Mathematics
Fields include real analysis, complex analysis, functional analysis, classical and modern harmonic analysis; linear and nonlinear partial differential equations; dynamical systems and ergodic theory; probability; random matrix theory, Kleinian groups, low dimensional topology and geometry; differential geometry; finite and infinite groups; geometric group theory; finite and infinite dimensional Lie algebras, Lie groups, and discrete subgroups; representation theory; automorphic forms, L-functions; Langlands program; algebraic number theory and algebraic geometry; mathematical physics, relativity; numerical analysis; probabilistic combinatorics; additive combinatorics; and spectral graph theory.
- Terminal Degrees Offered
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- PhD - Doctor of Philosophy
- Program Website
- Programs and Policies
Ivan Loseu
Director of Graduate Studies
Caley Kellerman
Departmental Registrar
Admission Requirements
Standardized Testing Requirements
GRE is optional. GRE Mathematics Subject Test is required.
English Language Requirement
TOEFL iBT or IELTS Academic is required of most applicants whose native language is not English.
You may be exempt from this requirement if you have received (or will receive) an undergraduate degree from a college or university where English is the primary language of instruction, and if you have studied in residence at that institution for at least three years.
Academic Information
Advising
Academic Resources
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Academic Calendar
The Graduate School's academic calendar lists important dates and deadlines related to coursework, registration, financial processes, and milestone events such as graduation.
Financial Information
PhD Stipend & Funding
PhD students at Yale are normally fully-funded. During their programs, our students receive a twelve-month stipend to cover living expenses and a fellowship that covers the full cost of tuition and student healthcare.