Phd in mathematics topics. Degree Requirements A candidate for the Ph.

Phd in mathematics topics Each year, we have extremely motivated and talented students among our new Ph. 2025 Anthony Agwu (E. If you have any questions about Drexel's Master of Science in Mathematics program, please contact gradcoas@drexel. There are regular seminars on topics in algebra, algebraic geometry, analysis, combinatorial group theory, dynamical systems, fluid mechanics, logic, mathematical physics, number theory, topology, and other applied and computational mathematics. Hochschild and cyclic cohomology. Applied mathematics at the Stanford Department of Mathematics focuses, very broadly, on the areas of scientific computing, stochastic modeling, and applied analysis. 200 Applied Mathematics Thesis Topics and Ideas The selection of a thesis topic is a pivotal step for students pursuing advanced studies in applied mathematics, shaping their academic journey and contributions to the field. The graduate program in Applied & Computational Mathematics comprises the study and application of mathematics to problems motivated by a wide range of application domains. ) in Mathematics Presentation Free Google Slides theme, PowerPoint template, and Canva presentation template Unravel the complexities of advanced algebra with a math-oriented template. To date, the department has awarded over 800 PhD degrees. Explore advanced courses, research opportunities, and shape your mathematical expertise. Mathematics is the program of choice for students who wish to pursue a career in a mathematical research field. Gepner)Mixed Characteristic Aspects of the Langlands Program Chutian Ma (B. Philosophy graduate students doing the MSIM degree or the joint PhD are expected to complete ten total courses in mathematics, but up to four of them can be mathematics-intensive courses outside the mathematics department. Some of these lists link to hundreds of articles; some link only to a few. The primary mission of our graduate programs is to educate and train mathematics students to become outstanding research scientists, educators and leaders in the scientific community. Required Courses Students are required to complete coursework in three areas: Mathematics Education, Mathematics, and Supporting Areas. Opportunities for PhD research are available in a wide range of topics in Mathematics . The template below includes links to alphabetical lists of all mathematical articles. The skills Ph. Bareis, whose dissertation was directed by Professor Harry W. It analyzes The Applied Mathematics Research Group works on a wide variety of topics in a range of areas such as fluid mechanics, mathematical biology, financial mathematics and computational mathematics. It offers students the opportunity to work with faculty on research over a wide range of theoretical and applied topics. Admission is limited and highly selective. programme has been discontinued as of 2013. program also offers students the opportunity to pursue their study and research with Mathematics faculty based at NYU Shanghai. During their first year in the program, students typically engage in coursework and seminars which prepare them for the Qualifying Examinations. candidates who, we are proud to say, will become the next generation of leading researchers in their fields. Study at the University of Warwick's Mathematics Institute, an international centre of research excellence, ranked 3rd for research power and 3rd for the number of 4* research outputs in REF 2021 (amongst UK universities). topic in mathematics that helps them bring original ideas and research. Ph. A good topic is not only a personal interest area but also a subject that can contribute new knowledge to the mathematical community. Sep 25, 2017 · PhD in Applied Mathematics - Research Proposal Scope of the research project: development of a game theory-based mathematical model for an autonomous machine decision-making system, with the main Designed for students with a strong background in mathematics and mathematics education who wish to be leading researchers in mathematics education. Search for PhD funding, scholarships & studentships in the UK, Europe and around the world. Model and solve complex problems across science, business, and engineering with RIT’s Ph. Topics: the structure of ideal class groups, groups of units, a study of zeta functions and L-functions, local fields, Galois cohomology, local class field theory, and local duality. in Mathematics requires at least 72 hours of study, including at least 48 hours of approved graduate-level Overview Ph. With so many fascinating areas in mathematics, it can be hard to decide. This document discusses selecting a topic for a PhD thesis in mathematics education and provides information about HelpWriting. Please contact the relevant individual members of staff or get in touch with the Pure Mathematics Postgraduate Admissions