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Skip to main content Menu Department of Mathematics Upper Utility Nav About/Contact Us News Computing Mathjobs Search form Search Research Algebra and Combinatorics Analysis Biological Modeling Computational Mathematics Geometry: Differential & Algebraic Mathematical Physics Number Theory PDE & Dynamical Systems Physical Modeling Probability Signals, Images, and Data Topology Greater Mathematical Sciences Undergraduate Calculus & Engineering Math Why Study Math? Math Majors and Minors Math Curious? Research Opportunities Social Activities Transfer Credits Study Abroad DUMU (Duke University Math Union) Math Competitions Duke Math Meet Awards, Scholarships, Theses and Publications Graduate Graduate Program Faculty Graduate Student Officers Professional Societies For Current Students Training for Teaching Assistants Prospective Students Not Math Courses All Courses Spring 2020 Fall 2019 Course Placement Courses for Your Career Path Courses by Math Fields Foundational Courses for Graduate Students Mini-courses People Faculty Visiting Faculty Emeriti All Faculty by Speciality Staff Graduate Students All (Alphabetical, by Rank) Faculty Honors & Awards Seminars & Events Events by Week Adventures in Theory Lectures Algebraic Geometry Applied Math & Analysis Colloquium Data Dialogue Frontiers in Mathematics Geometry & Topology Gergen Lectures Graduate-Faculty Talks Machine Learning Math/Statistics Mathematical Biology Nonlinear & Complex Systems Number Theory Probability Public Lectures String Theory Triangle Topology Math@Large SWiM re:boot Number Theory Duke Math Meet PLUM Alumni For Current Students For Our Alumni Giving Professor Lillian Pierce receives the Presidential Early Career Award for Scientists and Engineers Research News For Fluid Equations, a Steady Flow of Progress The complicated currents in a cup of tea inspired a series of important proofs. ... read more about For Fluid Equations, a Steady Flow of Progress » A New Look at Ancient Handwriting A New Look at Ancient Handwriting Researchers have been analyzing... read more about A New Look at Ancient Handwriting » Mathematicians Cut Apart Shapes to Find Pieces of Equations Two flat paper shapes are considered "scissors congruent" if you can cut up one shape and rearrange it as the other. But is there a way to determine... read more about Mathematicians Cut Apart Shapes to Find Pieces of Equations » Duke students earn Outstanding in the ICM The team of Duke University students Vinit Ranjan, Junmo Ryang and Albert Xue was designated Outstanding in the 2019 Interdisciplinary Contest in... read more about Duke students earn Outstanding in the ICM » SIAM Certificate Awarded to Hangjie Ji 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 » Mathematical Contest in Modeling (MCM) 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) » Research 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. Read more about our research Topology 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 Physics 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 » Number Theory Number theory is the study of the integers (i.e. whole numbers) and related objects. Topics studied by number theorists include the problem of... Read more about Number Theory » Biological 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 » Algebra and Combinatorics 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 » Computational Mathematics Computational Mathematics involves mathematical research in areas of science and engineering where computing plays a central and essential role.... Read more about Computational Mathematics » Physical Modeling Mathematical research in physical modeling focuses on the formulation and analysis of mathematical representations of problems motivated by other... Read more about Physical Modeling » Geometry: Differential & Algebraic 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 » Signals, Images, and Data 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 » Analysis 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 » PDE & Dynamical Systems 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 » Probability 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 » 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. Read more about our undergraduate program Undergraduate News Duke Math Meet 2019 The 2019 Duke Math Meet was held on SATURDAY, NOVEMBER 2, 2019. Check out photos from the meet here: ... read more about Duke Math Meet 2019 » Leaving the Louvre - How to get out fast Courtesy of Robin Smith – University Communications If you’ve ever visited the Louvre in Paris, you may have been too focused on snapping a... read more about Leaving the Louvre - How to get out fast » Duke students earn Outstanding in the ICM The team of Duke University students Vinit Ranjan, Junmo Ryang and Albert Xue was designated Outstanding in the 2019 Interdisciplinary Contest in... read more about Duke students earn Outstanding in the ICM » Mathematical Contest in Modeling (MCM) 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) » New Approach to Bone Remodeling 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 » Duke University Mathematics Union (DUMU) 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) » Graduate News Didong Li receives IMS award The depar...