uc berkeley math phd stipend

General Information

Thank you for your interest in the Applied Mathematics/Mathematics PhD Programs! The Math Department admits new graduate students to the Fall Semester only.  The graduate admissions application for Fall 2025 admission will be available Thursday, September 12th, 2024. The deadline to apply is Tuesday, December 17th, 2024, at 8:59pm Pacific Time.  Access the Graduate Division's Online Application . Please read the information on Graduate Division requirements and information required to complete the application. Copies and "unofficial" transcripts are accepted via the online application system if the name of your institution and your name are on the transcript. Please  do not  mail original transcripts for the review process. We require three letters of recommendation, which should be submitted online. We do not accept mailed letters of recommendation. Letters should be received online by the admissions deadline. To learn more about the program, here is a recording of a recent presentation we held at the 2022 Graduate Diversity Admissions Fair .

Admission to the Ph.D. Program

The Department of Mathematics offers 2 Ph.D. degrees, one in Mathematics and one in Applied Mathematics. Applicants for admission to either Ph.D. program are expected to have preparation comparable to the undergraduate major at Berkeley in Mathematics or in Applied Mathematics. These majors consist of 2 full years of lower-division work (covering calculus, linear algebra, differential equations, and multivariable calculus), followed by 8 one-semester courses including real analysis, complex analysis, abstract algebra, and linear algebra. These eight courses may include some mathematically based courses offered by other departments (e.g., Physics, Engineering, Computer Science, or Economics).

Applicants for admission are considered by the department's Graduate Admissions Committee. The number of students that can be admitted each year is determined by the Graduate Division. In making admissions decisions, the committee conducts a comprehensive review taking into consideration letters of recommendation, level of mathematics preparation, performance in courses, broader impacts (community contributions), research experience, etc.

A Note on the GRE Exams

Due to the COVID-19 pandemic, the  GRE exams will be optional for the Fall 2024 graduate admissions application.  You may still submit GRE scores; however, an absence of GRE scores will not negatively impact your application. For those who choose to take the General GRE and/or the Mathematics Subject GRE exams: to ensure timely reception of official score reports, we recommend you take both exams no later than October; official score reports are due by the admissions deadline. The Educational Testing Service will send your scores to the institutions you specify when you take the exams, please consult their website to see how long it takes for ETS to transmit score reports to institutions. Additional information about the GRE exams, and how to register, can be obtained on the web .

A Note on GPAs

If your undergraduate institution does not use a 4-point grading scale please do not convert your GPA to match the 4.0 scale. Instead, leave the section blank, or write in 0.00. The faculty review committee will be able to see your true academic performance from your uploaded unofficial transcripts. For the "Advanced GPA," our program does not require a GPA calculation spreadsheet.

International Students

All applicants from countries in which the official language is not English are required to submit official evidence of English language proficiency. Please refer to the Graduate Division's admissions page for information on the English language requirement .

For international applicants, we are pleased to offer a limited number of need based  fee  waivers each year to eligible applicants. The waiver is available in the program page of the online application and must be submitted by December 1st. 

The M.A. in Math

The Department of Mathematics no longer accepts applications for the Master's in Mathematics Program. If you are interested in graduate study at UC Berkeley, please apply for the Applied Mathematics or Mathematics Ph.D. program. The MA application is only available to current Ph.D. students at Berkeley interested in a simultaneous MA in Mathematics.

We expect to make final decisions by the end of February or mid-March.

Email Math Graduate Admissions

After reading the above material and our  FAQ  page, if you have further questions on admission to our program you can send an email to  [email protected] . 

Mathematics

About the Program

The Department of Mathematics offers both a PhD program in Mathematics and Applied Mathematics.

Students are admitted for specific degree programs: the PhD in Mathematics or PhD in Applied Mathematics. Requirements for the Mathematics and Applied Mathematics PhDs differ only in minor respects, and no distinction is made between the two in day-to-day matters. Graduate students typically take 5-6 years to complete the doctorate.

Continuing students wishing to transfer from one program to another should consult the graduate advisor in 910 Evans Hall. Transfers between the two PhD programs are fairly routine, but must be done prior to taking the qualifying examination. It is a formal policy of the department that an applicant to the PhD program who has previous graduate work in mathematics must present very strong evidence of capability for mathematical research.

Students seeking to transfer to the department's PhD programs from other campus programs, including the Group in Logic and the Methodology of Science, must formally apply and should consult the Vice Chair for Graduate Studies.

Visit Department Website

Admission to the University

Applying for graduate admission.

Thank you for considering UC Berkeley for graduate study! UC Berkeley offers more than 120 graduate programs representing the breadth and depth of interdisciplinary scholarship. The Graduate Division hosts a complete list of graduate academic programs, departments, degrees offered, and application deadlines can be found on the Graduate Division website.

Prospective students must submit an online application to be considered for admission, in addition to any supplemental materials specific to the program for which they are applying. The online application and steps to take to apply can be found on the Graduate Division website .

Admission Requirements

The minimum graduate admission requirements are:

A bachelor’s degree or recognized equivalent from an accredited institution;

A satisfactory scholastic average, usually a minimum grade-point average (GPA) of 3.0 (B) on a 4.0 scale; and

Enough undergraduate training to do graduate work in your chosen field.

For a list of requirements to complete your graduate application, please see the Graduate Division’s Admissions Requirements page . It is also important to check with the program or department of interest, as they may have additional requirements specific to their program of study and degree. Department contact information can be found here .

Where to apply?

Visit the Berkeley Graduate Division application page .

Admission to the Program

Undergraduate students also often take one or more of the following introductory Mathematics graduate courses:

The Math Department admits new graduate students to the fall semester only. The Graduate Division's Online Application will be available in early September at:  http://grad.berkeley.edu/admissions/index.shtml . Please read the information on Graduate Division requirements and information required to complete the application.

Copies of official or unofficial transcripts may be uploaded to your application. Please do  not  mail original transcripts for the review process. 

We require three letters of recommendation, which should be submitted online. Please do  not  mail letters of recommendation for the review process. 

For more information, please review the department's graduate admissions webpage at:  https://math.berkeley.edu/programs/graduate/admissions . We also recommend reviewing our admissions FAQs page at:  https://math.berkeley.edu/programs/graduate/faqs . 

Doctoral Degree Requirements

Prerequisites

The Department of Mathematics offers two PhD degrees, one in Mathematics and one in Applied Mathematics. Applicants for admission to either PhD program are expected to have preparation comparable to the undergraduate major at Berkeley in Mathematics or in Applied Mathematics. These majors consist of two full years of lower division work (covering calculus, linear algebra, differential equations, and multivariable calculus), followed by eight one-semester courses including real analysis, complex analysis, abstract algebra, and linear algebra. These eight courses may include some mathematically based courses in other departments, like physics, engineering, computer science, or economics.

Applicants for admission are considered by the department's Graduate Admissions and M.O.C. Committees. The number of students that can be admitted each year is determined by the Graduate Division and by departmental resources. In making admissions decisions, the committee conducts a comprehensive review of applicants considering broader community impacts, academic performance in mathematics courses, level of mathematical preparation, letters of recommendation, and GRE scores.

Degree Requirements

In outline, to qualify for the PhD in either Mathematics or Applied Mathematics, the candidate must meet the following requirements.

• take at least four courses, two or more of which are graduate courses in mathematics;
• and pass the six-hour written preliminary examination covering primarily undergraduate material. (The exam is given just before the beginning of each semester, and the student must pass it within their first three semesters.)
• Pass a three-hour, oral qualifying examination emphasizing, but not exclusively restricted to, the area of specialization. The qualifying examination must be attempted  within two years  of entering the program.
• Complete a seminar offered by the Math department, giving a talk of at least one hour duration.  Research presentations held at Mathematical Sciences Research Institute (MSRI), or Lawrence Berkeley National Lab (LBNL) are also acceptable. A Math Department faculty member must be present at the talk and sign the seminar form confirming.
• Write a dissertation embodying the results of original research and acceptable to a properly constituted dissertation committee.
• Meet the University residence requirement of two years or four semesters.

The detailed regulations of the PhD program are as follows:

Course Requirements Students must take and pass at least four 4-unit courses during the first year of the Ph.D. program; at least two courses per semester. At minimum, two of these courses must be graduate courses (200-level) offered by the Department of Mathematics . Two upper division (100-level) undergraduate courses offered by the Department of Mathematics may also be used toward this requirement. Exceptions may also be considered and must be reviewed by the Head Graduate Advisor for approval.

Preliminary Examination The preliminary examination consists of six hours of written work given over a two-day period. Most of the examination covers material, mainly in analysis and algebra, and helps to identify gaps in preparation. The preliminary examination is offered twice a year—during the week before classes start in both the fall and spring semesters. A student may repeat the examination twice. A student who does not pass the preliminary examination within 13 months of the date of entry into the PhD program will not be permitted to remain in the program past the third semester. In exceptional cases, a fourth try may be granted upon appeal to committee omega.