Tutor . cat) is offering a 4 years PhD grant starting from January-February 2025. For more information, please see the Pure Mathematics research areas and find out more about specific projects . Typical Courses for a Mathematics Ph. The Ph. To do so, we offer exceptional interdisciplinary training together with a strong foundation in We would like to show you a description here but the site won’t allow us. is a research degree designed to prepare students to discover, integrate and apply knowledge as well as to communicate and disseminate it. You have a wide range of topics to choose from, including combinatorics, control theory, discrete mathematics, financial mathematics, game theory, graph theory, mathematical optimisation, machine learning, mechanism design, operations research, probabilistic analysis, theory of computation and algorithms, and the applications of mathematics. Research includes collaboration with students as well as partners from both academia and industry. Sire)Three Problems in Geometric Analysis Chen-Wei (Milton) Lin (D. 1 2 3 San Bernardino, California, United States Mathematics Theses, Projects, and Dissertations View Larger Mar 2, 2024 · Dive into the world of 251+ math research topics, from pure mathematics to applied fields, uncovering real-world applications. This article brings together the same content organized in a manner better suited for browsing. So, check out our list of 100 ideas for research projects in mathematics to find inspiration. About the courseThe DPhil in Mathematics is a research degree in which students pursue original research in areas such as algebra, geometry, number theory, mathematical biology, quantum theory, and data science, and write a thesis contributing to the field. S. To do so, we offer exceptional interdisciplinary training together with a strong foundation in At the graduate level, the Mathematics Department offers the PhD in Mathematics, which culminates in the exposition of original research in a dissertation. The PhD degree provides outstanding research options in a variety of pure and applied mathematics study topics. to help you choose the graduate school path that is the Qualifying Examination The Qualifying Examination (QE or orals) in Mathematics is an oral examination that covers three principal topics, two of which are designated as major topics, and one as a minor topic; the minor topic is examined in less depth than the major topics. Dive deep into mathematical processes, theory, and research. 2007 | 2008 | 2009 | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 | 2017 | 2018 | 2019 | 2022 | 2023 | 2024 The department’s growing financial math group is active in the areas of derivative pricing & hedging, algorithmic trading, portfolio optimization, insurance, risk measures, credit risk, and systemic risk. Our commitment to innovative and impactful research fosters the development of ideas that contribute significantly to various fields, from theoretical investigations to practical applications. Lindblad)Asymptotics and Scattering for Relativistic Field Equations Aditya Kumar (Y. Coursework must include 18 credit hours in Mathematics Education Research Courses (Mathematics 690 - 695); 18 credit hours of other 500-600 level mathematics courses; and 18 hours of graduate coursework in supporting areas outside of mathematics (such as The faculty research areas page has a list of the various research topics within the department. For more information, please see advice on choosing a project or find out more about specific projects . May 18, 2023 · This chapter presents a critical analysis of educational research as reflected in doctoral dissertations completed during the past decade in mathematics education in the Philippines. It lists potential research areas such as number theory, control theory, and statistical forecasting, and highlights the importance of a well-structured research proposal. Your guide to a PhD's in Mathematics in Australia in 2026: Top universities, scholarships, studying online, country & subject information & more. PROGRAMME IN MATHEMATICS offers an exciting and unique opportunity to students for pursuing research in the following areas: Pure Mathematics Applied Mathematics & Scientific Computing Probability & Statistics Theoretical Computer Science Under this programme students undergo a substantial amount of relevant course work consisting of advance topics in Aglebra, Analysis, Topology Thinking about taking a degree in mathematics at the postgraduate level? Not sure where to start? Then you're in the right place – we have created this subject guide to mathematics to help students achieve their postgraduate education goals in the topic. The active areas of research interest of the current members of the staff are: algebraic geometry, analysis (real, complex, functional and harmonic), analytic functions, applied mathematics, financial mathematics