Mathematics research topics Topics include Algebra and Number (proof), Geometry, Calculus, Statistics and Probability, Physics, and links with other subjects. This page will be updated as new articles Sep 18, 2024 · Discover the latest research topics and innovative areas in mathematics, from core disciplines to emerging fields like data science and machine learning. 2025 Participants and Topics PDF of Abstracts2024 Participants and Topics What topics/fields of research would you say are easier for the typical math undergraduate to assist on/participate in? Particularly, what topics are accessible at which levels, eg. Looking for Research Proposals on Mathematics and ideas? Get them here for free! We have collected dozens of previously unpublished examples in one place. Our teacher requires us to provide a topic based on applied math, using math concepts to solve real-world problems. Department of Mathematics,IIT Bombay Research in mathematics education is defined as an interdisciplinary field dedicated to examining and improving the processes, institutions, and practices involved in school mathematics education, focusing on the acquisition and development of mathematical knowledge, skills, beliefs, and attitudes. Topics of interest include set theory, set theoretic topology, recursion theory, models of Peano arithmetic, reverse mathematics, inductive inference, automata theory and formal languages, information theory and performance modeling. Bourdon: My research interests lie in arithmetic geometry, which is a field in the intersection of algebraic geometry and number theory. ly/educ-flow In this list, we bring MATHS RESEARCH TOPICS. The Mathematics Education Project topics below are purely for Undergraduates and Postgraduates in various tertiary institutions all over the world. From pure mathematics to applied fields that will fuel your passion. The sole aim of choosing well-defined research topics is to clearly articulate the study plan, receive constructive input from a supervisor, and secure approval to This subreddit is for discussion of mathematics. Mathematics thesis topics We offer a vibrant and supportive environment for postgraduate research in Mathematics. Apr 1, 2012 · This special issue consists of a few selected topics of research in computational mathematics from a prominent group of young researchers. In Research Mathematics at MIT is administratively divided into two categories: Pure Mathematics and Applied Mathematics. Today, join us on a journey to discover trending and hot dissertation, thesis, and research topics for 2024 in Mathematics. Title: Mathematics of interacting particles with applications to biology, physics, computation, and machine learning Description: The course provides research opportunities in applied analysis and computational mathematics. The need to consider models involving randomness at various scales or in high-dimensions have peculiar difficulties and opportunities which allow to develop mathematical theories Pure Mathematics Research Pure Mathematics Fields The E 8 Lie group Algebra & Algebraic Geometry Algebraic Topology Analysis & PDEs Geometry & Topology Mathematical Logic & Foundations Number Theory Probability & Statistics Representation Theory Pure Math Committee The department maintains active research in fundamental methods of applied mathematics. Also See: 310+ Physics Seminar and Presentation Topics Introduction: Mathematics plays a crucial role in various aspects of medical and clinical sciences, as well as in physical fitness. Trending Topic Research File Science, Technology Engineering, and Mathematics (STEM) is one of the most talked about topics in education, emphasizing research, problem solving, critical thinking, and creativity. All topics are Sample Research Topics in Mathematics - Free download as Word Doc (. txt) or read online for free. Dr. Perfect for thesis, dissertations, and academic papers! In applied mathematics, we look for important connections with other disciplines that may inspire interesting and useful mathematics, and where innovative mathematical reasoning may lead to new insights and applications. The topics listed below provide the basis for final year scholarly investigations. Department members engage in cutting-edge research on a wide variety of topics in mathematics and its applications. 1 2 3 San Bernardino, California, United States Mathematics Theses, Projects, and Dissertations View Larger Research in Applied Mathematics has changed dramatically over the past 30 years, with revolutionary developments in traditional areas, together with the emergence of exciting new areas. Oct 9, 2019 · Follow writing tips from expert writers and choose the best research paper topics about math from our extensive list to make a high grade. Number Theory In number theory, you Jan 18, 2025 · Need mathematics essay topics to research & write a paper about? Here you’ll find a collection of top math essay examples & research ideas. 