- Evolutionary Game Theory: Evolutionary Dynamics and Strategic Behavior
- Mathematical Neuroscience: Modeling Brain Dynamics and Neural Networks
- Mathematical Physics: Mathematical Models in Physical Sciences
- Quantum Mechanics: Foundations and Applications of Quantum Theory
- Statistical Mechanics: Statistical Methods in Physics and Thermodynamics
- Fluid Dynamics: Modeling Flow of Fluids Using Partial Differential Equations
- Mathematical Finance: Stochastic Models in Finance and Risk Management
- Option Pricing Models: Black-Scholes Model and Beyond
- Portfolio Optimization: Maximizing Returns and Minimizing Risk
- Stochastic Calculus: Calculus of Stochastic Processes and Itô Calculus
- Financial Time Series Analysis: Modeling and Forecasting Financial Data
- Operations Research: Optimization of Decision-Making Processes
- Linear Programming: Optimization Problems with Linear Constraints
- Integer Programming: Optimization Problems with Integer Solutions
- Network Flow Optimization: Modeling and Solving Flow Network Problems
- Combinatorial Game Theory: Analysis of Games with Perfect Information
- Algorithmic Game Theory: Computational Aspects of Game-Theoretic Problems
- Fair Division: Methods for Fairly Allocating Resources Among Parties
- Auction Theory: Modeling Auction Mechanisms and Bidding Strategies
- Voting Theory: Mathematical Models of Voting Systems and Social Choice
- Social Network Analysis: Mathematical Analysis of Social Networks
- Algorithm Analysis: Complexity Analysis of Algorithms and Data Structures
- Machine Learning: Statistical Learning Algorithms and Data Mining
- Deep Learning: Neural Network Models with Multiple Layers
- Reinforcement Learning: Learning by Interaction and Feedback
- Natural Language Processing: Statistical and Computational Analysis of Language
- Computer Vision: Mathematical Models for Image Analysis and Recognition
- Computational Geometry: Algorithms for Geometric Problems
- Symbolic Computation: Manipulation of Mathematical Expressions
- Numerical Analysis: Algorithms for Solving Numerical Problems
- Finite Element Method: Numerical Solution of Partial Differential Equations
- Monte Carlo Methods: Statistical Simulation Techniques
- High-Performance Computing: Parallel and Distributed Computing Techniques
- Quantum Computing: Quantum Algorithms and Quantum Information Theory
- Quantum Information Theory: Study of Quantum Communication and Computation
- Quantum Error Correction: Methods for Protecting Quantum Information from Errors
- Topological Quantum Computing: Using Topological Properties for Quantum Computation
- Quantum Algorithms: Efficient Algorithms for Quantum Computers
- Quantum Cryptography: Secure Communication Using Quantum Key Distribution
- Topological Data Analysis: Analyzing Shape and Structure of Data Sets
- Persistent Homology: Topological Invariants for Data Analysis
- Mapper Algorithm: Method for Visualization and Analysis of High-Dimensional Data
- Algebraic Statistics: Statistical Methods Based on Algebraic Geometry
- Tropical Geometry: Geometric Methods for Studying Polynomial Equations
- Model Theory: Study of Mathematical Structures and Their Interpretations
- Descriptive Set Theory: Study of Borel and Analytic Sets
- Ergodic Theory: Study of Measure-Preserving Transformations
- Combinatorial Number Theory: Intersection of Combinatorics and Number Theory
- Additive Combinatorics: Study of Additive Properties of Sets
- Arithmetic Geometry: Interplay Between Number Theory and Algebraic Geometry
- Proof Theory: Study of Formal Proofs and Logical Inference
- Reverse Mathematics: Study of Logical Strength of Mathematical Theorems
- Nonstandard Analysis: Alternative Approach to Analysis Using Infinitesimals
- Computable Analysis: Study of Computable Functions and Real Numbers
- Graph Theory: Study of Graphs and Networks
- Random Graphs: Probabilistic Models of Graphs and Connectivity
- Spectral Graph Theory: Analysis of Graphs Using Eigenvalues and Eigenvectors
- Algebraic Graph Theory: Study of Algebraic Structures in Graphs
- Metric Geometry: Study of Geometric Structures Using Metrics
- Geometric Measure Theory: Study of Measures on Geometric Spaces
- Discrete Differential Geometry: Study of Differential Geometry on Discrete Spaces
- Algebraic Coding Theory: Study of Error-Correcting Codes
- Information Theory: Study of Information and Communication
- Coding Theory: Study of Error-Correcting Codes
- Cryptography: Study of Secure Communication and Encryption
- Finite Fields: Study of Fields with Finite Number of Elements
- Elliptic Curves: Study of Curves Defined by Cubic Equations
- Hyperelliptic Curves: Study of Curves Defined by Higher-Degree Equations
- Modular Forms: Analytic Functions with Certain Transformation Properties
