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Doctor of Philosophy in Mathematics - Analysis and Partial differential equations
We provide Doctor of Philosophy in Mathematics - Analysis and Partial differential equations. We will wholeheartedly provide you with the best quality educational resources and support. We are committed to helping every student achieve greater success in this professional field and lay a solid foundation for future career development.
Doctor of Philosophy in Mathematics - Analysis and Partial differential equations

  

About the course

The Analysis cluster at Tufts includes a range of specialties that cross over between pure and applied math, with common interests in harmonic analysis, PDEs, and integral geometry.

  Harmonic analysis is an abstract generalization of Fourier theory that includes the study of Laplacians and their spectra on manifolds and in many other geometric settings. Partial differential equations (PDEs) are omnipresent in applications of mathematics to physics, from the time of Fourier and Maxwell onwards. Integral geometry is the study of integral transforms that integrate functions over curves or surfaces in Euclidean space or manifolds.

  Fulton Gonzalez works in harmonic analysis on homogeneous spaces and in integral geometry, using tools from representation theory, functional analysis, differential geometry, and algebraic geometry. Todd Quinto's pure research involves the use of microlocal analysis in integral geometry, with applications to harmonic analysis and PDEs. Bruce Boghosian studies periodic solutions to PDEs that exhibit spatiotemporal chaos, such as the Kuramoto-Sivashinsky equations that govern the dynamics of flame fronts. James Adler's research uses tools from numerical analysis (including finite elements) for studying the solution of PDEs. Xiaozhe Hu's research studies the qualitative properties of PDEs such as stability and well-posedness for developing efficient and robust numerical methods. James Murphy uses methods from harmonic analysis, spectral graph theory, and high-dimensional statistics for theoretical machine learning. Scholarships - View all scholarships Internships

  

Start dates and prices

Course fees are indicative and should be used as a guide. Speak to a counsellor to get an accurate price.

  Duration: 12 Semester(s)Fees: US$184,632

Intake Location
Fall (September), 2024 Medford
Fall (September), 2025 Medford

  

How to apply

Entry requirements for Tufts University

Applicants will be required to upload a copy of transcripts received from each college or university attended where credit was earned toward an undergraduate, graduate or professional degree. Transcripts for study abroad or transfer programs are not required if the course titles, grades, and credit hours are included on the transcript of the degree-granting institution. If the transcript is in a language other than English, please provide an official translation. If you are offered admission, you will be required to request that official hard copy transcripts from all of your degree granting institutions be sent directly to Tufts.TOEFL IBT - 90. IELTS - 6.5.

  

English language requirements

  6.5

  Overall IELTS band score

  Book IELTS

  About IELTS

  Practice and prepare

  TOEFL Internet based overall score: 90.0

  

Application deadline:

This date isn’t available – speak to an IDP counsellor to get detailed information.

  

Further information

Career outcomes

  

Reviews and rankings

World ranking

  191st / 1250

  THE World ranking

  

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