530 Applied Mathematics I and 92. Research Topics Topological Dynamics Symbolic Dynamics Ergodic Theory Infinite Dimensional Dynamics Nonlinear Dynamics Mathematics and Statistics Proposal Topics are academic research subjects formulated by students to tackle real-world problems requiring solutions. pdf), Text File (. Important topics/questions in this area of research include existence and uniqueness of solutions, Stability, Stationarity, Stochastic flows, Stochastic Filtering theory and Stochastic Control Theory, to name a few. Here, you will get 110 unique research ideas on various math disciplines. Aug 29, 2025 · Here are some topics suggested by your teacher: • History of perfect numbers from Euclid to the day before yesterday • The influence of social needs on the uses of mathematics • History of the binomial theorem • The quadratic equation • An insight into Islamic mathematics • Goldbach and his famous conjecture • The history of logarithms and logarithm tables • Geometrical Hi! I'm currently a grade 11 senior high school student studying in the Philippines, and we've been having difficulty finding a research topic for our practical mathematics research subject. From cutting-edge technology to sustainability, find inspiration for your next STEM research project. This interactive dashboard visualizes topic modeling results from thousands of recent mathematics papers, helping researchers and students discover emerging areas and popular research directions. The teams typically consist of 3-4 students. Our materials are well researched with latest literature review from chapters 1 to 5 Dynamical Systems at UWM We offer three courses in Dynamics: Math 581, 781, 881. Lists cover aspects of basic and advanced mathematics Mathematics Project Topics and Materials Download Mathematics Research Project Topics and Materials. Mathematical Research areas University of Waterloo faculty members affiliated with the Centre for Computational Mathematics carry out leading research in Computational Mathematics on the global stage, supervise Master's students on their research projects, and teach a large number of exciting Computational Mathematics classes. Applied Mathematics Research In applied mathematics, we look for important connections with other disciplines that may inspire interesting and useful mathematics, and where innovative mathematical reasoning may lead to new insights and applications. Research Topics Topological Dynamics Symbolic Dynamics Ergodic Theory Infinite Dimensional Dynamics Nonlinear Dynamics From basic research in such core areas as optimization, partial differential equations, and system software for extreme-scale computing to exploration of artificial intelligence, MCS researchers have a common goal: providing the tools and technology needed to tackle challenging science and engineering problems of critical importance in the 21st century. Think about which mathematical topics can inspire your passion. Here are the top 10 math research project ideas! Introduction: Mathematics plays a crucial role in various aspects of medical and clinical sciences, as well as in physical fitness. You may be given a list of possible topics or to Mathematics Thesis and Dissertation Topics, Proposal Topics, Journals, Presentations, Seminar Topics, Research Papers, and Project Reports can also be gotten from this page. Most topics involve some kind of discrete object, which may be a graph or hypergraph, a permutation, a Latin square or geometric objects. Seek help with a research proposal for mathematics? Check this to gain best expert insights on writing structure, a ready-made example & even some topic ideas! May 2, 2024 · If you're a student looking for an advanced challenge, math research might be right up your alley. These are notes on various topics in applied mathematics, designed to sup-plement the text for the courses 92. With numerous unsolved problems and interesting patterns to explore, these fields provide excellent opportunities for delving into abstract structures and mathematical proofs. Nov 11, 2024 · 45 BEST MATHS RESEARCH TOPICS FOR 2025. Oct 1, 2023 · Are you passionate about numbers, calculations and mathematical concepts? Take on a research project focused on math! Get inspired by these topics! Mar 29, 2025 · MSC maths project topics help students connect what they learn in class with real-world problems. Our commitment to innovative and impactful research fosters the development of ideas that contribute significantly to various fields, from theoretical investigations to practical applications. Applied Mathematics Faculty and students interested in the applications of mathematics are an integral part of the Department of Mathematics; there is no formal separation between pure and applied mathematics, and the Department takes pride in the many ways in which they enrich each other. An official journal of the National Council of Teachers of Mathematics (NCTM), JRME is the premier research journal in mathematics education and is devoted to the interests of teachers and researchers at all levels--preschool through college. For me, this means studying the arithmetic properties of objects coming from algebraic geometry. ly/Educ-Help or https://bit. Topics continually evolve to reflect emerging interests and developments, but can roughly grouped into the following areas. Many students