Qualifying Examination To arrange for the qualifying examination, a student must first settle on an area of concentration, and a prospective dissertation supervisor, someone who agrees to supervise the dissertation if the examination is passed. With the aid of the prospective supervisor, the student forms an examination committee of four members. Committee members must be members of Berkeley's Academic Senate and the Chair must be a faculty member in the Mathematics Department. The syllabus of the examination is to be worked out jointly by the committee and the student, but before final approval it is to be circulated to all faculty members of the appropriate sections. The qualifying examination must cover material falling in at least three subject areas and these must be listed on the application to take the examination. Moreover, the material covered must fall within more than one section of the department. Sample syllabi can be seen on the Qualifying Examination page on the department website. 

The student must attempt the qualifying examination within twenty-five months of entering the PhD program. If a student does not pass on the first attempt, then, on the recommendation of the student's examining committee, and subject to the approval of the Graduate Division, the student may repeat the examination once. The examining committee must be the same, and the re-examination must be held within thirty months of the student's entrance into the PhD program.

For a student to pass the qualifying examination, at least one identified member of the subject area group must be willing to accept the candidate as a dissertation student, if asked. The student must obtain an official dissertation supervisor within one semester after passing the qualifying examination or leave the PhD program. For more detailed rules and advice concerning the qualifying examination, consult the graduate advisor in  910 Evans Hall.

Master's Degree Requirements

Eligibility .

At this time, the MA in Mathematics is a simultaneous degree program only offered to students currently enrolled in a doctoral program at UC Berkeley. The doctoral student must be in good standing in their program and have a faculty adviser in the Mathematics Department who is supportive of the addition of the MA in Mathematics and agrees to supervise the MA work. Current doctoral students must apply during the regular admissions cycle for consideration for fall admission. The degree must be completed prior to or in tandem with the PhD degree. Interested students must inquire with the Mathematics Graduate Student Affairs Officer. 

Unit Requirements

Plan I requires at least 20 semester units of upper division and graduate courses and a thesis. At least 8 of these units must be in graduate courses (200 series). These 8 units are normally taken in the Department of Mathematics at Berkeley. In special cases, upon recommendation of the Graduate Adviser and approval of the Dean of the Graduate Division, some of the 8 graduate units may be taken in other departments.

Plan II requires at least 24 semester units of upper division and graduate courses, followed by a comprehensive final examination, the MA examination. At least 12 of these units must be in graduate courses (200 series). These 12 units are normally taken in the Department of Mathematics at Berkeley. In special cases, upon recommendation of the graduate advisor and approval of the dean of the Graduate Division, some of the 12 graduate units may be taken in other departments. All courses fulfilling the above unit requirements must have significant mathematical content. In general, MA students are encouraged to take some courses outside the Department of Mathematics. In many jobs, at least some acquaintance with statistics and computer science is essential; and, for some students, courses in such fields as engineering, biological or physical sciences, or economics are highly desirable.

A breadth requirement consisting of at least one course in each of three fields must be met by all students. Fields include algebra, analysis, geometry, foundations, history of mathematics, numerical analysis, probability and statistics, computer science, and various other fields of applied mathematics. The last category specifically covers courses in a variety of departments, and the graduate adviser may allow more than one such course to count toward the breadth requirement. A depth requirement consisting of a coherent program of three courses all in one of the above fields, at least two of these courses being at the graduate level, must be met. Students interested in a field of applied mathematics are encouraged to take some of these courses outside the department.

• Advancement to Candidacy
• Thesis (Plan I)
• Capstone/Comprehensive Exam (Plan II)
• Capstone/Master's Project (Plan II)

MATH 202A Introduction to Topology and Analysis 4 Units

Terms offered: Fall 2024, Fall 2023, Fall 2022 Metric spaces and general topological spaces. Compactness and connectedness. Characterization of compact metric spaces. Theorems of Tychonoff, Urysohn, Tietze. Complete spaces and the Baire category theorem. Function spaces; Arzela-Ascoli and Stone-Weierstrass theorems. Partitions of unity. Locally compact spaces; one-point compactification. Introduction to measure and integration. Sigma algebras of sets. Measures and outer measures. Lebesgue measure on the line and Rn. Construction of the integral. Dominated convergence theorem. Introduction to Topology and Analysis: Read More [+]

Rules & Requirements

Prerequisites: 104

Hours & Format

Fall and/or spring: 15 weeks - 3 hours of lecture per week

Additional Format: Three hours of Lecture per week for 15 weeks.

Additional Details

Subject/Course Level: Mathematics/Graduate

Grading: Letter grade.

Introduction to Topology and Analysis: Read Less [-]

MATH 202B Introduction to Topology and Analysis 4 Units

Terms offered: Spring 2024, Spring 2023, Spring 2022 Measure and integration. Product measures and Fubini-type theorems. Signed measures; Hahn and Jordan decompositions. Radon-Nikodym theorem. Integration on the line and in Rn. Differentiation of the integral. Hausdorff measures. Fourier transform. Introduction to linear topological spaces, Banach spaces and Hilbert spaces. Banach-Steinhaus theorem; closed graph theorem. Hahn-Banach theorem. Duality; the dual of LP. Measures on locally compact spaces; the dual of C(X). Weak and weak-* topologies; Banach-Alaoglu theorem. Convexity and the Krein-Milman theorem. Additional topics chosen may include compact operators, spectral theory of compact operators, and applications to integral equations. Introduction to Topology and Analysis: Read More [+]

Prerequisites: 202A and 110

MATH 204 Ordinary Differential Equations 4 Units

Terms offered: Fall 2022, Fall 2016, Spring 2016 Rigorous theory of ordinary differential equations. Fundamental existence theorems for initial and boundary value problems, variational equilibria, periodic coefficients and Floquet Theory, Green's functions, eigenvalue problems, Sturm-Liouville theory, phase plane analysis, Poincare-Bendixon Theorem, bifurcation, chaos. Ordinary Differential Equations: Read More [+]

Ordinary Differential Equations: Read Less [-]

MATH 205 Theory of Functions of a Complex Variable 4 Units

Terms offered: Spring 2024, Spring 2023, Spring 2022 Normal families. Riemann Mapping Theorem. Picard's theorem and related theorems. Multiple-valued analytic functions and Riemann surfaces. Further topics selected by the instructor may include: harmonic functions, elliptic and algebraic functions, boundary behavior of analytic functions and HP spaces, the Riemann zeta functions, prime number theorem. Theory of Functions of a Complex Variable: Read More [+]

Prerequisites: 185

Theory of Functions of a Complex Variable: Read Less [-]

MATH 206 Functional Analysis 4 Units

Terms offered: Fall 2024, Fall 2023, Fall 2022 Spectrum of an operator. Analytic functional calculus. Compact operators. Hilbert-Schmidt operators. Spectral theorem for bounded self-adjoint and normal operators. Unbounded self-adjoint operators. Banach algebras. Commutative Gelfand-Naimark theorem. Selected additional topics such as Fredholm operators and Fredholm index, Calkin algebra, Toeplitz operators, semigroups of operators, interpolation spaces, group algebras. Functional Analysis: Read More [+]

Prerequisites: 202A-202B

Additional Format: Three hours of lecture per week.

Functional Analysis: Read Less [-]

MATH 208 C*-algebras 4 Units

Terms offered: Spring 2023, Spring 2022, Spring 2021 Basic theory of C*-algebras. Positivity, spectrum, GNS construction. Group C*-algebras and connection with group representations. Additional topics, for example, C*-dynamical systems, K-theory. C*-algebras: Read More [+]

Prerequisites: 206

C*-algebras: Read Less [-]

MATH 209 Von Neumann Algebras 4 Units

Terms offered: Spring 2024, Spring 2017, Spring 2014 Basic theory of von Neumann algebras. Density theorems, topologies and normal maps, traces, comparison of projections, type classification, examples of factors. Additional topics, for example, Tomita Takasaki theory, subfactors, group actions, and noncommutative probability. Von Neumann Algebras: Read More [+]

Von Neumann Algebras: Read Less [-]

MATH 212 Several Complex Variables 4 Units

Terms offered: Fall 2023, Fall 2021, Fall 2019 Power series developments, domains of holomorphy, Hartogs' phenomenon, pseudo convexity and plurisubharmonicity. The remainder of the course may treat either sheaf cohomology and Stein manifolds, or the theory of analytic subvarieties and spaces. Several Complex Variables: Read More [+]

Prerequisites: 185 and 202A-202B or their equivalents

Several Complex Variables: Read Less [-]

