Ranked in the top 20 math graduate programs by U.S. News & World Report, our faculty conduct more than $3.7 million in research each year for industry, the Department of Defense, the National Science Foundation, and the National Institutes of Health. Our faculty of 35 includes three National Academy of Science members and two National Academy of Engineering members. The Department supports more than 50 graduate students.
Research News
-
Congratulations to Duke Math faculty member Cynthia Rudin on being awarded a 2020-2021 Energy Research Seed Fund grant. This year the Duke University... read more about Duke Math faculty member awarded Energy Research Seed Fund grant » -
Graduate Student and new PhD, Hangjie (Jessie) Ji, was recognized by the Society for Industrial and Applied Mathematics (SIAM) for her "outstanding... read more about SIAM Certificate Awarded to Hangjie Ji » -
Vinit Ranjan, Kelly Zhang, and Junmo Ryang are a group of prospective math majors who all met in high school at the North Carolina School of Science... read more about Mathematical Contest in Modeling (MCM) » -
For centuries, mathematicians tried to solve problems by adding new values to the usual numbers. Now they’re investigating the unintended... read more about New Number Systems Seek Their Lost Primes: Prof. Lillian Pierce is featured in Quanta magazine » -
Kevin Murgas (Biomedical Engineering, Class 2017), started working on this project during a Research Experience for Undergraduates (REU) program in... read more about New Approach to Bone Remodeling » -
SIAM is the Society of Industrial and Applied Mathematics. We formed this chapter to promote collaboration, interdisciplinary activities, and... read more about New SIAM Chapter at Duke Mathematics! »
Number theory is the study of the integers (e.g. whole numbers) and related objects. Topics studied by number theorists include the problem of... Read more about Number Theory »
Functions are representations of relations between sets, and in particular are useful for representing the changing states of a system: the velocity... Read more about Analysis »
Algebra refers to the use and manipulation of symbols, often with each representing some mathematical entity such as a quantity (think integer or... Read more about Algebra and Combinatorics »
Partial differential equations (PDEs) are one of the most fundamental tools for describing continuum phenomena in the sciences and engineering. Early... Read more about PDE & Dynamical Systems »
Researchers at Duke use geometric methods to study: the geometry and arithmetic of algebraic varieties; the geometry of singularities; general... Read more about Geometry: Differential & Algebraic »
Topology is the study of shapes and spaces. What happens if one allows geometric objects to be stretched or squeezed but not broken? In fact there’s... Read more about Topology »
Mathematical research in physical modeling focuses on the formulation and analysis of mathematical representations of problems motivated by other... Read more about Physical Modeling »
In recent decades, an explosive synergy between biology and mathematics has greatly enriched and extended both fields. Indeed, given its ability to... Read more about Biological Modeling »
Probability and Stochastic process is the study of randomness. It is at once a theoretical and abstract subject and one which is highly applied.... Read more about Probability »
A large number of signals is collected from a wide variety of physical and biological phenomena, and in a variety of forms, ranging from acoustics,... Read more about Signals, Images, and Data »
Computational Mathematics involves mathematical research in areas of science and engineering where computing plays a central and essential role.... Read more about Computational Mathematics »
Mathematical physics seeks to apply rigorous mathematical ideas to problems in physics, or problems inspired by physics. As such, it is a remarkably... Read more about Mathematical Physics »
Undergraduate Program
As a field of study, mathematics is unique. Known as “The Queen of the Sciences,” it is the purest form of quantitative analytical reasoning and thus has applications to almost every other science. In fact, many sciences rely so heavily on mathematics that their most important questions are, fundamentally, math problems.
