# Research

## Our Research Areas

The following research areas are well-represented in the department:

### Algebra, Algebraic Geometry, And Number Theory Explore Research Area

The study of of algebraic structures, or sets with a finite number of operations that satisfy a number of fixed axioms.

### Analysis Explore Research Area

Analysis is the study of functions, continuity and discontinuity, and infinity and the infinitesimal.

### Applied Mathematics Explore Research Area

Applied Mathematics is the study of applied partial differential equations, dynamical systems, mathematical biology, mathematical finance, and numerical analysis.

### Computational Statistics & Data Science Explore Research Area

Computational Statistics and Data Science is the application of high level techniques to complex data.

### Actuarial And Financial Mathematics Explore Research Area

Financial Mathematics, or PhiMAC, develops analytical and computational tools for analysis, modeling, and decision making in financial markets.

### Geometry & Topology Explore Research Area

Geometry & Topology is the study of quantitative and qualitative properties of space.

### Mathematical Biology Explore Research Area

Mathematical Biology focuses on the development and analysis of models of population dynamics and evolution.

### Mathematical Logic Explore Research Area

Mathematical Logic is the study of underlying patterns of algebraic and geometric structures.

### Probability & Statistics Explore Research Area

Probability & Statistics is the interdisciplinary study of theoretical probability, applied probaility, mathematical statistics, and applied statistics.