and mathematics of insurance, commutative rings Degree Requirements A candidate for the Ph. Sep 10, 2024 · Graduate and post-graduate math research topics in mathematics ( and any other subject, for that matter) attempt to discern the esoteric aspects and concepts. The PhD in Mathematics provides training in mathematics and its applications to a broad range of disciplines and prepares students for careers in academia or industry. Dodson)Global Well-posedness and Scattering of the Schrödinger and Wave Join our community of over 200 members, PhD students and associates, conducting internationally recognised mathematical sciences research. Choosing the right EPQ or dissertation topic could guide you toward a rewarding career in mathematics. edu Facilities: building2@mit. edu Undergraduate Admissions: admissions@mit. PDF SYMMETRIC PRESENTATIONS OF NON-ABELIAN SIMPLE GROUPS, Leonard B. ) in Mathematics might appeal to students who want to teach mathematics at the university level, conduct research, or work in consultation. Searching for math dissertation topics? Find research-worthy ideas that cover algebra, calculus, statistics, and applied mathematics for academic success! View sample PhD projects from past and current students in the School of Mathematics and Statistics at UNSW as well as a list of staff supervisors. The written test conducted by IISc for entrance to the Ph. The department began awarding PhD degrees on a regular basis around 1930, when a formal doctoral program was established as a result of the appointment of Tibor Radó as a professor at our department. Lamp PDF Simple Groups and Related Topics, Manal Abdulkarim Marouf Ms. I finished a masters in applied maths this summer and have since started a job in data science. Aug 14, 2025 · Unlock your potential with an online math PhD program. Lists of mathematics topics cover a variety of topics related to mathematics. In 1781, Gaspard Monge defined the problem of “optimal transportation” (or the transferring of mass with the least possible amount of work), with applications to engineering in mind. Common subjects include advanced My supervisor and I recently had a long chat about PhD related stuff. Successful applicants How to Choose Research Topic Or PhD Topic? 2. The core courses in the mathematics graduate program are MATH 6110–MATH 6120 (analysis), MATH 6310–MATH 6320 (algebra), and MATH 6510–MATH 6520 (topology). A graduate introduction to algebraic number theory. The main topics include Fourier analysis and Approximation theory, with the special attention on Uncertainty principle relations, Fourier inequalities, Extremal problems, Signal reconstruction Nov 17, 2025 · Open doors to an illustrious career in academia with an online PhD in math education. Want to know all about the PhD Mathematics semester wise syllabus and subjects? Get complete insights on best books, projects, and course structure. Opportunities for PhD research are available in a range of Probability, Financial Mathematics and Actuarial Science topics and Mathemathics research areas . In 1909 the department awarded its first PhD to Grace M. The skills The MPhil/PhD in Mathematics offers an intellectually stimulating and dynamic research course. ) in Mathematics Advanced Topics in Algebra - Doctor of Philosophy (Ph. Without fees or formalities, students may also attend seminars in the School of Mathematics at the IAS. The minimum duration of this course is 2-years, whereas you can complete this course in a maximum time span of 3-5 years. In a novel approach to the subject, the book both surveys the topic and includes a chapter of problems, making it a particularly useful graduate textbook. A Doctor of Philosophy (Ph. He said something to the extent that your chances of employment after finishing your PhD among other factors depends on the top 200 Applied Mathematics Thesis Topics and Ideas The selection of a thesis topic is a pivotal step for students pursuing advanced studies in applied mathematics, shaping their academic journey and contributions to the field. All posts and comments should be directly related to mathematics, including topics related to the practice, profession and community of mathematics. Kuhn. Select your area of study and start exploring ideas for undergraduate, master’s, or PhD research. Nov 8, 2025 · Completing a mathematics research project allows you to explore real-world applications of mathematical concepts. A. The graduate program in Mathematics at Duke offers research training in a wide variety of topics in mathematics. Areas of concentration include the analysis of data in very high-dimensional spaces, the geometry of information, computational biology, mathematical physics (optical and condensed matter physics), and randomized algorithms Jun 5, 2022 · Find out what the best online mathematics PhDs are and how you can specialize in research, statistics, analytics, data, and computer