are always stuck on what topic to write about. com Applied mathematics is a dynamic discipline that bridges theoretical rigor with practical applications across diverse sectors, including science, engineering, finance, and technology. I know as an undergrad I don’t need to About this book Mathematics research opportunities for undergraduate students have grown significantly in recent years, but accessible research topics for first- and second-year students with minimal experience beyond high school mathematics are still hard to find. Feb 7, 2024 · Top 10 Trending Mathematics Research Topics for 2024. Hello all! I’m an undergraduate math major. The analysis uses advanced natural language processing to Jul 23, 2019 · Mathematics Research Paper Topics. Applications are now open for the 2026 iteration of Williams’ SMALL REU in Mathematics! This is a summer research program where a mix of Williams and non-Williams students work with math faculty on new and exciting problems. Looking for math research topics for your academic papers and essays? If so, here are research topics in math for different educational levels Do you need help writing your math paper? Here are top 50 math research topics to select based on your education level and write an impressive assignment. Additionally we run seminars and topics courses in Dynamics. com - look for the list 496 Top Mathematics Research Paper Ideas 2025. Find here top MSc Mathematics project topics ideas and best tips for success. Explore unique and exciting math research topics for high school and college students. What Makes a Great Research Topic in Mathematics? Ask […] See full list on thesisrush. Dec 19, 2024 · This blog will offer readers more than 70 different MSc Mathematics project topics across pure mathematics, applied mathematics, computational mathematics, financial mathematics, data science, machine learning, and many more. Potential student research topics by faculty memberProjects are listed by faculty member. Maths IA – 300 Maths Exploration Topics: Scroll down this page to find over 300 examples of maths IA exploration topics and ideas for IB mathematics students doing their internal assessment (IA) coursework. Topics range from abstract algebra and topology to applied fields like cryptography, machine learning, and optimization. … Continue reading More → Pure Mathematics Research Pure Mathematics Fields The E 8 Lie group Algebra & Algebraic Geometry Algebraic Topology Analysis & PDEs Geometry & Topology Mathematical Logic & Foundations Number Theory Probability & Statistics Representation Theory Pure Math Committee The interests of the research group lie at the intersection between analysis and probability, with motivations coming from various other areas of science, ranging from physics to finance and data-science or biology. Machine learning, financial mathematics, and game theory: Deep learning algorithms and theory for stochastic differential games; mean-field portfolio games; portfolio optimization; and optimal switching problems; systemic risk and central counterparty. Nov 8, 2025 · Completing a mathematics research project allows you to explore real-world applications of mathematical concepts. This semester I am starting a thesis for the College of Honors in the field of mathematics at my school. Apr 7, 2025 · Explore our trending STEM topics and follow our easy guide to selecting the perfect and interesting STEM ideas. Research Areas The Department aims to promote close collaboration between various mathematical disciplines and with other applied areas. Mar 1, 2025 · Here is a list of recent undergraduate research projects. So, let us embark on this exploration of math research topics together, where new ideas, connections, and insights await. They comprise the following research areas: Pure Mathematics Algebra & Algebraic Geometry Algebraic Topology Analysis & PDEs Geometry Mathematical Logic & Foundations Number Theory Probability & Statistics Representation Theory Applied Mathematics In applied mathematics, we Math research topics were collected by our best Math experts just for you ☑️ Select the topic you like and ace your performance at this subject. Hi! I'm currently a grade 11 senior high school student studying in the Philippines, and we've been having difficulty finding a research topic for our practical mathematics research subject. We accept submissions of original research articles and literature review articles from undergraduate students. So, check out our list of 100 ideas for research projects in mathematics to find inspiration. Mar 2, 2024 · Dive into the world of 251+ math research topics, from pure mathematics to applied fields, uncovering real-world applications. Applied mathematics at the Stanford Department of Mathematics focuses, very broadly, on the areas of scientific computing, stochastic modeling, and applied analysis. Sep 23, 2025 · Discover 200 research paper topics in mathematics, covering algebra, calculus, number theory, geometry, and applied math. This can include developing the fundamental tools used by Here, we have compiled a list of over 20 math research topics for high school students. We make sure that your research is practical and feasible. These areas use differential equations, probability, and statistics to solve practical problems. Before/after real analysis, before/after abstract algebra, etc. Algebraic Lists of mathematics topics cover a variety of topics related to mathematics. Math research is a dynamic and ever-evolving field, and by engaging in it, you become part of a vibrant community of mathematicians pushing the boundaries of knowledge. 