MATH 214 Differential Topology 4 Units

Terms offered: Fall 2024, Spring 2024, Fall 2022 This is an introduction to abstract differential topology based on rigorous mathematical proofs. The topics include Smooth manifolds and maps, tangent and normal bundles. Sard's theorem and transversality, Whitney embedding theorem. differential forms, Stokes' theorem, Frobenius theorem. Basic degree theory. Flows, Lie derivative, Lie groups and algebras. Additional topics selected by instructor. Differential Topology: Read More [+]

Prerequisites: 202A

Differential Topology: Read Less [-]

MATH 215A Algebraic Topology 4 Units

Terms offered: Fall 2024, Fall 2023, Fall 2022 Fundamental group and covering spaces, simplicial and singular homology theory with applications, cohomology theory, duality theorem. Homotopy theory, fibrations, relations between homotopy and homology, obstruction theory, and topics from spectral sequences, cohomology operations, and characteristic classes. Sequence begins fall. Algebraic Topology: Read More [+]

Prerequisites: 113 and point-set topology (e.g. 202A)

Instructors: 113C, 202A, and 214

Algebraic Topology: Read Less [-]

MATH 215B Algebraic Topology 4 Units

Terms offered: Spring 2024, Spring 2023, Spring 2022 Fundamental group and covering spaces, simplicial and singular homology theory with applications, cohomology theory, duality theorem. Homotopy theory, fibrations, relations between homotopy and homology, obstruction theory, and topics from spectral sequences, cohomology operations, and characteristic classes. Sequence begins fall. Algebraic Topology: Read More [+]

Prerequisites: 215A, 214 recommended (can be taken concurrently)

MATH C218A Probability Theory 4 Units

Terms offered: Fall 2024, Fall 2023, Fall 2022 The course is designed as a sequence with Statistics C205B/Mathematics C218B with the following combined syllabus. Measure theory concepts needed for probability. Expection, distributions. Laws of large numbers and central limit theorems for independent random variables. Characteristic function methods. Conditional expectations, martingales and martingale convergence theorems. Markov chains. Stationary processes. Brownian motion. Probability Theory: Read More [+]

Also listed as: STAT C205A

Probability Theory: Read Less [-]

MATH C218B Probability Theory 4 Units

Terms offered: Spring 2024, Spring 2023, Spring 2022 The course is designed as a sequence with with Statistics C205A/Mathematics C218A with the following combined syllabus. Measure theory concepts needed for probability. Expection, distributions. Laws of large numbers and central limit theorems for independent random variables. Characteristic function methods. Conditional expectations, martingales and martingale convergence theorems. Markov chains. Stationary processes. Brownian motion. Probability Theory: Read More [+]

Also listed as: STAT C205B

MATH 219 Dynamical Systems 4 Units

Terms offered: Fall 2024, Fall 2023, Spring 2022 Diffeomorphisms and flows on manifolds. Ergodic theory. Stable manifolds, generic properties, structural stability. Additional topics selected by the instructor. Dynamical Systems: Read More [+]

Prerequisites: 214

Dynamical Systems: Read Less [-]

MATH 220 Introduction to Probabilistic Methods in Mathematics and the Sciences 4 Units

Terms offered: Spring 2012, Spring 2011, Spring 2010 Brownian motion, Langevin and Fokker-Planck equations, path integrals and Feynman diagrams, time series, an introduction to statistical mechanics, Monte Carlo methods, selected applications. Introduction to Probabilistic Methods in Mathematics and the Sciences: Read More [+]

Prerequisites: Some familiarity with differential equations and their applications

Introduction to Probabilistic Methods in Mathematics and the Sciences: Read Less [-]

MATH 221 Advanced Matrix Computations 4 Units

Terms offered: Fall 2024, Fall 2023, Spring 2022 Direct solution of linear systems, including large sparse systems: error bounds, iteration methods, least square approximation, eigenvalues and eigenvectors of matrices, nonlinear equations, and minimization of functions. Advanced Matrix Computations: Read More [+]

Prerequisites: Consent of instructor

Summer: 8 weeks - 6 hours of lecture per week

Additional Format: Three hours of Lecture per week for 15 weeks. Six hours of Lecture per week for 8 weeks.

Advanced Matrix Computations: Read Less [-]

MATH 222A Partial Differential Equations 4 Units

Terms offered: Fall 2024, Fall 2023, Fall 2022 The theory of boundary value and initial value problems for partial differential equations, with emphasis on nonlinear equations. Laplace's equation, heat equation, wave equation, nonlinear first-order equations, conservation laws, Hamilton-Jacobi equations, Fourier transform, Sobolev spaces. Partial Differential Equations: Read More [+]

Prerequisites: 105 or 202A

Partial Differential Equations: Read Less [-]

MATH 222B Partial Differential Equations 4 Units

Terms offered: Spring 2024, Spring 2023, Spring 2022 The theory of boundary value and initial value problems for partial differential equations, with emphasis on nonlinear equations. Second-order elliptic equations, parabolic and hyperbolic equations, calculus of variations methods, additional topics selected by instructor. Partial Differential Equations: Read More [+]

MATH C223A Advanced Topics in Probability and Stochastic Process 3 Units

Terms offered: Fall 2024, Fall 2020, Fall 2016 The topics of this course change each semester, and multiple sections may be offered. Advanced topics in probability offered according to students demand and faculty availability. Advanced Topics in Probability and Stochastic Process: Read More [+]

Prerequisites: Statistics C205A-C205B or consent of instructor

Repeat rules: Course may be repeated for credit with instructor consent.

Also listed as: STAT C206A

Advanced Topics in Probability and Stochastic Process: Read Less [-]

MATH C223B Advanced Topics in Probability and Stochastic Processes 3 Units

Terms offered: Spring 2024, Spring 2023, Spring 2022 The topics of this course change each semester, and multiple sections may be offered. Advanced topics in probability offered according to students demand and faculty availability. Advanced Topics in Probability and Stochastic Processes: Read More [+]

Also listed as: STAT C206B

Advanced Topics in Probability and Stochastic Processes: Read Less [-]

MATH 224A Mathematical Methods for the Physical Sciences 4 Units

Terms offered: Fall 2024, Fall 2023, Fall 2022 Introduction to the theory of distributions. Fourier and Laplace transforms. Partial differential equations. Green's function. Operator theory, with applications to eigenfunction expansions, perturbation theory and linear and non-linear waves. Sequence begins fall. Mathematical Methods for the Physical Sciences: Read More [+]

Prerequisites: Graduate status or consent of instructor

Instructors: 112 or 113C; 104A and 185, or 121A-121B-121C, or 120A-120B-120C.

Mathematical Methods for the Physical Sciences: Read Less [-]

MATH 224B Mathematical Methods for the Physical Sciences 4 Units

Terms offered: Spring 2015, Spring 2014, Spring 2013 Introduction to the theory of distributions. Fourier and Laplace transforms. Partial differential equations. Green's function. Operator theory, with applications to eigenfunction expansions, perturbation theory and linear and non-linear waves. Sequence begins fall. Mathematical Methods for the Physical Sciences: Read More [+]

MATH 225A Metamathematics 4 Units

Terms offered: Fall 2024, Fall 2023, Fall 2022 Metamathematics of predicate logic. Completeness and compactness theorems. Interpolation theorem, definability, theory of models. Metamathematics of number theory, recursive functions, applications to truth and provability. Undecidable theories. Sequence begins fall. Metamathematics: Read More [+]

Prerequisites: 125A and (135 or 136)

Metamathematics: Read Less [-]

MATH 225B Metamathematics 4 Units

Terms offered: Spring 2024, Spring 2023, Spring 2022 Metamathematics of predicate logic. Completeness and compactness theorems. Interpolation theorem, definability, theory of models. Metamathematics of number theory, recursive functions, applications to truth and provability. Undecidable theories. Sequence begins fall. Metamathematics: Read More [+]

MATH 227A Theory of Recursive Functions 4 Units

Terms offered: Spring 2021, Fall 2015, Fall 2013 Recursive and recursively enumerable sets of natural numbers; characterizations, significance, and classification. Relativization, degrees of unsolvability. The recursion theorem. Constructive ordinals, the hyperarithmetical and analytical hierarchies. Recursive objects of higher type. Sequence begins fall. Theory of Recursive Functions: Read More [+]

Prerequisites: Mathematics 225B

Instructor: 225C.

Theory of Recursive Functions: Read Less [-]

MATH 228A Numerical Solution of Differential Equations 4 Units

Terms offered: Fall 2024, Fall 2023, Fall 2022 Ordinary differential equations: Runge-Kutta and predictor-corrector methods; stability theory, Richardson extrapolation, stiff equations, boundary value problems. Partial differential equations: stability, accuracy and convergence, Von Neumann and CFL conditions, finite difference solutions of hyperbolic and parabolic equations. Finite differences and finite element solution of elliptic equations. Numerical Solution of Differential Equations: Read More [+]

Prerequisites: 128A

Instructor: 128A-128B.