- L-functions: Analytic Functions Associated with Number Theory
- Zeta Functions: Analytic Functions with Special Properties
- Analytic Number Theory: Study of Number Theoretic Functions Using Analysis
- Dirichlet Series: Analytic Functions Represented by Infinite Series
- Euler Products: Product Representations of Analytic Functions
- Arithmetic Dynamics: Study of Iterative Processes on Algebraic Structures
- Dynamics of Rational Maps: Study of Dynamical Systems Defined by Rational Functions
- Julia Sets: Fractal Sets Associated with Dynamical Systems
- Mandelbrot Set: Fractal Set Associated with Iterations of Complex Quadratic Polynomials
- Arithmetic Geometry: Study of Algebraic Geometry Over Number Fields
- Diophantine Geometry: Study of Solutions of Diophantine Equations Using Geometry
- Arithmetic of Elliptic Curves: Study of Elliptic Curves Over Number Fields
- Rational Points on Curves: Study of Rational Solutions of Algebraic Equations
- Galois Representations: Study of Representations of Galois Groups
- Automorphic Forms: Analytic Functions with Certain Transformation Properties
- L-functions: Analytic Functions Associated with Automorphic Forms
- Selberg Trace Formula: Tool for Studying Spectral Theory and Automorphic Forms
- Langlands Program: Program to Unify Number Theory and Representation Theory
- Hodge Theory: Study of Harmonic Forms on Complex Manifolds
- Riemann Surfaces: One-dimensional Complex Manifolds
- Shimura Varieties: Algebraic Varieties Associated with Automorphic Forms
- Modular Curves: Algebraic Curves Associated with Modular Forms
- Hyperbolic Manifolds: Manifolds with Constant Negative Curvature
- Teichmüller Theory: Study of Moduli Spaces of Riemann Surfaces
- Mirror Symmetry: Duality Between Calabi-Yau Manifolds
- Kähler Geometry: Study of Hermitian Manifolds with Special Symmetries
- Algebraic Groups: Linear Algebraic Groups and Their Representations
- Lie Algebras: Study of Algebraic Structures Arising from Lie Groups
- Representation Theory of Lie Algebras: Study of Representations of Lie Algebras
- Quantum Groups: Deformation of Lie Groups and Lie Algebras
- Algebraic Topology: Study of Topological Spaces Using Algebraic Methods
- Homotopy Theory: Study of Continuous Deformations of Spaces
- Homology Theory: Study of Algebraic Invariants of Topological Spaces
- Cohomology Theory: Study of Dual Concepts to Homology Theory
- Singular Homology: Homology Theory Defined Using Simplicial Complexes
- Sheaf Theory: Study of Sheaves and Their Cohomology
- Differential Forms: Study of Multilinear Differential Forms
- De Rham Cohomology: Cohomology Theory Defined Using Differential Forms
- Morse Theory: Study of Critical Points of Smooth Functions
- Symplectic Geometry: Study of Symplectic Manifolds and Their Geometry
- Floer Homology: Study of Symplectic Manifolds Using Pseudoholomorphic Curves
- Gromov-Witten Invariants: Invariants of Symplectic Manifolds Associated with Pseudoholomorphic Curves
- Mirror Symmetry: Duality Between Symplectic and Complex Geometry
- Calabi-Yau Manifolds: Ricci-Flat Complex Manifolds
- Moduli Spaces: Spaces Parameterizing Geometric Objects
- Donaldson-Thomas Invariants: Invariants Counting Sheaves on Calabi-Yau Manifolds
- Algebraic K-Theory: Study of Algebraic Invariants of Rings and Modules
- Homological Algebra: Study of Homology and Cohomology of Algebraic Structures
- Derived Categories: Categories Arising from Homological Algebra
- Stable Homotopy Theory: Homotopy Theory with Stable Homotopy Groups
- Model Categories: Categories with Certain Homotopical Properties
- Higher Category Theory: Study of Higher Categories and Homotopy Theory
- Higher Topos Theory: Study of Higher Categorical Structures
- Higher Algebra: Study of Higher Categorical Structures in Algebra
- Higher Algebraic Geometry: Study of Higher Categorical Structures in Algebraic Geometry
- Higher Representation Theory: Study of Higher Categorical Structures in Representation Theory
- Higher Category Theory: Study of Higher Categorical Structures
- Homotopical Algebra: Study of Algebraic Structures in Homotopy Theory
- Homotopical Groups: Study of Groups with Homotopical Structure
- Homotopical Categories: Study of Categories with Homotopical Structure
- Homotopy Groups: Algebraic Invariants of Topological Spaces
- Homotopy Type Theory: Study of Foundations of Mathematics Using Homotopy Theory
In conclusion, the world of mathematics is vast and multifaceted, offering endless opportunities for exploration and discovery. Whether delving into the abstract realms of pure mathematics or applying mathematical principles to solve real-world problems, mathematicians play a vital role in advancing human knowledge and shaping the future of our world.