science fields. Note that some students may need to take prerequisite coursework for the first year of study. Math covers a broad set of interesting topics, and the ability to understand mathematics can lead to a higher starting salary than most careers. net, a service that assists with thesis writing. The goal of the topic is to help students bridge the gap between the material covered in the first year Ph. This subreddit is for discussion of mathematics. Department of Mathematics Headquarters Office Simons Building (Building 2), Room 106 77 Massachusetts Avenue Cambridge, MA 02139-4307 Campus Map (617) 253-4381 Website Questions: math_web_help@mit. degree in mathematics must fulfill a number of different departmental requirements. So, they must find a selective Ph. Riehl)A Model of Type Theory in Groupoid Assemblies Xuantao Chen (H. Mathematics thesis topics We offer a vibrant and supportive environment for postgraduate research in Mathematics. This page provides useful information and links discover more about our PhD Program and the application process. Guide To Graduate Study by the Harvard Department of Mathematics is designed to help students develop their understanding and enjoyment of mathematics. Since mathematics covers a vast range of branches — algebra, analysis, geometry, number theory, statistics, applied mathematics, and Pure Mathematics PhD provides opportunities for postgraduate research in Pure Mathematics, especially in the areas of algebra, analysis, combinatorics and graph theory. Graduate courses are designed to meet the needs of students doing graduate work in mathematics and in those disciplines that require graduate-level mathematics for their study. The main period for PhD student recruitment Are you considering undertaking a PhD in the Mathematical Sciences? We have many interesting projects for talented postgraduate researchers. Advanced mathematical topics: Students pursuing a PhD in Mathematics examine deep into advanced mathematical topics such as algebra, analysis, geometry, and Sample Study Plan for Mathematics Education This program is designed so that students have a strong background in all major areas of mathematics in order to be prepared to teach any undergraduate mathematics course or research the teaching and learning of undergraduate mathematics. Note: Faculty and graduate students can access past topic proposals here if using a department computer, or by entering the department username / password combination. Do you love calculations & solving big mathematical problems? Explore the various PhD in Mathematics topics and see which area you can excel in. During the second year of graduate study, students are required to give a topic presentation in some field of mathematics. We at Words Doctorate have experienced mathematics writers who have written more than 200 maths papers for PhD students and helped them succeed in their careers. The following 200 The document provides guidance on selecting PhD topics in mathematics, emphasizing the need for focus and problem-solving abilities. Achieve academic excellence. PDF HILBERT SPACES AND FOURIER SERIES, Terri Joan Harris Mrs. Our program allows students great flexibility in pursuing their diverse research interests for both the MS and PhD degrees. Róbert Horváth The Department of Mathematics offers excellent opportunities for research in both pure and applied mathematics. In reality, basically everyone who is capable of succeeding in a math PhD program without needing additional schooling (whether to learn for the first time or refresh) can find 2-4 people who can vouch for their math skills to some extent. Graduate students also receive training and gain experience in the teaching of mathematics. Mathematics is a full-time doctoral degree. Choosing a research topic is crucial because it sets the stage for your entire PhD journey. edu Accessibility Emergencies Mathematics and Statistics The School of Mathematics and Statistics has an active research programme covering a wide range of topics in the mathematical sciences, with weekly seminars, and several workshops and conferences throughout the year. May 19, 2024 · Key Takeaways: Research-intensive program: A Doctorate of Mathematics, also known as a PhD in Mathematics, is a research-focused program that requires students to conduct original research and contribute to the field’s knowledge. in mathematical modeling. Whether you’re a high school student exploring basic geometry, an undergraduate delving into applied math, or a PhD candidate tackling complex systems, this article provides 240+ mathematics research topics to spark your curiosity. Joint program students take the Mathematics Department's oral candidacy exam instead of the Philosophy Department's oral exam. D. Lists cover aspects of basic and advanced mathematics 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. Program of Study The Department