Numerical Solution of Differential Equations: Read Less [-]

MATH 228B Numerical Solution of Differential Equations 4 Units

Terms offered: Spring 2024, Spring 2023, Spring 2022 Ordinary differential equations: Runge-Kutta and predictor-corrector methods; stability theory, Richardson extrapolation, stiff equations, boundary value problems. Partial differential equations: stability, accuracy and convergence, Von Neumann and CFL conditions, finite difference solutions of hyperbolic and parabolic equations. Finite differences and finite element solution of elliptic equations. Numerical Solution of Differential Equations: Read More [+]

MATH 229 Theory of Models 4 Units

Terms offered: Spring 2019, Spring 2015, Spring 2013 Syntactical characterization of classes closed under algebraic operations. Ultraproducts and ultralimits, saturated models. Methods for establishing decidability and completeness. Model theory of various languages richer than first-order. Theory of Models: Read More [+]

Prerequisites: 225B

Theory of Models: Read Less [-]

MATH 235A Theory of Sets 4 Units

Terms offered: Fall 2024, Spring 2024, Fall 2018 Axiomatic foundations. Operations on sets and relations. Images and set functions. Ordering, well-ordering, and well-founded relations; general principles of induction and recursion. Ranks of sets, ordinals and their arithmetic. Set-theoretical equivalence, similarity of relations; definitions by abstraction. Arithmetic of cardinals. Axiom of choice, equivalent forms, and consequences. Sequence begins fall. Theory of Sets: Read More [+]

Prerequisites: 125A and 135

Instructor: 125A and 135.

Theory of Sets: Read Less [-]

MATH 236 Metamathematics of Set Theory 4 Units

Terms offered: Fall 2021, Fall 2014, Fall 2010 Various set theories: comparison of strength, transitive, and natural models, finite axiomatizability. Independence and consistency of axiom of choice, continuum hypothesis, etc. The measure problem and axioms of strong infinity. Metamathematics of Set Theory: Read More [+]

Prerequisites: 225B and 235A

Metamathematics of Set Theory: Read Less [-]

MATH 239 Discrete Mathematics for the Life Sciences 4 Units

Terms offered: Spring 2011, Fall 2008, Spring 2008 Introduction to algebraic statistics and probability, optimization, phylogenetic combinatorics, graphs and networks, polyhedral and metric geometry. Discrete Mathematics for the Life Sciences: Read More [+]

Prerequisites: Statistics 134 or equivalent introductory probability theory course, or consent of instructor

Discrete Mathematics for the Life Sciences: Read Less [-]

MATH C239 Discrete Mathematics for the Life Sciences 4 Units

Terms offered: Spring 2013 Introduction to algebraic statistics and probability, optimization, phylogenetic combinatorics, graphs and networks, polyhedral and metric geometry. Discrete Mathematics for the Life Sciences: Read More [+]

Also listed as: MCELLBI C244

MATH 240 Riemannian Geometry 4 Units

Terms offered: Fall 2022, Fall 2021, Fall 2019 Riemannian metric and Levi-Civita connection, geodesics and completeness, curvature, first and second variations of arc length. Additional topics such as the theorems of Myers, Synge, and Cartan-Hadamard, the second fundamental form, convexity and rigidity of hypersurfaces in Euclidean space, homogeneous manifolds, the Gauss-Bonnet theorem, and characteristic classes. Riemannian Geometry: Read More [+]

Riemannian Geometry: Read Less [-]

MATH 241 Complex Manifolds 4 Units

Terms offered: Spring 2024, Spring 2023, Spring 2021 Riemann surfaces, divisors and line bundles on Riemann surfaces, sheaves and the Dolbeault theorem on Riemann surfaces, the classical Riemann-Roch theorem, theorem of Abel-Jacobi. Complex manifolds, Kahler metrics. Summary of Hodge theory, groups of line bundles, additional topics such as Kodaira's vanishing theorem, Lefschetz hyperplane theorem. Complex Manifolds: Read More [+]

Prerequisites: 214 and 215A

Complex Manifolds: Read Less [-]

MATH 242 Symplectic Geometry 4 Units

Terms offered: Fall 2024, Fall 2023, Fall 2021 Basic topics: symplectic linear algebra, symplectic manifolds, Darboux theorem, cotangent bundles, variational problems and Legendre transform, hamiltonian systems, Lagrangian submanifolds, Poisson brackets, symmetry groups and momentum mappings, coadjoint orbits, Kahler manifolds. Symplectic Geometry: Read More [+]

Symplectic Geometry: Read Less [-]

MATH C243 Seq: Methods and Applications 3 Units

Terms offered: Spring 2015, Spring 2014 A graduate seminar class in which a group of students will closely examine recent computational methods in high-throughput sequencing followed by directly examining interesting biological applications thereof. Seq: Methods and Applications: Read More [+]

Prerequisites: Graduate standing in Math, MCB, and Computational Biology; or consent of the instructor

Additional Format: <br/>

Instructor: Pachter

Also listed as: MCELLBI C243

Seq: Methods and Applications: Read Less [-]

MATH 245A General Theory of Algebraic Structures 4 Units

Terms offered: Fall 2017, Fall 2015, Spring 2014 Structures defined by operations and/or relations, and their homomorphisms. Classes of structures determined by identities. Constructions such as free objects, objects presented by generators and relations, ultraproducts, direct limits. Applications of general results to groups, rings, lattices, etc. Course may emphasize study of congruence- and subalgebra-lattices, or category-theory and adjoint functors, or other aspects. General Theory of Algebraic Structures: Read More [+]

Prerequisites: Math 113

General Theory of Algebraic Structures: Read Less [-]

MATH 249 Algebraic Combinatorics 4 Units

Terms offered: Fall 2024, Spring 2024, Spring 2023 (I) Enumeration, generating functions and exponential structures, (II) Posets and lattices, (III) Geometric combinatorics, (IV) Symmetric functions, Young tableaux, and connections with representation theory. Further study of applications of the core material and/or additional topics, chosen by instructor. Algebraic Combinatorics: Read More [+]

Prerequisites: 250A or consent of instructor

Algebraic Combinatorics: Read Less [-]

MATH 250A Groups, Rings, and Fields 4 Units

Terms offered: Fall 2024, Fall 2023, Fall 2022 Group theory, including the Jordan-Holder theorem and the Sylow theorems. Basic theory of rings and their ideals. Unique factorization domains and principal ideal domains. Modules. Chain conditions. Fields, including fundamental theorem of Galois theory, theory of finite fields, and transcendence degree. Groups, Rings, and Fields: Read More [+]

Prerequisites: 114 or consent of instructor

Groups, Rings, and Fields: Read Less [-]

MATH 250B Commutative Algebra 4 Units

Terms offered: Spring 2024, Spring 2023, Spring 2022 Development of the main tools of commutative and homological algebra applicable to algebraic geometry, number theory and combinatorics. Commutative Algebra: Read More [+]

Prerequisites: 250A

Commutative Algebra: Read Less [-]

MATH 251 Ring Theory 4 Units

Terms offered: Fall 2021, Fall 2016, Spring 2013 Topics such as: Noetherian rings, rings with descending chain condition, theory of the radical, homological methods. Ring Theory: Read More [+]

Ring Theory: Read Less [-]

MATH 252 Representation Theory 4 Units

Terms offered: Fall 2021, Fall 2020, Fall 2015 Structure of finite dimensional algebras, applications to representations of finite groups, the classical linear groups. Representation Theory: Read More [+]

Representation Theory: Read Less [-]

MATH 253 Homological Algebra 4 Units

Terms offered: Spring 2023, Fall 2016, Fall 2014 Modules over a ring, homomorphisms and tensor products of modules, functors and derived functors, homological dimension of rings and modules. Homological Algebra: Read More [+]

Homological Algebra: Read Less [-]

MATH 254A Number Theory 4 Units

Terms offered: Fall 2024, Fall 2023, Fall 2022 Valuations, units, and ideals in number fields, ramification theory, quadratic and cyclotomic fields, topics from class field theory, zeta-functions and L-series, distribution of primes, modular forms, quadratic forms, diophantine equations, P-adic analysis, and transcendental numbers. Sequence begins fall. Number Theory: Read More [+]

Prerequisites: 250A for 254A; 254A for 254B

Instructor: 250A.