By embracing diverse math research topics and interdisciplinary collaborations, we can unlock new possibilities and harness the power of mathematics to address the challenges of today and tomorrow. So, let’s embark on this journey together as we unravel the mysteries of numbers and explore the boundless horizons of mathematical inquiry.
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181 Mathematics Research Topics From PhD Experts
If you are reading this blog post, it means you are looking for some exceptional math research topics. You want them to be original, unique even. If you manage to find topics like this, you can be sure your professor will give you a top grade (if you write a decent paper, that is). The good news is that you have arrived at just the right place – at the right time. We have just finished updating our list of topics, so you will find plenty of original ideas right on this page. All our topics are 100 percent free to use as you see fit. You can reword them and you don’t need to give us any credit.
And remember: if you need assistance from a professional, don’t hesitate to reach out to us. We are not just the best place for math research topics for high school students; we are also the number one choice for students looking for top-notch research paper writing services.
Our Newest Research Topics in Math
We know you probably want the best and most recent research topics in math. You want your paper to stand out from all the rest. After all, this is the best way to get some bonus points from your professor. On top of this, finding some great topics for your next paper makes it easier for you to write the essay. As long as you know at least something about the topic, you’ll find that writing a great paper or buy phd thesis isn’t as difficult as you previously thought.
So, without further ado, here are the 181 brand new topics for your next math research paper:
Cool Math Topics to Research
Are you looking for some cool math topics to research? We have a list of original topics for your right here. Pick the one you like and start writing now:
- Roll two dice and calculate a probability
- Discuss ancient Greek mathematics
- Is math really important in school?
- Discuss the binomial theorem
- The math behind encryption
- Game theory and its real-life applications
- Analyze the Bernoulli scheme
- What are holomorphic functions and how do they work?
- Describe big numbers
- Solving the Tower of Hanoi problem
Undergraduate Math Research Topics
If you are an undergraduate looking for some research topics for your next math paper, you will surely appreciate our list of interesting undergraduate math research topics:
- Methods to count discrete objects
- The origins of Greek symbols in mathematics
- Methods to solve simultaneous equations
- Real-world applications of the theorem of Pythagoras
- Discuss the limits of diffusion
- Use math to analyze the abortion data in the UK over the last 100 years
- Discuss the Knot theory
- Analyze predictive models (take meteorology as an example)
- In-depth analysis of the Monte Carlo methods for inverse problems
- Squares vs. rectangles (compare and contrast)
Number Theory Topics to Research
Interested in writing about number theory? It is not an easy subject to discuss, we know. However, we are sure you will appreciate these number theory topics:
- Discuss the greatest common divisor
- Explain the extended Euclidean algorithm
- What are RSA numbers?
- Discuss Bézout’s lemma
- In-depth analysis of the square-free polynomial
- Discuss the Stern-Brocot tree
- Analyze Fermat’s little theorem
- What is a discrete logarithm?
