With a PhD in Mathematics from Claremont Graduate University, you will join a community of highly educated, capable scientists who excel at communicating knowledge to students, fellow mathematicians, and the global community.

CGU’s Institute of Mathematical Sciences (IMS) trains scientists in fundamental areas of mathematics and develops expertise in specialized areas of interest. You will learn to recognize significant research problems, formulate solutions, and transmit successful outcomes to others. Throughout the program, you will conduct collaborative research alongside faculty with extensive backgrounds in applied mathematics, computational science, statistics, financial engineering, industrial modeling, and more. Our mathematics graduates are ready to assume leadership roles in education, industry, government, technology, and more.

Program at a Glance

UNITS
72 units

COMPLETION TIME
3–5 years

TUITION
Cost Per Unit 2017–2018: $1,902

COURSES BEGIN
Fall

DEGREE AWARDED
PhD in Mathematics

Featured Courses

MATH 452
Large-Scale Inference

Studies Bayesian hierarchical models and Empirical Bayesian approaches, as well as theory and application of multiple hypothesis testing such as false discovery rate.

MATH 368
Numerical Methods for Matrix Computations

Examines numerical linear algebra and the matrix computations that arise in solving linear systems, least-squares problems, and eigenvalue problems for both dense and sparse matrices.

MATH 294
Methods of Applied Mathematics

Examines broad range of subjects in applied mathematics, including quasilinear hyperbolic equations, Laplace, Poisson and Helmholtz equations, advection-diffusion equation, wave equation, and more.

MATH 337
Real & Functional Analysis I

Explores abstract measures, Lebesgue measure on Rn, and Lebesgue-Stieljes measures on R, as well as the Lebesgue integral and limit theorems, and more.

MATH 353
Asymptotic Methods in Statistics With Applications

Investigates modes of convergence for random variables and their distributions; central limit theorems; laws of large numbers; statistical large sample theory of functions of sample moments, sample quantiles, rank statistics, and more.

MATH 358
Mathematical Finance

Explores the theory of option pricing, with emphasis on Black-Scholes and interest rate models. Requires mature understanding of multivariable calculus and probability.

View All Mathematics Courses

Curriculum and Program Requirements

Residency

  • Residency: Two full-time semesters within a two-year period or 48 units within a three-year period.

Courses

  • One transdisciplinary course (required)

Satisfactory Academic Progress

  • A minimum overall grade point average of 3.0

Research Tools Requirement

  • Research Seminar: One per two semesters. This may be a CCMS research seminar, mathematics colloquium, faculty-organized topical seminar, or student-organized journal club.
  • Proficiency Requirement: Demonstrate proficiency in one of the following two categories:
    • Computational: A computer programming language, statistical research method, or other computational research tool approved by the advisor
    • Foreign language: French, German, or Russian

PhD Completion

  • PhD qualifying exams
  • Preliminary exams (2): Based upon research interests and orientation toward pure or applied mathematics
  • Dissertation proposal
  • Dissertation & oral defense

Resources

Engineering & Industrial Applied Mathematics Clinic
CGU’s internationally recognized Engineering & Industrial Applied Mathematics Clinic offers first-hand experience solving significant mathematical problems for industry and government clients. Recent projects include:

  • Optimizing Transmission of Renewable Energy – Southern California Edison
  • Hardware-Software Codesign – Los Alamos National Laboratory
  • Data Cohort Analysis – Fair Isaac
  • Credit Risk in a Network Economy – Fitch Rating
  • Isogeometric Analysis – Boeing

Learn More

Faculty & Research

  • John Angus profile image

    John Angus

    Professor of Mathematics

    Research Interests

    Probability, Statistics, Computing, Algorithms, Navigation, Systems Engineering, Mathematical Finance

  • Marina Chugunova profile image

    Marina Chugunova

    Associate Professor of Mathematics
    Director, Institute of Mathematical Sciences
    Program Director, PhD in Engineering & Industrial Applied Mathematics

    Research Interests

    Surfactant-driven thin film flows in biomedical applications; Nonlinear parabolic equations; Stability problems in fluid dynamics; Scientific computations; Applied operator theory; Sturm-Liouville problems

  • Ellis Cumberbatch profile image

    Ellis Cumberbatch

    Professor of Mathematics Emeritus

    Research Interests

    Applied mathematics, Industrial modeling, Differential equations, Fluid mechanics, Wave propagation, Semi-conductors

  • Hrushikesh Mhaskar profile image

    Hrushikesh Mhaskar

    Research Professor of Mathematics

    Research Interests

    Approximation theory, Computational harmonic analysis, Mathematics of data, Query processing

  • Ali Nadim profile image

    Ali Nadim

    Professor of Mathematics
    Joseph H. Pengilly Chair in Mathematics

    Research Interests

    Fluid Dynamics, Mathematical Modeling, Scientific Computing

  • Andrew Nguyen profile image

    Andrew Nguyen

    Adjunct Professor of Mathematics

    Research Interests

    Stochastic processes, Statistics, Risk management, Financial derivatives, Actuarial sciences, Statistical software

  • Qidi Peng profile image

    Qidi Peng

    Research Assistant Professor of Mathematics

    Research Interests

    Statistical inferences, Stochastic differential equations, Stochastic modeling, Simulation, Machine learning, Approximation theory, Graph theory

  • Allon Percus profile image

    Allon Percus

    Professor of Mathematics

    Research Interests

    Discrete optimization; Network models; Statistical physics; Random combinatorial structures

  • Claudia Rangel-Escareño profile image

    Claudia Rangel-Escareño

    Adjunct Professor of Mathematics

    Research Interests

    Probabilistic methods in computational biology, Statistical inference of genetic networks, Bioinformatics

  • Henry Schellhorn profile image

    Henry Schellhorn

    Associate Professor of Mathematics
    Academic Director, Financial Engineering Program

    Research Interests

    Financial engineering, Credit risk, Interest rate models

Where You Can Find Our Alumni

Request information about the Mathematics program

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Jake Campbell

Senior Assistant Director of Admissions and Veteran Outreach
T: 909-607-3024 (Direct)
T: 909-607-7811 (Central Admissions)
E: jake.campbell@cgu.edu