Number Theory: Read Less [-]

MATH 254B Number Theory 4 Units

Terms offered: Spring 2024, Spring 2023, Spring 2022 Valuations, units, and ideals in number fields, ramification theory, quadratic and cyclotomic fields, topics from class field theory, zeta-functions and L-series, distribution of primes, modular forms, quadratic forms, diophantine equations, P-adic analysis, and transcendental numbers. Sequence begins fall. Number Theory: Read More [+]

Prerequisites: 254A

MATH 255 Algebraic Curves 4 Units

Terms offered: Fall 2022, Spring 2019, Fall 2014 Elliptic curves. Algebraic curves, Riemann surfaces, and function fields. Singularities. Riemann-Roch theorem, Hurwitz's theorem, projective embeddings and the canonical curve. Zeta functions of curves over finite fields. Additional topics such as Jacobians or the Riemann hypothesis. Algebraic Curves: Read More [+]

Prerequisites: 250A-250B or consent of instructor

Algebraic Curves: Read Less [-]

MATH 256A Algebraic Geometry 4 Units

Terms offered: Fall 2024, Fall 2023, Fall 2022 Affine and projective algebraic varieties. Theory of schemes and morphisms of schemes. Smoothness and differentials in algebraic geometry. Coherent sheaves and their cohomology. Riemann-Roch theorem and selected applications. Sequence begins fall. Algebraic Geometry: Read More [+]

Prerequisites: 250A-250B for 256A; 256A for 256B

Algebraic Geometry: Read Less [-]

MATH 256B Algebraic Geometry 4 Units

Terms offered: Spring 2024, Spring 2023, Spring 2022 Affine and projective algebraic varieties. Theory of schemes and morphisms of schemes. Smoothness and differentials in algebraic geometry. Coherent sheaves and their cohomology. Riemann-Roch theorem and selected applications. Sequence begins fall. Algebraic Geometry: Read More [+]

Prerequisites: 256A

MATH 257 Group Theory 4 Units

Terms offered: Spring 2021, Spring 2018, Spring 2014 Topics such as: generators and relations, infinite discrete groups, groups of Lie type, permutation groups, character theory, solvable groups, simple groups, transfer and cohomological methods. Group Theory: Read More [+]

Group Theory: Read Less [-]

MATH 258 Harmonic Analysis 4 Units

Terms offered: Fall 2023, Fall 2021, Fall 2020 Basic properties of Fourier series, convergence and summability, conjugate functions, Hardy spaces, boundary behavior of analytic and harmonic functions. Additional topics at the discretion of the instructor. Harmonic Analysis: Read More [+]

Prerequisites: 206 or a basic knowledge of real, complex, and linear analysis

Harmonic Analysis: Read Less [-]

MATH 261A Lie Groups 4 Units

Terms offered: Fall 2024, Fall 2023, Fall 2022 Lie groups and Lie algebras, fundamental theorems of Lie, general structure theory; compact, nilpotent, solvable, semi-simple Lie groups; classification theory and representation theory of semi-simple Lie algebras and Lie groups, further topics such as symmetric spaces, Lie transformation groups, etc., if time permits. In view of its simplicity and its wide range of applications, it is preferable to cover compact Lie groups and their representations in 261A. Sequence begins Fall. Lie Groups: Read More [+]

Instructor: 214.

Lie Groups: Read Less [-]

MATH 261B Lie Groups 4 Units

Terms offered: Spring 2024, Spring 2023, Spring 2022 Lie groups and Lie algebras, fundamental theorems of Lie, general structure theory; compact, nilpotent, solvable, semi-simple Lie groups; classification theory and representation theory of semi-simple Lie algebras and Lie groups, further topics such as symmetric spaces, Lie transformation groups, etc., if time permits. In view of its simplicity and its wide range of applications, it is preferable to cover compact Lie groups and their representations in 261A. Sequence begins Fall. Lie Groups: Read More [+]

MATH 270 Advanced Topics Course in Mathematics 2 Units

Terms offered: Spring 2024, Fall 2023, Spring 2023 This course will give introductions to research-related topics in mathematics. The topics will vary from semester to semester. Advanced Topics Course in Mathematics: Read More [+]

Repeat rules: Course may be repeated for credit when topic changes.

Fall and/or spring: 15 weeks - 1.5 hours of lecture per week

Additional Format: One and one-half hours of lecture per week.

Grading: Offered for satisfactory/unsatisfactory grade only.

Advanced Topics Course in Mathematics: Read Less [-]

MATH 272 Interdisciplinary Topics in Mathematics 1 - 4 Units

Terms offered: Fall 2023, Spring 2019 Advanced topics chosen by the instructor. The content of this course changes, as in the case of seminars. Interdisciplinary Topics in Mathematics: Read More [+]

Repeat rules: Course may be repeated for credit without restriction.

Fall and/or spring: 15 weeks - 3-3 hours of lecture per week

Interdisciplinary Topics in Mathematics: Read Less [-]

MATH 273 Topics in Numerical Analysis 4 Units

Terms offered: Spring 2022, Spring 2016, Spring 2014 Advanced topics chosen by the instructor. The content of this course changes, as in the case of seminars. Topics in Numerical Analysis: Read More [+]

Topics in Numerical Analysis: Read Less [-]

MATH 274 Topics in Algebra 4 Units

Terms offered: Fall 2024, Fall 2023, Spring 2023 Advanced topics chosen by the instructor. The content of this course changes, as in the case of seminars. Topics in Algebra: Read More [+]

Topics in Algebra: Read Less [-]

MATH 275 Topics in Applied Mathematics 4 Units

Terms offered: Spring 2024, Spring 2023, Fall 2021 Advanced topics chosen by the instructor. The content of this course changes, as in the case of seminars. Topics in Applied Mathematics: Read More [+]

Topics in Applied Mathematics: Read Less [-]

MATH 276 Topics in Topology 4 Units

Terms offered: Spring 2021, Fall 2017, Spring 2016 Advanced topics chosen by the instructor. The content of this course changes, as in the case of seminars. Topics in Topology: Read More [+]

Topics in Topology: Read Less [-]

MATH 277 Topics in Differential Geometry 4 Units

Terms offered: Spring 2023, Fall 2022, Fall 2021 Advanced topics chosen by the instructor. The content of this course changes, as in the case of seminars. Topics in Differential Geometry: Read More [+]

Topics in Differential Geometry: Read Less [-]

MATH 278 Topics in Analysis 4 Units

Terms offered: Fall 2024, Spring 2024, Fall 2021 Advanced topics chosen by the instructor. The content of this course changes, as in the case of seminars. Topics in Analysis: Read More [+]

Topics in Analysis: Read Less [-]

MATH 279 Topics in Partial Differential Equations 4 Units

Terms offered: Fall 2023, Spring 2023, Fall 2022 Advanced topics chosen by the instructor. The content of this course changes, as in the case of seminars. Topics in Partial Differential Equations: Read More [+]

Topics in Partial Differential Equations: Read Less [-]

MATH 290 Seminars 1 - 6 Units

Terms offered: Spring 2017, Spring 2015, Fall 2014 Topics in foundations of mathematics, theory of numbers, numerical calculations, analysis, geometry, topology, algebra, and their applications, by means of lectures and informal conferences; work based largely on original memoirs. Seminars: Read More [+]

Fall and/or spring: 15 weeks - 0 hours of seminar per week

Additional Format: Hours to be arranged.

Seminars: Read Less [-]

MATH 295 Individual Research 1 - 12 Units

Terms offered: Summer 2016 10 Week Session, Spring 2016, Fall 2015 Intended for candidates for the Ph.D. degree. Individual Research: Read More [+]

Fall and/or spring: 15 weeks - 1-12 hours of independent study per week

Summer: 3 weeks - 5 hours of independent study per week 6 weeks - 2.5-30 hours of independent study per week 8 weeks - 1.5-60 hours of independent study per week

Grading: The grading option will be decided by the instructor when the class is offered.

Individual Research: Read Less [-]

MATH N295 Individual Research 0.5 - 5 Units

Terms offered: Summer 2022 8 Week Session, Summer 2021 8 Week Session, Summer 2006 10 Week Session Intended for candidates for the Ph.D. degree. Individual Research: Read More [+]

Summer: 8 weeks - 1-5 hours of independent study per week

MATH N297 General Academic Internship 0.5 Units

Terms offered: Prior to 2007 This is an independent study course designed to provide structure for graduate students engaging in summer internship opportunities. Requires a paper exploring how the theoretical constructs learned in academic courses were applied during the internship. General Academic Internship: Read More [+]

Summer: 8 weeks - 2.5 hours of independent study per week

Additional Format: Two and one-half hours of independent study per week for 8 weeks.