4 days ago · Pure mathematics uses mathematics to explore abstract ideas, mathematics that does not necessarily describe a real physical system. Jul 16, 2025 · This blog suggests a list of 220 unique math research topics on various themes. The curated topics span critical subfields, offering students a foundation for impactful thesis research. topicsmill. The following compendium of open-access articles are inclusive of all substantive AERA journal content regarding STEM published since 1969. This field's adaptability and broad applicability are demonstrated in our commitment to examine and promote mathematical Research in pattern theory seeks to develop models of complex systems and statistical methods and algorithms for the interpretation of high-dimensional data. Mathematics Education Proposal Topics are academic research subjects formulated by students to tackle real-world problems requiring solutions. Thus, choosing a project topic is an PDF HILBERT SPACES AND FOURIER SERIES, Terri Joan Harris Mrs. Research includes mathematical analysis, partial differential equations, numerical analysis, applied probability, dynamical systems, multiscale modeling, high performance scientific computation, and numerical optimization with applications in optics and photonics, material science, machine learning, data science, imaging science, biology, and climate modeling, to name a few. These 70 research paper topics on math will help you make your choice Right Research is very essential in writing a PhD research proposal in mathematics as your paper will rely on researched data and related literature topics. Oct 22, 2025 · A "math literature review" is a comprehensive survey of existing research and publications on a specific mathematical topic. May 6, 2025 · Are you looking for the best math research topics? Check this blog. The sole aim of choosing well-defined research topics is to clearly articulate the study plan, receive constructive input from a supervisor, and secure approval to move Mathematics, Pure and Applied Math | Explore the latest full-text research PDFs, articles, conference papers, preprints and more on MATHEMATICS. Time is important in writing research in mathematics as you will be brainstorming and studying your topic. This section offers a well-organized and extensive list of 1000 computer science thesis topics, designed to illuminate diverse pathways for academic inquiry and innovation. Need help with your project? Visit 👉 https://bit. Math 581 is generally taught at the undergraduate/graduate level Math 781 at the Masters level, and Math 881 at the Doctoral level. Find methods information, sources, references or Applied Mathematics has become pivotal in tackling intricate real-world challenges, offering innovative solutions across technological, scientific, and industrial landscapes. We would like to show you a description here but the site won’t allow us. Sep 10, 2024 · Advancing number theory with innovative math research, paving the way for breakthroughs in cryptography and computational algorithms. Research in mathematics education is defined as an interdisciplinary field dedicated to examining and improving the processes, institutions, and practices involved in school mathematics education, focusing on the acquisition and development of mathematical knowledge, skills, beliefs, and attitudes. Get inspired with us! Math Research Compass analyzes ArXiv preprints to identify trending research topics across mathematical subfields from the past 5 years. Professor Renato Feres (Geometry) Some of following problems are meant to introduce you to advanced but well-established topics in graduate level math, others are much more open ended and may lead to original results. doc / . Pattern theory research is also typically interdisciplinary; it includes collaborations with computer scientists, engineers, cognitive and neural scientists, and molecular biologists. May 17, 2025 · Math Research Topics for STEM Students Math research is the methodical study of numerical relationships, patterns, and structures to get a better understanding of the fundamental principles that govern the universe. Whether your interest lies in the emerging trends of artificial intelligence or the . We had a few friends last year that worked on linear regression and its applications in I am finishing high school and my primary subject is math, so I have to choose a topic for my research paper! What are some topics that are really good, like they are that good that you would spend hours exploring about it? May 1, 2025 · Explore 350+ physics research topics suggested by experts to help you choose the perfect subject for your paper and boost your academic success. Lamp