- Gauss’s lemma in number theory
- Analyze the Pentagonal number theorem
Math Research Topics for High School
High school students shouldn’t be too worried about their math papers because we have some unique, and quite interesting, math research topics for high school right here:
- Discuss Brun’s constant
- An in-depth look at the Brahmagupta–Fibonacci identity
- What is derivative algebra?
- Describe the Symmetric Boolean function
- Discuss orders of approximation in limits
- Solving Regiomontanus’ angle maximization problem
- What is a Quadratic integral?
- Define and describe complementary angles
- Analyze the incircle and excircles of a triangle
- Analyze the Bolyai–Gerwien theorem in geometry
- Math in our everyday life
Complex Math Topics
If you want to give some complex math topics a try, we have the best examples below. Remember, these topics should only be attempted by students who are proficient in mathematics:
- Mathematics and its appliance in Artificial Intelligence
- Try to solve an unsolved problem in math
- Discuss Kolmogorov’s zero-one law
- What is a discrete random variable?
- Analyze the Hewitt–Savage zero-one law
- What is a transferable belief model?
- Discuss 3 major mathematical theorems
- Describe and analyze the Dempster-Shafer theory
- An in-depth analysis of a continuous stochastic process
- Identify and analyze Gauss-Markov processes
Easy Math Research Paper Topics
Perhaps you don’t want to spend too much time working on your next research paper. Who can blame you? Check out these easy math research paper topics:
- Define the hyperbola
- Do we need to use a calculator during math class?
- The binomial theorem and its real-world applications
- What is a parabola in geometry?
- How do you calculate the slope of a curve?
- Define the Jacobian matrix
- Solving matrix problems effectively
- Why do we need differential equations?
- Should math be mandatory in all schools?
- What is a Hessian matrix?
Logic Topics to Research
We have some interesting logical topics for research papers. These are perfect for students interested in writing about math logic. Pick one right now:
- Discuss the reductio ad absurdum approach
- Discuss Boolean algebra
- What is consistency proof?
- Analyze Trakhtenbrot’s theorem (the finite model theory)
- Discuss the Gödel completeness theorem
- An in-depth analysis of Morley’s categoricity theorem
- How does the Back-and-forth method work?
- Discuss the Ehrenfeucht–Fraïssé game technique
- Discuss Aleph numbers (Aleph-null and Aleph-one)
- Solving the Suslin problem
Algebra Topics for a Research Paper
Would you like to write about an algebra topic? No problem, our seasoned writers have compiled a list of the best algebra topics for a research paper:
- Discuss the differential equation
- Analyze the Jacobson density theorem
- The 4 properties of a binary operation in algebra
- Analyze the unary operator in depth
- Analyze the Abel–Ruffini theorem
- Epimorphisms vs. monomorphisms: compare and contrast
- Discuss the Morita duality in algebraic structures
- Idempotent vs. nilpotent in Ring theory
- Discuss the Artin-Wedderburn theorem
- What is a commutative ring in algebra?
- Analyze and describe the Noetherian ring
Math Education Research Topics
There is nothing wrong with writing about math education, especially if your professor did not give you writing prompts. Here are some very nice math education research topics:
- What are the goals a mathematics professor should have?
- What is math anxiety in the classroom?
- Teaching math in UK schools: the difficulties
- Computer programming or math in high school?
- Is math education in Europe at a high enough level?
- Common Core Standards and their effects on math education
- Culture and math education in Africa
- What is dyscalculia and how does it manifest itself?
- When was algebra first thought in schools?
- Math education in the United States versus the United Kingdom
Computability Theory Topics to Research
Writing about computability theory can be a very interesting adventure. Give it a try! Here are some of our most interesting computability theory topics to research:
- What is a multiplication table?
- Analyze the Scholz conjecture
- Explain exponentiating by squaring
- Analyze the Myhill-Nerode theorem
- What is a tree automaton?
- Compare and contrast the Pushdown automaton and the Büchi automaton
- Discuss the Markov algorithm
- What is a Turing machine?
- Analyze the post correspondence problem
- Discuss the linear speedup theorem
- Discuss the Boolean satisfiability problem
Interesting Math Research Topics
We know you want topics that are interesting and relatively easy to write about. This is why we have a separate list of our most interesting math research topics:
- What is two-element Boolean algebra?
- The life of Gauss
- The life of Isaac Newton
- What is an orthodiagonal quadrilateral?