General Academic Internship: Read Less [-]

MATH 299 Reading Course for Graduate Students 1 - 6 Units

Terms offered: Fall 2018, Fall 2017, Fall 2016 Investigation of special problems under the direction of members of the department. Reading Course for Graduate Students: Read More [+]

Fall and/or spring: 15 weeks - 0 hours of independent study per week

Summer: 6 weeks - 1-5 hours of independent study per week 8 weeks - 1-4 hours of independent study per week

Reading Course for Graduate Students: Read Less [-]

MATH 301 Undergraduate Mathematics Instruction 1 - 2 Units

Terms offered: Fall 2018, Spring 2018, Fall 2017 May be taken for one unit by special permission of instructor. Tutoring at the Student Learning Center or for the Professional Development Program. Undergraduate Mathematics Instruction: Read More [+]

Prerequisites: Permission of SLC instructor, as well as sophomore standing and at least a B average in two semesters of calculus. Apply at Student Learning Center

Repeat rules: Course may be repeated for credit up to a total of 4 units.

Fall and/or spring: 15 weeks - 3 hours of seminar and 4 hours of tutorial per week

Additional Format: Three hours of Seminar and Four hours of Tutorial per week for 15 weeks.

Subject/Course Level: Mathematics/Professional course for teachers or prospective teachers

Grading: Offered for pass/not pass grade only.

Undergraduate Mathematics Instruction: Read Less [-]

MATH 302 Teaching Workshop 1 Unit

Terms offered: Summer 2002 10 Week Session, Summer 2001 10 Week Session Mandatory for all graduate student instructors teaching summer course for the first time in the Department. The course consists of practice teaching, alternatives to standard classroom methods, guided group and self-analysis, classroom visitations by senior faculty member. Teaching Workshop: Read More [+]

Summer: 8 weeks - 1 hour of lecture per week

Additional Format: One hour of Lecture per week for 8 weeks.

Teaching Workshop: Read Less [-]

MATH 303 Professional Preparation: Supervised Teaching of Mathematics 2 - 4 Units

Terms offered: Spring 2017, Spring 2016, Fall 2015 Meeting with supervising faculty and with discussion sections. Experience in teaching under the supervision of Mathematics faculty. Professional Preparation: Supervised Teaching of Mathematics: Read More [+]

Prerequisites: 300, graduate standing and appointment as a Graduate Student Instructor

Fall and/or spring: 15 weeks - 2-4 hours of independent study per week

Additional Format: No formal meetings.

Professional Preparation: Supervised Teaching of Mathematics: Read Less [-]

MATH 600 Individual Study for Master's Students 1 - 6 Units

Terms offered: Summer 2006 10 Week Session, Fall 2005, Spring 2005 Individual study for the comprehensive or language requirements in consultation with the field adviser. Individual Study for Master's Students: Read More [+]

Prerequisites: For candidates for master's degree

Credit Restrictions: Course does not satisfy unit or residence requirements for master's degree.

Fall and/or spring: 15 weeks - 1-6 hours of independent study per week

Summer: 8 weeks - 1.5-10 hours of independent study per week

Subject/Course Level: Mathematics/Graduate examination preparation

Individual Study for Master's Students: Read Less [-]

MATH 602 Individual Study for Doctoral Students 1 - 8 Units

Terms offered: Fall 2019, Fall 2018, Fall 2016 Individual study in consultation with the major field adviser intended to provide an opportunity for qualified students to prepare themselves for the various examinations required for candidates for the Ph.D. Course does not satisfy unit or residence requirements for doctoral degree. Individual Study for Doctoral Students: Read More [+]

Prerequisites: For qualified graduate students

Fall and/or spring: 15 weeks - 1-8 hours of independent study per week

Additional Format: One to Eight hour of Independent study per week for 15 weeks.

Individual Study for Doctoral Students: Read Less [-]

Contact Information

Department of mathematics.

970 Evans Hall

Phone: 510-642-6550

Department Chair

Martin Olsson

953 Evans Hall

Phone: 510-642-4129

[email protected]

Vice-Chair for Graduate Affairs

Thomas Scanlon

723 Evans Hall

[email protected]

Graduate Student Affairs Officer - Academic Advising

Clay Calder

910 Evans Hall

Phone: 510-642-0665

[email protected]

Graduate Student Affairs Officer - Funding & Employment

Christian Natividad

914 Evans Hall

[email protected]

Print Options

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The School of Information is UC Berkeley’s newest professional school. Located in the center of campus, the I School is a graduate research and education community committed to expanding access to information and to improving its usability, reliability, and credibility while preserving security and privacy.

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The School of Information offers four degrees:

The Master of Information Management and Systems (MIMS) program educates information professionals to provide leadership for an information-driven world.

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Our Ph.D. in Information Science is a research program for next-generation scholars of the information age.

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The School of Information's courses bridge the disciplines of information and computer science, design, social sciences, management, law, and policy. We welcome interest in our graduate-level Information classes from current UC Berkeley graduate and undergraduate students and community members.  More information about signing up for classes.

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Research by faculty members and doctoral students keeps the I School on the vanguard of contemporary information needs and solutions.

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Funding Your Ph.D. Education

At the I School, all our Ph.D. students receive funding packages with a minimum of six years of financial support through a combination of fellowships, research positions, and academic student employment. Details of individual funding packages may vary; in order to take full advantage of offered funding, students need to remain in good academic standing and advance to doctoral candidacy in normative time to degree, and may need to meet other funding conditions of specific fellowships or positions.

In the first year, I School Ph.D. students receive fellowship support to cover all tuition and fees, including Non-Resident Supplemental Tuition and the Student Health Insurance Fee, and a stipend for living expenses. For the academic year 2023–2024, the minimum first-year I School Ph.D. student 12-month stipend is $40,000.

After the first year, Ph.D. students are typically funded through graduate student academic appointments or research positions for up to four years (eight semesters). In addition to an hourly wage, students receive fee remission that offsets a portion or all of their tuition and fees. For more information, see Graduate Student Academic Appointments and Fee Remission .

Some students continue their research positions during the summer. The I School also offers limited summer grant opportunities for Ph.D. students who have no other summer funding sources secured.

After Ph.D. students pass their qualifying exam and advance to doctoral candidacy, the Berkeley Doctoral Completion Fellowship (DCF) provides eligible students with one year (two semesters) of tuition remission and a stipend for living expenses. Students are expected to make every effort to meet DCF eligibility conditions in order to take advantage of this funding opportunity.

The University also awards through competition a limited number of merit- and need-based fellowships each year. See University Fellowships for further details.

Tuition and fees listed reflect currently approved amounts; these figures may not be final. Actual tuition, fees, and charges are subject to change. Students should expect fees to increase moderately each fall term.

* Students may opt out of the UCGPC fee .

** Students have the option to waive the Student Health Insurance Plan (SHIP) if they have other major medical health insurance that meet the SHIP waiver criteria and don't wish to have dual coverage. For waiver qualifications, instructions, forms, and FAQs, please see Waiving SHIP .

*** The Document Management Fee is a one-time fee charged in the first term of enrollment.

For additional information on the cost of attendance, please visit: Financial Aid and Scholarships Office Cost of Attendance .

California residents, for purposes of registration, are those who have been legal residents of California for at least one year immediately before the opening day of the semester for which they register. Legal residence is a combination of physical presence and the intention of making the state one’s permanent home, coupled with the relinquishment of legal residence in any other state.

Eligible Ph.D. students are expected to establish California residency for tuition purposes by their second year of the program.

International students with F-1 visas cannot be classified as California residents for tuition purposes.

More Information:

• Residency (for Tuition Purposes)
• How to Apply for Residency (for Tuition Purposes)
• Residency Requirements: Graduate Students
• Immigration
• Exceptions & Exemptions

Financial Aid

Graduate students may apply for need-based loans and work-study through the Financial Aid Office. The programs are based on demonstrated financial need and require a Free Application for Federal Student Aid (FAFSA). Only U.S. citizens and eligible non-citizens (those holding permanent resident cards) may apply for funds administered by the Financial Aid Office. Financial aid can include work-study, loans, the Native American Opportunity Plan , and other sources of financial aid.

• More information

If you are employed by a U.S. federal, state, local, or tribal government or not-for-profit organization, you may be eligible for the Public Service Loan Forgiveness Program. Learn more  here .

Additional Fellowships

In addition to the first-year fellowship and academic student employment, Ph.D. students may supplement their funding by applying for additional internal and external fellowships. Some university restrictions on combining funding opportunities apply; students are encouraged to consult our admissions staff with questions about specific conjunctions of funding.

Fellowships for I School Students

All admitted Ph.D. applicants will automatically be considered for the Hal Varian endowment .

The I School awards a variety of fellowships to I School students.

List of I School fellowship opportunities

External Fellowships

Students are encouraged to apply for external fellowship opportunities as relevant. Below are several examples of external fellowships that our I School Ph.D. students have successfully obtained:

• Facebook Fellowship
• Fulbright Study/Research Award
• Hertz Fellowship
• Marcus Foster Fellowship
• NSF Graduate Research Fellowship Program
• Peter Lyman Fellowship for New Media
• Soros Fellowships for New Americans
• UC Berkeley Mentored Research Award

Our Ph.D. students have also received grants from the following organizations and centers:

PhD Stipend Survey Results

The living wage ratio (LW ratio) normalizes each gross pay entry to the local living wage. The purpose is to allow you to quickly compare the pay received by students at universities in different cost-of-living areas. See the FAQ for more information.