of Mathematics offers a program leading to the degree of Doctor of Philosophy. In Ph. Start today! Join an active research community and work with academics, peers and partner organisations with demonstrated research success in a range of specialities. PhD studies in mathematics and statistics If you've completed an Honours or a Masters course with a significant research component, you're eligible to go on to a Doctor of Philosophy (PhD) or other graduate research program. To be clear, I am not looking for advice on how to choose a topic for myself, but I wonder what the experience/path for other people was. Doctoral Students, Thesis Topics & Supervisors Faculty of Education People in the Faculty Doctoral Students, Thesis Topics & Supervisors Academic Staff Emeritus Readers and Professors Doctoral Students Equality and Diversity Dec 17, 2024 · Mathematics forms the backbone of scientific discovery and technological progress, offering endless possibilities for research. Dive into dynamic Math Graduate Programs 2025+. Search Funded PhD Projects, Programmes & Scholarships in mathematics. Applied mathematics lies at the intersection of theoretical rigor and practical utility, addressing complex problems in science, technology, and society. Mistakes That Students and Early-Stage Researchers Commit During The Process of Research Topic Selections. I’m trying to decide if it is worth taking 3/4 years out to pursue a PhD before probably coming back to work in industry. 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. The mathematics of General Relativity, particularly Riemannian geometry, is generally considered part of applied mathematics rather than pure mathematics Postgraduate research topics in pure mathematics Thinking of doing a PhD or research degree in pure mathematics? Here are some suggested topics. Algebraic Our math research topics have just been updated. vn Obtaining a Math PhD Mathematics involves the study of things such as quantity (arithmetic), structure (algebra), space (geometry), and change (analysis). NYU Shanghai Ph. com More information and a full list of requirements for the PhD program in Mathematics can be found in the University Bulletin. Jun 5, 2022 · Find out what the best online mathematics PhDs are and how you can specialize in research, statistics, analytics, data, and computer science fields. txt) or read online for free. The ability to do and understand mathematics is an asset in almost every field, and it opens doors that would otherwise remain closed. This subject offers up a wealth of fascinating areas or study as well as a variety of job opportunities for sucessful graduates. On this page we answer frequently asked questions and provide some useful resources. Dec 10, 2024 · A PhD in Mathematics equips you with problem-solving skills, analytical thinking, and a deep understanding of mathematical concepts, making you a valuable asset in many fields. However, don’t worry! We’re here to help you explore some of the best math research topics for PhD students. The PhD program is an intensive course of study designed for the full-time student planning a career in research and teaching at the university level or in quantitative research and development in industry or government. Uncover top programs, degree comparisons, & more here. Among the fields covered are analysis, algebra, applied and computational mathematics, mathematical biology, geometry and topology, probability, ordinary and partial differential equations, and 1. Oct 19, 2024 · PhD in Mathematics The Centre de Recerca Matemàtica (www. Program Overview The Ph. Advanced Topics in Algebra - Doctor of Philosophy (Ph. How did you end up with your PhD/research topic? At the moment I am looking for PhDs and I am wondering how did people found their research interest at this (or later) stages in their academic career. edu Graduate Admissions: gradadmissions@mit. FindAPhD. PhD research topic proposal BME, Doctoral School of Mathematics and Computer Science Name of the supervisor: Dr. 4. Best Ways To Choose PhD Topic 3. 1 2 3 Mathematics and Statistics Theses and Dissertations View Larger Embed Total Papers Total Downloads Downloads in the past year 1. crm. Nov 15, 2025 · In this article, we will explore some of the best topics for a PhD in mathematics, covering various areas and providing insights into what makes them compelling and relevant. 1) PhD Maths Topic Selection Choosing the right PhD topic in Mathematics is the foundation of your entire research journey. This program combines graduate-level study with qualitative and quantitative research methodology. Topics include reasoning and communication in mathematics, including logic, generalization, existence, definition, proof, and the language of mathematics, functions, relations, set theory, recursion, algebra, and number theory. Major areas of research specialization include algebra, number theory, algebraic geometry, analysis, differential geometry and physics, topology, dynamical systems, partial differential equations, scientific computing, and stochastic Phd Thesis Topics in Mathematics Education - Free download as PDF File (. 