- Tessellation in Euclidean plane geometry
- Describe a hyperboloid in 3D geometry
- What is a sphericon?
- Discuss the peculiarities of Borel’s paradox
- Analyze the De Finetti theorem in statistics
- What are Martingales?
- The basics of stochastic calculus
Applied Math Research Topics
Interested in writing about applied mathematics? Our team managed to create a list of awesome applied math research topics from scratch for you:
- Discuss Newton’s laws of motion
- Analyze the perpendicular axes rule
- How is a Galilean transformation done?
- The conservation of energy and its applications
- Discuss Liouville’s theorem in Hamiltonian mechanics
- Analyze the quantum field theory
- Discuss the main components of the Lorentz symmetry
- An in-depth look at the uncertainty principle
Geometry Topics for a Research Paper
Geometry can be a very captivating subject, especially when you know plenty about it. Check out our list of geometry topics for a research paper and pick the best one today:
- Most useful trigonometry functions in math
- The life of Archimedes and his achievements
- Trigonometry in computer graphics
- Using Vincenty’s formulae in geodesy
- Define and describe the Heronian tetrahedron
- The math behind the parabolic microphone
- Discuss the Japanese theorem for concyclic polygons
- Analyze Euler’s theorem in geometry
Math Research Topics for Middle School
Yes, even middle school children can write about mathematics. We have some original math research topics for middle school right here:
- Finding critical points in a graph
- The basics of calculus
- What makes a graph ultrahomogeneous?
- How do you calculate the area of different shapes?
- What contributions did Euclid have to the field of mathematics?
- What is Diophantine geometry?
- What makes a graph regular?
- Analyze a full binary tree
Math Research Topics for College Students
As you’ve probably already figured out, college students should pick topics that are a bit more complex. We have some of the best math research topics for college students right here:
- What are extremal problems and how do you solve them?
- Discuss an unsolvable math problem
- How can supercomputers solve complex mathematical problems?
- An in-depth analysis of fractals
- Discuss the Boruvka’s algorithm (related to the minimum spanning tree)
- Discuss the Lorentz–FitzGerald contraction hypothesis in relativity
- An in-depth look at Einstein’s field equation
- The math behind computer vision and object recognition
Calculus Topics for a Research Paper
Let’s face it: calculus is not a very difficult field. So, why don’t you pick one of our excellent calculus topics for a research paper and start writing your essay right away:
- When do we need to apply the L’Hôpital rule?
- Discuss the Leibniz integral rule
- Calculus in ancient Egypt
- Discuss and analyze linear approximations
- The applications of calculus in real life
- The many uses of Stokes’ theorem
- Discuss the Borel regular measure
- An in-depth analysis of Lebesgue’s monotone convergence theorem
Simple Math Research Paper Topics for High School
This is the place where you can find some pretty simple topics if you are a high school student. Check out our simple math research paper topics for high school:
- The life and work of the famous Pierre de Fermat
- What are limits and why are they useful in calculus?
- Explain the concept of congruency
- The life and work of the famous Jakob Bernoulli
- Analyze the rhombicosidodecahedron and its applications
- Calculus and the Egyptian pyramids
- The life and work of the famous Jean d’Alembert
- Discuss the hyperplane arrangement in combinatorial computational geometry
- The smallest enclosing sphere method in combinatorics
Business Math Topics
If you want to surprise your professor, why don’t you write about business math? We have some exceptional topics that nobody has thought about right here:
- Is paying a loan with another loan a good approach?
- Discuss the major causes of a stock market crash
- Best debt amortization methods in the US
- How do bank loans work in the UK?
- Calculating interest rates the easy way
- Discuss the pros and cons of annuities
- Basic business math skills everyone should possess
- Business math in United States schools
- Analyze the discount factor
Probability and Statistics Topics for Research
Probability and statistics are not easy fields. However, you can impress your professor with one of our unique probability and statistics topics for research:
- What is the autoregressive conditional duration?
- Applying the ANOVA method to ranks
- Discuss the practical applications of the Bates distribution
- Explain the principle of maximum entropy
- Discuss Skorokhod’s representation theorem in random variables
- What is the Factorial moment in the Theory of Probability?
- Compare and contrast Cochran’s C test and his Q test
- Analyze the De Moivre-Laplace theorem
- What is a negative probability?