Show/Hide gross pay details.

PhD Financial Support

While funding packages vary by student, all admitted Ph.D. students receive up to five years of financial support through a combination of fellowships, Graduate Student Instructor (GSI) appointments, also known as teaching assistantships, and Graduate Student Researcher (GSR) appointments, also known as research assistantships. Funding consist of full payment of tuition and fees which include Student Health Insurance Program (SHIP) fees, Student Services fee, Campus fees, Class Pass fee, and Non-Resident Supplemental Tuition (NRST), and a living stipend. All funding packages are contingent on making satisfactory progress throughout the tenure of support.

As part of the funding package, U.S. citizens and Permanent Residents are expected to establish California residency at the end of their first year in California and to maintain residency throughout their studies. The NRST will not be paid for students beyond the first year (except for international students who are not eligible for California residency).

We encourage applicants to apply for fellowships from sources other than U.C. Berkeley. U.S. citizens and permanent residents are particularly encouraged to apply fellowships such as the National Science Foundation (NSF), Graduate Fellowships for STEM Diversity (GFSD), and the National Defense Science Engineering (NDSEG) fellowships.

Tuition/Fees/Cost of Attendance

Tuition and fees.

Current tuition and fees for Ph.D. students can be found on the Office of the Registrar's website (under "Graduate Academic" fee schedule). All tuition & fees are subject to change.

As a condition of enrollment all registered students at the University of California are required to meet the university’s health insurance mandate. Registered UC Berkeley graduate students are automatically enrolled in the Berkeley Student Health Insurance Plan (SHIP) as a way to meet this mandate but you may be eligible to waive enrollment in SHIP if you already have comparable insurance coverage that satisfies the University's requirement. Visit the Student Health Insurance Plan for more information.

Living Expenses

The UC Berkeley Financial Aid and Scholarships Office provides an annual estimate of the Cost of Attendance also known as the Graduate Student Budget which include living expenses for graduate students. This includes housing, utilities, food, books, supplies, personal, and transportation costs. Your expenses may be lower or higher depending on your lifestyle. The Graduate Student Budget is used to help determine the amount of financial aid you may be eligible to receive.

Residency for Tuition Purposes

Admitted PhD students who are U.S. citizens or permanent residents are expected to establish California residency by the end of their first year in California and maintain residency throughout their studies. Nonresident Supplemental Tuition (NRST) for out-of-state students will only be covered for the first year. International students with F-1 or J-1 visas/nonimmigrant status are not eligible to establish residency.

You must start the process of fulfilling the residency requirements as soon as you arrive. In order to meet the University of California residency requirements, graduate students must be in an eligible immigration status and satisfy the "Physical Presence" and "Intent to Remain in California" requirements by the residence determination date, which is the first day of instruction.

The residency classification process is not automatic. Visit the Registrar's Office to learn more about Applying for Residency (for Tuition Purposes) .

Financial Aid

Federal Student Loan Programs provide the major source of need-based financial aid funding for graduate students. Berkeley participates in the Federal Direct Student Loan and Work-Study Programs, which are administered by the Financial Aid and Scholarships Office .

Financial Aid for International Students

All F-1 and J-1 international students are required to show proof of funding for a minimum of one year with the expectation that they will continue to have access to that funding throughout their education. In some cases, there are unexpected changes in a student's financial situation that require them to seek external support to continue their studies. Visit the Financial Aid for International Students page.

Department Funding

Statistics ph.d. graduate student funding policy, ph.d. funding policy .

The PhD Graduate Student Funding Policy can only be viewed by current Statistics PhD students and faculty by clicking the following link (you must be logged in to your @berkeley.edu account): Current Ph.D. Funding Policy

Fellowships and Awards

Entering (newly admitted) students.

All admitted students are automatically considered fellowships and awards during the admissions review process. Fellowship offers are generally made to applicants in their department admissions offer.

Continuing Students

Continuing students are automatically considered for departmental awards which are distributed throughout the year.

Graduate Student Academic Employment

Most financial support will be a combination of Academic Student Employment (ASE) positions such as a Graduate Student Instructor (GSI) and Graduate Student Researcher (GSR).

Students must meet certain academic requirements and other eligibility criteria to qualify for graduate student academic employment. Graduate students are also subject to Graduate Council and Graduate Division policies regarding appointments including minimum enrollment requirements and limitations on percentage of appointment.

See our Student Positions hiring page for more information.

Travel Grants

The kag graduate student travel fund.

In 2002 Dr. Kamil A. Grajski (Berkeley Ph.D. ’87), acting upon the suggestion of his mentor and friend Dr. Leo Breiman, established this fund to support travel for graduate students in the Department of Statistics.

Eligibility and Criteria

• Must be a PhD student in Statistics
• Normally a student would receive a travel grant once during the course of their studies.
• Grant amounts will depend on the location of the proposed travel, but will generally be no more than $750 for travel within California, up to $1,000 for travel elsewhere in North America, and up to $1,500 for international travel.
• There are a limited number of awards given each year
• Priority will be given to students conducting or presenting research

Application

To apply, please complete the  KAG Graduate Student Travel Grant Application  which will be reviewed by the PhD Program Coordinator

• purpose of the trip and approximate budget
• written endorsement of a faculty advisor (via email)

The request can be made to cover travel, lodging and conference/registration fees.

Reimbursement and Report

A short report on the experience and how the trip benefited your studies must be submitted to the PhD Program Coordinator . All original receipts for which reimbursement is being requested or for which direct payment was made by the University must be turned in within 45 days after completion of travel.

Past Recipients & Reports:

• 2019 Lihua Lei
• 2018 Geno Guerra, Kellie Ottoboni
• 2015 Arturo Fernandez-Zuniga, Soeren Kuenzel, Miklos Racz
• 2014 Yuting Wei
• 2013 Hye Soo Choi, Wenpin Tang
• 2012 Yuval Benjamini
• 2009 Garvesh Raskutti, Chinghway Lim, Yueqing Wang, Ying Xu
• 2008 Choongsoon Bae, Jing Lei, Shankar Bhamidi, Vince Vu
• 2007 Ron Peled
• 2006 Na Xu, Peng Zhao, Donghui Yan
• 2005 Bo Li, Guilherme Rocha
• 2003 Chao Chen, Apratim Guha
• 2002 Alan Hammond, Serban Nacu, Gabor Pete, Lea Popovic

Industry Fellowships

There are industry fellowships PhD students are eligible to apply for directly through the department thanks to the generous support of our industry partners. You can find more information on our Industrial Relations page.

Additional Financial Resources

Graduate division.

An extensive list of campus and extramural fellowships and awards along with their corresponding deadlines and application materials can be found on Graduate Division's Graduate Fellowships and Awards page.

Campus Travel Grants

Graduate assembly travel award.

The Graduate Assembly (GA) offers up to $300 in travel reimbursement for registered graduate students presenting at a conference outside of the San Francisco Bay Area. Visit the GA Funding Information and Application for more information.

Graduate Division Conference Travel Grant

PhD students may apply for Graduate Division funding to attend professional conferences if they are presenting a poster or paper. Grant amounts depend on location of conference (up to $600 within California; $900 elsewhere in North America, including Canada or Mexico; $1,500 outside of North America). Doctoral students are eligible for two grants per academic career. Students must be in good academic standing, and must be registered for the term in which they are planning to attend the conference, which also includes payment of fees/tuitions. Students on filing fee are not eligible. Applications are due at least three weeks before date of travel. Visit the Doctoral Conference Travel Grant Application (CalNet login required) for more information.

Extramural Fellowships

Extramural fellowships are those awarded by governmental agencies, private foundations, and corporations. Many extramural fellowships are open to international students. Others, such as the National Science Foundation Graduate Research Fellowship and some government-sponsored fellowships, are awarded only to U.S. citizens.

The following are a few fellowships that might of interests to Statistics PhD students:

DOE Office of Science Graduate Student Research (SCGSR) program The SCGSR program supports supplemental awards to outstanding U.S. graduate students to conduct part of their graduate thesis research at a DOE national laboratory in collaboration with a DOE laboratory scientist for a period of 3 to 12 consecutive months—with the goal of preparing graduate students for scientific and technical careers critically important to the DOE Office of Science mission.

Fannie and John Hertz Foundation Graduate Fellowships Open to U.S. citizens in the applied and physical sciences who have a record of high scholastic performance. Provides a stipend, tuition, and fees.

Ford Foundation Predoctoral Diversity Fellowships Three year fellowships for U.S. citizens or nationals who have demonstrated superior academic achievement, are committed to a career in teaching and research at the college or university level, show promise of future achievement as scholars and teachers, and are well prepared to use diversity as a resource for enriching the education of all students.