PDF Simple Groups and Related Topics, Manal Abdulkarim Marouf Ms. 531 Applied Mathematics II. In the field of medical and clinical sciences, mathematics contributes to advancements in research, diagnosis, treatment, and healthcare management. These methods can be broadly applied to a vast number of problems in the engineering, physical and biological sciences. See here for more information on the program, and on the research groups that are running in 2026. Find methods information, sources, references or Sep 12, 2024 · "The Journal of Young Investigators is dedicated to representing undergraduate research in biological/biomedical sciences, physical sciences, mathematics and engineering, psychology and social sciences. The computational mathematics research of our faculty has applications in data analysis and signal processing, fluid and solid mechanics, electronic structure theory, biological networks, and many other topics. Hochschild and cyclic cohomology. For example, some interesting research topics in mathematical modelling include disease modelling, climate modelling, and financial mathematics. Mathematicial Modelling | Explore the latest full-text research PDFs, articles, conference papers, preprints and more on FINANCIAL MATHEMATICS. I have struggled the whole semester in trying to find a topic to write on and how to find sources on the topic. Aug 1, 2024 · How to find a suitable mathematical research focus for high school students? As the cornerstone of the scientific field, mathematics provides a variety of exploration paths, allowing you to choose a variety of different paths in the mathematics passion project. PDF SYMMETRIC PRESENTATIONS OF NON-ABELIAN SIMPLE GROUPS, Leonard B. MP is an alias for math-ph. The areas of current research are: Algebra and Number Theory Algebraic Geometry and Noncommutative Geometry (Abhishek Banerjee, Amalendu Krishna) Schemes over symmetric monoidial categories, bivariant Chow theory. Pure math topics include abstract algebra, studying numbers, and shapes. From the list, choose any topic and create your math thesis. math. All Mathematics Education Project Materials Listed on this Research Page have their Complete work from Chapters 1 to 5 which are: Title Page and the Case Study, Table Of Contents, Abstract, the Background of the Study, Statement of the Problem Everything you need to know about a PhD in Mathematics - from average tuition fees and programme durations to career prospects and specific application tips. The template below includes links to alphabetical lists of all mathematical articles. Research areas University of Waterloo faculty members affiliated with the Centre for Computational Mathematics carry out leading research in Computational Mathematics on the global stage, supervise Master's students on their research projects, and teach a large number of exciting Computational Mathematics classes. This article brings together the same content organized in a manner better suited for browsing. math This subreddit is for discussion of mathematics. Some of these lists link to hundreds of articles; some link only to a few. The topics are both interesting and approachable at the high school level. May 2, 2024 · If you're a student looking for an advanced challenge, math research might be right up your alley. I know as an undergrad I don’t need to Professor Al Baernstein (Analysis) I can direct a project involving random walks or related stochastic processes. The themes can be summarized as teaching approaches, goals, relations to practices outside mathematics education, teacher professional development Jan 31, 2022 · Looking for a comprehensive list of interesting research topics for kids? This list includes engaging and fun science and social studies research ideas. Theoretical Computer Science & Discrete Mathematics Research topics In our research group we investigate a variety of topics. Overview of MSc Mathematics Project Topics MSc Mathematics projects cover many different topics in pure and applied math. When available, we have added images that give you a flavor of some of the topics studied. Here are the top 10 math research project ideas! Nov 22, 2024 · Mathematics seminars provide a platform to explore diverse topics, from pure mathematical theories to real-world applications. Some are more "theoretical" while others invite you to do some About this book Mathematics research opportunities for undergraduate students have grown significantly in recent years, but accessible research topics for first- and second-year students with minimal experience beyond high school mathematics are still hard to find. The main element of the course is the semester-long team research project. Whether studying pure math, math used in other subjects, or both, these projects challenge students to solve tough math problems and share new ideas. These projects let students explore special areas of math and improve their research and thinking skills. Explore research on applied mathematics and statistics, driving innovation in science, engineering, finance, and data science. 