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100 Interesting Research Paper Topics for High Schoolers
What’s covered:, how to pick the right research topic, elements of a strong research paper.
- Interesting Research Paper Topics
Composing a research paper can be a daunting task for first-time writers. In addition to making sure you’re using concise language and your thoughts are organized clearly, you need to find a topic that draws the reader in.
CollegeVine is here to help you brainstorm creative topics! Below are 100 interesting research paper topics that will help you engage with your project and keep you motivated until you’ve typed the final period.
A research paper is similar to an academic essay but more lengthy and requires more research. This added length and depth is bittersweet: although a research paper is more work, you can create a more nuanced argument, and learn more about your topic. Research papers are a demonstration of your research ability and your ability to formulate a convincing argument. How well you’re able to engage with the sources and make original contributions will determine the strength of your paper.
You can’t have a good research paper without a good research paper topic. “Good” is subjective, and different students will find different topics interesting. What’s important is that you find a topic that makes you want to find out more and make a convincing argument. Maybe you’ll be so interested that you’ll want to take it further and investigate some detail in even greater depth!
For example, last year over 4000 students applied for 500 spots in the Lumiere Research Scholar Program , a rigorous research program founded by Harvard researchers. The program pairs high-school students with Ph.D. mentors to work 1-on-1 on an independent research project . The program actually does not require you to have a research topic in mind when you apply, but pro tip: the more specific you can be the more likely you are to get in!
Introduction
The introduction to a research paper serves two critical functions: it conveys the topic of the paper and illustrates how you will address it. A strong introduction will also pique the interest of the reader and make them excited to read more. Selecting a research paper topic that is meaningful, interesting, and fascinates you is an excellent first step toward creating an engaging paper that people will want to read.
Thesis Statement
A thesis statement is technically part of the introduction—generally the last sentence of it—but is so important that it merits a section of its own. The thesis statement is a declarative sentence that tells the reader what the paper is about. A strong thesis statement serves three purposes: present the topic of the paper, deliver a clear opinion on the topic, and summarize the points the paper will cover.
An example of a good thesis statement of diversity in the workforce is:
Diversity in the workplace is not just a moral imperative but also a strategic advantage for businesses, as it fosters innovation, enhances creativity, improves decision-making, and enables companies to better understand and connect with a diverse customer base.
The body is the largest section of a research paper. It’s here where you support your thesis, present your facts and research, and persuade the reader.
Each paragraph in the body of a research paper should have its own idea. The idea is presented, generally in the first sentence of the paragraph, by a topic sentence. The topic sentence acts similarly to the thesis statement, only on a smaller scale, and every sentence in the paragraph with it supports the idea it conveys.
An example of a topic sentence on how diversity in the workplace fosters innovation is:
Diversity in the workplace fosters innovation by bringing together individuals with different backgrounds, perspectives, and experiences, which stimulates creativity, encourages new ideas, and leads to the development of innovative solutions to complex problems.
The body of an engaging research paper flows smoothly from one idea to the next. Create an outline before writing and order your ideas so that each idea logically leads to another.
The conclusion of a research paper should summarize your thesis and reinforce your argument. It’s common to restate the thesis in the conclusion of a research paper.
For example, a conclusion for a paper about diversity in the workforce is:
In conclusion, diversity in the workplace is vital to success in the modern business world. By embracing diversity, companies can tap into the full potential of their workforce, promote creativity and innovation, and better connect with a diverse customer base, ultimately leading to greater success and a more prosperous future for all.
Reference Page
The reference page is normally found at the end of a research paper. It provides proof that you did research using credible sources, properly credits the originators of information, and prevents plagiarism.
There are a number of different formats of reference pages, including APA, MLA, and Chicago. Make sure to format your reference page in your teacher’s preferred style.
- Analyze the benefits of diversity in education.
- Are charter schools useful for the national education system?
- How has modern technology changed teaching?
- Discuss the pros and cons of standardized testing.
- What are the benefits of a gap year between high school and college?
- What funding allocations give the most benefit to students?
- Does homeschooling set students up for success?
- Should universities/high schools require students to be vaccinated?
- What effect does rising college tuition have on high schoolers?
- Do students perform better in same-sex schools?
- Discuss and analyze the impacts of a famous musician on pop music.
- How has pop music evolved over the past decade?