Ford Foundation Dissertation Diversity Fellowships One year dissertation fellowships for U.S. citizens or nationals who have demonstrated superior academic achievement, are committed to a career in teaching and research at the college or university level, show promise of future achievement as scholars and teachers, and are well prepared to use diversity as a resource for enriching the education of all students. Provides a $28,000 stipend.

NSF Graduate Research Fellowships Awarded for study in mathematical, physical, biological, and social sciences; engineering; science education; and in the history and philosophy of science. For U.S. citizens, nationals, and permanent residents at or near the beginning of graduate study. Three years of support.

National Physical Science Consortium Fellowship The NPSC offers Ph.D.-track fellowships in the physical sciences and related engineering fields. It is open to all qualified U.S. citizens, with an emphasis on recruiting applications from historically underrepresented minorities. NPSC Fellows will receive one or two paid summer internships, as well as tuition, fees, and stipends for up to six years.

Financial Aid

The Department of Geography strives to support every student admitted to the program, within the constraints of available resources. Support typically includes some work as a teaching assistant or research assistant and some fellowship stipend to allow students time for their own work.

Students with the most successful academic records are nominated for, and generally receive,  multi-year university fellowships  of stipends plus tuition for two years. Combined with department support in the form of teaching or research assistantships and stipends for two more years, these provide four years of support, with a fifth year of stipend for advancing to candidacy within normative time. You can read more about other type’s of fellowships and support on the  Graduate Division Fellowships page .

Other students are typically offered at least one semester of teaching assistantship and one semester of full or partial stipend for the first three years, with a fourth year of stipend for advancing to candidacy within normative time.

In later years, the department and dissertation advisors support students in applying for any national grants for which they are eligible. Over the last ten years, our students have been awarded an average of around $100,000 a year in extramural funding. In addition, we have enough teaching assistantships for advanced students to bridge gaps in fellowship support.

STUDENT PARENTS

If you have children, you are eligible for various forms of aid from the Graduate Division – above and beyond any Department support.

One of the most important is a “Parent Grant” which provides up to $8,000 of additional stipend per academic year for child support. There is also subsidized Family Student Housing and Day Care. For more information and deadlines see the  Financial Support for Student Parents page.

Other Graduate Division resources, including Childbirth Accommodation Funding, are found in the  Families Matter’s Resource Guide .

(DS421) NSF RESEARCH TRAINING PROGRAM

DS421 is an two-year interdisciplinary graduate training program with the mission to prepare a new generation of researchers and policy makers to address challenges at the intersection of natural, social and data sciences by translating data into evidence-based analysis of impacts and solutions.  The DS421 program is open to incoming and first year PhD students from all departments and schools at UC Berkeley. 

The program seeks a diverse cohort of students with a desire to pursue interdisciplinary research addressing coupled human-natural systems with a strong quantitative, data science component.  Applicants should have a background in one or more of the following areas: natural or environmental science, social science, public policy, landscape architecture, environmental planning, statistics, computer science, or related fields.

MSW Stipend and Training Programs

Uc berkeley social welfare participates in a number of training programs. , prospective students interested in participating in any of our training programs may be asked to submit supplemental application materials, either as part of your graduate admission application or following admission into our program., berkeley social welfare does not guarantee the availability of these programs. the training programs are pending external funder and uc berkeley approval., california department of social services title iv-e program.

The Title IV-E, or Child Welfare Scholars, program provides financial and training support to graduate social work students who intend to pursue or continue a career in the field of public child welfare. Students selected to participate as Child Welfare Scholars receive an annual training stipend (currently $25,000 per year for up to two academic years), in exchange for a post-graduation work commitment of at least two years in a California county public child welfare service agency.

For more information on eligibility requirements and post-graduate work commitments, please review our  Child Welfare Scholar s (Title IV-E) program  page. 

CHILD WELFARE SCHOLARS PROGRAM CONTACT

[email protected]

Health Resources and Services Administration Center for Excellence for Behavioral Health Equity (HRSA-COEBHE) Program

The COEBHE program provides financial and training support to graduate social work students from underrepresented backgrounds who are committed to pursuing a career in behavioral health while supporting underserved populations. Students selected to participate receive $8,000-$10,000 annually for one academic year. Students selected must be willing to mentor undergraduates interested in behavioral health and social work and participate in Center and community activities.

For more information, please contact our Admissions Office. Current students should contact their GSAO.

Health Care Access and Information Social Work Education Capacity Expansion (HCAI-SWECE) Program

The HCAI-SWECE program provides financial and training support to graduate social work students interested in serving underserved populations, with a focus on children and youth ages 25 and under, in their academic and professional career. Students selected to participate receive $18,500 annually for up to two academic  years. Students selected are highly encouraged to serve underserved populations, with a focus on children and youth ages 25 and under, in their practicums while they are MSW students and post-graduation.

Health Care Access and Information Public Behavioral Health (HCAI-PBH) Program

The HCAI-PBH program provides financial and training support to social work students interested in working in public behavioral health in their academic and professional career. Students selected to participate receive an annual training stipend of $25,000 in exchange for a post-graduation work commitment of at least one year in a master’s level position providing publicly funded behavioral health services.

California Department of Social Services Adult Protective Services (APS) Program

The APS program provides financial and training support to social work students interested in working with older adults in Adult Protective Services in their academic and professional career. Students selected to participate receive an annual training stipend of $20,000 in exchange for a post-graduation work commitment of at least one year in a California county public adult protective services agency.

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August 1, 2024

Welcome from Berkeley’s Office for Graduate Diversity

By Martha Chavez

Supporting our diverse and vibrant community

I am so excited to welcome you to Berkeley. As the Assistant Dean for Graduate Diversity, I want to ensure that you feel connected and have a sense of community that is meaningful to you and helps you to thrive at Berkeley. I, along with the Office for Graduate Diversity (OGD) team are thrilled to have you as part of our diverse and vibrant community.

The Office for Graduate Diversity provides programs, resources, and connections to support a thriving and inclusive educational experience for underrepresented students, including those who are first-generation, low-income, undocumented, and those who face educational and financial challenges.

Join the OGD Email List Sign up for our email list to learn about our programs, resources, funding opportunities and community-building activities and events (like our Graduate Diversity Welcome Reception on September 3).

Join our email list

Contact Us  Our dedicated staff and campus diversity directors provide ongoing mentoring, resources, and support to help you navigate Berkeley. If you have any questions, want to get involved, or need support – please contact us at:  [email protected] .

OGD Resources and Programs

Inclusive Excellence Hub Located at 2515 Channing way, the Hub is a welcoming environment specifically for graduate students to find camaraderie and build multi-disciplinary networks of their peers. You can find reservable study rooms, privacy booths, a family room, free printing, coffee, tea and snacks.

Path to the Professoriate Program Exclusive opportunity for first-year PhD students. This program provides mentorship, professional development workshops, and guidance to build concrete roadmaps for graduate school success and to navigate an academic career. P2P participants receive a $1,000 stipend. Applications are due August 12 –  Apply Now .

American Indian Graduate Program This program offers support and resources specifically tailored for American Indian, Alaska Native, and Indigenous graduate students, including mentorship, guidance, and cultural events.

UndocuGrads UndocuGrads is a supportive outlet offering resources, legal assistance, and community-building opportunities to create an environment where graduate students can thrive regardless of their immigration status.

Inclusive Excellence in Quals Prep Program Preparing for qualifying exams can be challenging, but our program is here to help. We offer workshops, study groups, and other resources to help you excel in your exams.

STEM*FYI A program aimed at supporting underrepresented students in STEM fields. We offer workshops, mentoring, networking, and funding opportunities.

Diversity and Community Fellows Connect with a peer through our Diversity and Community Fellows program. These fellows are experienced graduate students who can provide one-on-one support, mentorship, and guidance as you navigate your academic and social life on campus. It’s a great way to build connections and get personalized advice.

We encourage you to explore these resources and participate in the programs that interest you. If you have any questions or need assistance, please don’t hesitate to reach out to us.

Warm regards,

Martha Chavez Director of the Office for Graduate Diversity Assistant Dean for Graduate Diversity Berkeley Graduate Division

Upcoming Events

August 19-20, 27.

New Graduate Student Orientation UC Berkeley’s New Graduate Student Orientation (NGSO) is designed to supplement orientations that are held by your academic department, school, or program. NGSO will be virtual on Aug 19-20, and in-person on Aug 27.

Primer to the Office for Graduate Diversity This session will provide an overview of the Office for Graduate Diversity’s resources and programs available to underrepresented, first-generation, and low-income graduate students

Fall Teaching Conferences for First-Time International GSIs

Teaching Conference for All First-Time GSIs