3 days ago · Explore a wide range of recent research in mathematics. These projects let students explore their interests, add to math knowledge, and develop research skills. Mathematical We would like to show you a description here but the site won’t allow us. All posts and comments should be directly related to mathematics, including topics related to the practice, profession and community of mathematics. List of questions on algebra, geometry, trigonometry etc. Research Topics 101+ Psychology Research Topics With Examples Leave a Comment / Research Topics / Miller Looking for exciting algebra topics for research papers? If so, consider this list of the best topics in algebra and pick one for your project. It involves summarizing, analyzing, and synthesizing the findings from various sources to provide an overview of the current state of knowledge in that area. Please contact faculty members directly for further information. For high school students interested in mathematics, we’ve compiled a list of 8 project ideas to help get you started. MATHEMATICS FREE PROJECT TOPICS AND RESEARCH MATERIALS FOR FINAL YEAR STUDENTS, Download Free Recent Research Project Topics And Materials For Final Year Students. " Published monthly. May 30, 2025 · Check our math research topics for an A+ paper! Pick among algebra, calculus, or geometry ideas & see interesting math topics for college and school. Choosing the right EPQ or dissertation topic could guide you toward a rewarding career in mathematics. Essential to this research is access to Nov 7, 2025 · Publishes research and review articles in applied & interdisciplinary mathematics, pure mathematics, mathematics education, and other relevant fields. Algebra, Combinatorics, and Geometry Algebra, combinatorics, and geometry are areas of very active research at the University of Pittsburgh. Good Topics for Mathematics Research Papers A mathematics research paper is an extremely intricate task that requires immense concentration, planning and naturally clear basic knowledge of mathematics, but what is essential for a higher level research is the successful choice of a topic, matching your personal interests and level of competence. Who's who in algebra Find out more about Searching for math dissertation topics? Find research-worthy ideas that cover algebra, calculus, statistics, and applied mathematics for academic success! Feb 18, 2025 · Pure Mathematics Research Topics Algebra, Number Theory, and Combinatorics The study of algebra, number theory, and combinatorics offers a fertile ground for undergraduate research. Even though math rarely deals with words, students in high school and colleges are sometimes tasked with researching math topics. From mathematical modeling to why some people have difficulty learning math, read all the math-related news here. docx), PDF File (. Mar 10, 2025 · Algebraic techniques are of central importance in modern mathematics. Nov 13, 2025 · Mathematics and computing articles from across Nature Portfolio Mathematics and computing is the study and analysis of abstract concepts, such as numbers and patterns. Here, you’ll find ideas across key categories such as statistics, number theory, geometry, and applied mathematics. Apr 6, 2021 · Before the pandemic (2019), we asked: On what themes should research in mathematics education focus in the coming decade? The 229 responses from 44 countries led to eight themes plus considerations about mathematics education research itself. Department of Mathematics,IIT Bombay Research Starters in Mathematics Explore our comprehensive collection of research articles in this subject area, providing reliable context and citations for your research projects. Click on any of the following topics to access its full content! May 16, 2022 · Mathematics is a unique area of study that deals with numbers, structures, shapes, quantities, and formulas. It is very important to find good research topics in mathematics education. As such the algebra group sits naturally among a number of major research topics in the department, with connections to geometric topology via group theory, homotopy theory and number theory through representation theory, and algebraic geometry through geometric representation theory. Articles in this category focus on areas of research that illustrate the application of mathematics to problems in physics, develop mathematical methods for such applications, or provide mathematically rigorous formulations of existing physical theories. They spark curiosity and foster collaboration among students, researchers, and professionals. In this article, you will learn exciting math topics and the different branches of mathematics Oct 16, 2023 · Best mathematics research topics & ideas 2023 for high school and college students. 1000 Computer Science Thesis Topics and Ideas Embarking on a thesis in computer science opens up a world of possibilities and challenges. Dec 17, 2024 · Explore engaging mathematics research topics for students at every level, from high school to PhD, to inspire your next research paper. One of my professors suggested finding a topic I like and writing about its applications. nem xobu shek zzsexie ahzkbs txn awgce gkpfe arwwe rewqq llvtaoow vzclz lruru fsxt fnxc