Undergraduate News
-
We're proud of Math major Maria Paz Rios for her work in Colombia: "As part of the Duke for Colombia Campaign, and with the help of Bogotá Police and... read more about Undergrad delivers food in Colombia » -
Vinit Ranjan, Kelly Zhang, and Junmo Ryang are a group of prospective math majors who all met in high school at the North Carolina School of Science... read more about Mathematical Contest in Modeling (MCM) »
-
Kevin Murgas (Biomedical Engineering, Class 2017), started working on this project during a Research Experience for Undergraduates (REU) program in... read more about New Approach to Bone Remodeling »
-
The Duke University Math Union (DUMU) is devoted to organizing and providing resources to students interested in mathematics. Throughout the year, we... read more about Duke University Mathematics Union (DUMU) » -
A Duke team crushed more than 500 other schools in the NCAA tournament of the math world, known by mathletes as ... read more about Post-Game Roundup from the Brain Teaser Bowl » -
Six students have been named 2016 PRUV Fellows and will work on a variety of research projects from algebraic geometry and number... read more about PRUV: Program for Research for Undergraduates »
Graduate News
-
On Sunday April 23, the Duke mathematics department hosted the fourth Triangle Area Graduate Mathematics Conference (TAGMaC). The event was... read more about Triangle Area Graduate Mathematics Conference (TAGMac) » -
Graduate Student and new PhD, Hangjie (Jessie) Ji, was recognized by the Society for Industrial and Applied Mathematics (SIAM) for her "outstanding... read more about SIAM Certificate Awarded to Hangjie Ji »
-
SIAM is the Society of Industrial and Applied Mathematics. We formed this chapter to promote collaboration, interdisciplinary activities, and... read more about New SIAM Chapter at Duke Mathematics! »
-
In a paper published in the SIAM Journal on Imaging Sciences, Rujie... read more about Advanced Algorithm Improves Art Restoration Techniques » -
A thin liquid film is a layer of fluid that has a breadth much greater than its depth. A representative example is the tear film that coats your eye... read more about Modeling Temperature Dependence in Marangoni-driven Thin Films » -
The main result of this thesis is the construction of Massey triple products of Eisenstein series. Massey triple products are a generalization of the... read more about Triple Products of Eisenstein Series »
Graduate Program
Major areas of research in the Duke Math Department include Algebra and Combinatorics, Algebraic Geometry, Analysis and Partial Differential Equations, Computational Math, Differential Geometry, Mathematical Physics, Number Theory, Probability Theory and Stochastic Processes, as well as the applications of mathematics to biology, the physical sciences, high-dimensional data, and the analysis of images. PhD thesis work can be supervised by any member of the mathematics graduate faculty.
Courses, Plans & Placement
Whether you are planning to major or minor in math, fulfill your graduation requirements, or pick and choose courses that advance your career goals, there are math courses and people here to support you.
Featured Courses
-
MATH89SWhat is democracy? More specifically, how does one create rules for elections which have outcomes most consistent with democratic values? The... read course details for Game Theory and Democracy » -
MATH165FSIntroduction to topics in mathematical cryptography, and the role of cryptography within society, in both historic and modern contexts. Cryptographic... read course details for Cryptography and Society » -
MATH218L (primary)Optional lab section for Math 218: solving systems of linear equations, matrix factorizations and fundamental vector subspaces, orthogonality, least... read course details for Matrices & Vector Spaces (LAB) »
-
MATH245Explorations of interesting problems from a variety of branches of math such as geometry, number theory, combinatorics, logic, and analysis. Students... read course details for Introduction to Mathematics: Example, Conjecture, and Proof »
-
MATH260This is an introductory programming course in Python providing a foundational background for scientific computing. The fundamentals of programming... read course details for Python Programming in Math » -
MATH305SDivisibility properties of integers, prime numbers, congruences, quadratic reciprocity, number-theoretic functions, simple continued fractions,... read course details for Number Theory »
John J. Gergen Memorial Lectures
Once or twice a year the Math Department sponsors lectures named in honor of Professor John J. Gergen (1903-1967), former chairman of the department. These lectures feature the prominent mathematicians of our time.
Did You Know?
Mathematical sciences are an important part of modern day technological innovation and development. Did you know that math drives the "knowledge economy," including internet startups, biotech, film production, computer games and individualized medicine? Mathematical sciences help us to understand the spread of flu, earthquakes and avalanches, political upheavals and national economic fluctuations, and much more.
Why Study Math?
Suppose you love mathematics, but ultimately see yourself pursuing a career as a doctor, lawyer, or in business. You should be aware that professional graduate schools in medicine, law, and business think mathematics is a great major because it develops analytical skills and the ability to work in a problem-solving environment. Their entrance tests support this bias, so the more math you know the better you will do on their exams.
About Duke Mathematics
The Duke Mathematics Department currently comprises 30 tenured and tenure track faculty, 5 teaching faculty, 27 postdocs, and 53 graduate students. We have about 98 undergraduate mathematics majors and 41 minors. The number of mathematics majors who graduated in 2014-15 was 48; 28 mathematics minors also graduated. The research interests of the department span significant areas of pure and applied mathematics. Each year the department sponsors the Gergen Lectures, given by distinguished speakers in the field.