# Department Research

The department has active research areas in Mathematics, Statistics, and Mathematics Education. We list some of the major ones here. For detailed information, see the individual faculty web pages.

## Algebra and Discrete Mathematics

Graph theory, number theory, combinatorics, game theory, network simulation and graph algorithms

## Analysis

Variational and convex analysis, non-linear & functional analysis, applied analysis

## Computational Mathematics

Computational electromagnetism, Geophysical data assimilation, Inverse problems, Multigrid methods, Nano- optics, Numerical analysis, Optimization.

## Dynamical Systems, Differential Equations and Control

Dynamical systems, mathematical control theory, mathematical biology

## Mathematics Education (K-12)

Mathematical knowledge for teaching, student learning in the middle grades, elementary and middle school mathematics teacher education

## Mathematics Education (undergraduate)

Teaching and learning of abstract algebra, statistics education research, undergraduate calculus and differential equations education

## Mathematical Physics

Rational Mechanics, Hamiltonian Mechanics, Thermodynamics

## Statistics and Applied Probability

Survival analysis, nonparametric and semiparametric models, variance estimation, biostatistics, markov chain monte carlo algorithms, inverse problems in statistics, reliability theory, stochastic orders, estimation theory, sampling theory,

## Topology and Geometry

Algebraic topology, differential geometry, geometric mechanics