Mathematics

The Department of Mathematics offers superior MS and PhD programs. Our students consistently land spots in top PhD programs, join cutting-edge research labs, and find dynamic jobs in thriving companies.

Below, you’ll find video interviews with grad students and basic info on the program. For more details and to apply, visit the department page and BYU Graduate Studies.

Research Areas

  • Algebraic Geometry

    Algebraic Geometry

    Students in this area use both algebraic and geometric methods to study curves, surfaces, and higher-dimensional objects and their connections to other fields, such as mathematical physics.
    Areas of Emphasis

    Algebraic curves, algebraic surfaces, and moduli spaces

    Associated Faculty
    Tyler Jarvis
    William E. Lang

  • Combinatorics and Matrix Theory

    Combinatorics and Matrix Theory

    Combinatorics is an area of discrete mathematics devoted to counting and arranging finite configurations, which often assist the analysis of algorithms and of finite (but very large and complex) physical structures.
    Areas of Emphasis

    Discrete math

    Associated Faculty
    Rodney W. Forcade

  • Matrix Theory

    Matrix Theory

    Matrix theory is the study of two-dimensional arrays of real or complex numbers. Matrices may describe multivariate linear phenomena, or systems of equations in math, physics, chemistry, engineering, economics, computer science, and cryptography.
    Areas of Emphasis

    Combinational matrix theory and graph theory

    Associated Faculty
    Wayne Barrett

  • Differential Equations and Dynamical Systems

    Differential Equations and Dynamical Systems

    Kening Lu, just one of the faculty members in this area, is an internationally recognized expert in infinite-dimensional dynamical systems because of his groundbreaking work on the theory of superconductivity. His recent focus has been on modifying the theory of dynamical systems so as to incorporate random effects in meaningful ways.
    Areas of Emphasis

    Celestial mechanics, nonlinear partial differential equations, smooth maps on manifolds, and stochastic differential equations

    Associated Faculty
    Lennard Bakker
    Todd Fisher
    Christopher P. Grant
    Kenneth Kuttler
    Kening Lu
    Tiancheng Ouyang

  • Geometric Topology and Geometric Group Theory

    Geometric Topology and Geometric Group Theory

    There are many talented and knowledgable faculty in this area, and Jessica Purcell is one of them. She was recently awarded the prestigious Sloan Research Fellowship for her substantial contributions to the field. Purcell is one of the 20 mathematicians to receive the award this year.
    Areas of Emphasis

    3D manifolds, discrete conformal mapping, geometric function theory, geometric group theory, hyperbolic geometry, knot theory, low-dimensional topology, minimal surfaces, and wild topology

    Associated Faculty
    James W. Cannon
    Gregory Connor
    Michael Dorff
    Denise Halverson
    Stephen Humphries
    Jessica Purcell
    Eric Swenson
    David G. Wright

  • Mathematical Biology

    Mathematical Biology

    Mathematical biology research in the department focuses on physiology. Current research deals with cell motion and cell-extracellular interactions as they relate to wound healing and pattern formation in developmental processes.
    Areas of Emphasis

    Dynamical systems, functional analysis, partial differential equations, and scientific computation

    Associated Faculty
    John Dallon

  • Numerical Analysis and Applied Mathematics

    Numerical Analysis and Applied Mathematics

    This group focuses on the study of algorithms that use numerical approximation (as opposed to general symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics).
    Areas of Emphasis

    Asymptotic methods, classical and quantum optics, wave scattering, operations research, and decision theory

    Associated Faculty
    Shue-Sum Chow
    Scott Glasgow
    Jeff Humpherys
    Vianey Villamizar

  • Operations Research

    Operations Research

    Students in operations research study the mathematics of business management. Applications include the management of manufacturing, distribution, retailing and pricing of consumer products; the scheduling of airplane flights worldwide; quantitative analysis of financial instruments and investments; etc.
    Areas of Emphasis

    Computing and information technologies; decision analysis; environment, energy, and natural resources; financial engineering; inventory theory; manufacturing; service sciences; and supply chain management

    Associated Faculty
    Robert Roundy

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