- How has the portrayal of women in music changed in the media over the past decade?
- How does a synthesizer work?
- How has music evolved to feature different instruments/voices?
- How has sound effect technology changed the music industry?
- Analyze the benefits of music education in high schools.
- Are rehabilitation centers more effective than prisons?
- Are congestion taxes useful?
- Does affirmative action help minorities?
- Can a capitalist system effectively reduce inequality?
- Is a three-branch government system effective?
- What causes polarization in today’s politics?
- Is the U.S. government racially unbiased?
- Choose a historical invention and discuss its impact on society today.
- Choose a famous historical leader who lost power—what led to their eventual downfall?
- How has your country evolved over the past century?
- What historical event has had the largest effect on the U.S.?
- Has the government’s response to national disasters improved or declined throughout history?
- Discuss the history of the American occupation of Iraq.
- Explain the history of the Israel-Palestine conflict.
- Is literature relevant in modern society?
- Discuss how fiction can be used for propaganda.
- How does literature teach and inform about society?
- Explain the influence of children’s literature on adulthood.
- How has literature addressed homosexuality?
- Does the media portray minorities realistically?
- Does the media reinforce stereotypes?
- Why have podcasts become so popular?
- Will streaming end traditional television?
- What is a patriot?
- What are the pros and cons of global citizenship?
- What are the causes and effects of bullying?
- Why has the divorce rate in the U.S. been declining in recent years?
- Is it more important to follow social norms or religion?
- What are the responsible limits on abortion, if any?
- How does an MRI machine work?
- Would the U.S. benefit from socialized healthcare?
- Elderly populations
- The education system
- State tax bases
- How do anti-vaxxers affect the health of the country?
- Analyze the costs and benefits of diet culture.
- Should companies allow employees to exercise on company time?
- What is an adequate amount of exercise for an adult per week/per month/per day?
- Discuss the effects of the obesity epidemic on American society.
- Are students smarter since the advent of the internet?
- What departures has the internet made from its original design?
- Has digital downloading helped the music industry?
- Discuss the benefits and costs of stricter internet censorship.
- Analyze the effects of the internet on the paper news industry.
- What would happen if the internet went out?
- How will artificial intelligence (AI) change our lives?
- What are the pros and cons of cryptocurrency?
- How has social media affected the way people relate with each other?
- Should social media have an age restriction?
- Discuss the importance of source software.
- What is more relevant in today’s world: mobile apps or websites?
- How will fully autonomous vehicles change our lives?
- How is text messaging affecting teen literacy?
Mental Health
- What are the benefits of daily exercise?
- How has social media affected people’s mental health?
- What things contribute to poor mental and physical health?
- Analyze how mental health is talked about in pop culture.
- Discuss the pros and cons of more counselors in high schools.
- How does stress affect the body?
- How do emotional support animals help people?
- What are black holes?
- Discuss the biggest successes and failures of the EPA.
- How has the Flint water crisis affected life in Michigan?
- Can science help save endangered species?
- Is the development of an anti-cancer vaccine possible?
Environment
- What are the effects of deforestation on climate change?
- Is climate change reversible?
- How did the COVID-19 pandemic affect global warming and climate change?
- Are carbon credits effective for offsetting emissions or just marketing?
- Is nuclear power a safe alternative to fossil fuels?
- Are hybrid vehicles helping to control pollution in the atmosphere?
- How is plastic waste harming the environment?
- Is entrepreneurism a trait people are born with or something they learn?
- How much more should CEOs make than their average employee?
- Can you start a business without money?
- Should the U.S. raise the minimum wage?
- Discuss how happy employees benefit businesses.
- How important is branding for a business?
- Discuss the ease, or difficulty, of landing a job today.
- What is the economic impact of sporting events?
- Are professional athletes overpaid?
- Should male and female athletes receive equal pay?
- What is a fair and equitable way for transgender athletes to compete in high school sports?
- What are the benefits of playing team sports?
- What is the most corrupt professional sport?
Where to Get More Research Paper Topic Ideas
If you need more help brainstorming topics, especially those that are personalized to your interests, you can use CollegeVine’s free AI tutor, Ivy . Ivy can help you come up with original research topic ideas, and she can also help with the rest of your homework, from math to languages.
Disclaimer: This post includes content sponsored by Lumiere Education.
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