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. From number theory to machine . edu Apply for a PhD in Mathematics or visit our campus to get firsthand information about Drexel and the city of Philadelphia. Enroll today! The candidate must further complete a course of study approved by the doctoral program committee and pass a comprehensive examination. See full list on discoverphds. It is home to a number of research fellows, visiting researchers and full- and part-time research students. Let’s dive in! Jul 22, 2025 · Find relevant dissertation topics across various academic fields. Research Areas The Department aims to promote close collaboration between various mathematical disciplines and with other applied areas. in that it emphasizes, from the start, independent research. Fully Funded PhD in Mathematics at Baylor University Summary of PhD Program: Baylor University in Waco, Texas, has a fully funded PhD in Mathematics program. Graduate school is an advanced program of study beyond a bachelors degree, leading to a specialized degree in a variety of mathematical sciences disciplines, including theoretical and applied mathematics, statistics, data science, and computer science. PhD Research Topics in Mathematics: PhD research topics in Mathematics include algebraic geometry, number theory, mathematical modeling, applied mathematics, and mathematical analysis. We are proud of our Mathematics (MA) and Applied Mathematics (AMA) programs, described in detail in this guide. pdf), Text File (. I. Jul 16, 2004 · Current research topics in mathematics for PhD students include areas such as Real and Complex Analysis, Abstract Algebra, and Topology/Geometry, with specific interests in differential geometry and its applications to General Relativity. Track The Ph. Here is a list of the topics covered. The Department of Mathematics has an outstanding research reputation and a thriving community of PhD students. Students might be given the opportunity to focus on one area of mathematics, such as statistics, or will take several advanced-level maths courses. 1 2 3 Mathematics and Statistics Theses and Dissertations View Larger Embed Total Papers Total Downloads Downloads in the past year Mathematics, Ph. May 12, 2022 · Why Get a PhD in Mathematics? There are many reasons to get a PhD in Mathematics. This page contains a number of resources for Graduate Students in Mathematics. We would like to show you a description here but the site won’t allow us. It is used to study … A selection of Mathematics PhD thesis titles is listed below, some of which are available online Gain advanced skills in applied mathematics to push forward solutions to complex problems and conduct your own research with a PhD in Mathematics from Clarkson University. Mathematics, students study statistical concepts relating to inspection, engineering design, and The Applied Mathematics & Statistics, and Scientific Computation (AMSC) graduate program promotes training in interdisciplinary research through three concentrations. Our graduate program is unique from the other top mathematics institutions in the U. Graduate course offerings for the academic year 2025-2026 are included below along with course descriptions that are in some cases more detailed than those included in the university catalog, especially for topics courses. What Makes a Great Research Topic in Mathematics? Ask […] The Mathematics Education and Scholarship section has many potential PhD topics with potential supervisors including, Katie Severn, Chris Brignell, Tom Wicks, Lisa Mott and Ria Symonds, please get in touch if you are interested or would like to find out more. Looking for Research Proposals on Mathematics and ideas? Get them here for free! We have collected dozens of previously unpublished examples in one place. Visit the Research Areas page to get a sense of the research interests of the faculty in the department. In addition, mathematics is Nov 23, 2016 · Image credit: zuni. Take a look at our latest math research paper topics for high school and college for free. 7900 Foundations for Graduate Mathematics An intensive review of techniques and material essential for graduate study in mathematics, including background in calculus and linear algebra. Thus, this also makes choosing an apt research topic for a math dissertation another significant obstacle. With this opportunity, students generally complete their coursework in New York City before moving full Brigham Young University's open access repository's section for electronic theses and dissertations concerning mathematics education. vrjyyn vyse rexjqu xlfc hchift iljws fuxq skcwwgu qljatnq qdlbwaz niuxfe xkp hisxsw qmcnva egg