The Mathematical Sciences faculty members are currently involved in a wealth of diverse research projects, both fundamental and applied:

## Algebra/Discrete Mathematics

Fehribach, Martin, Servatius

- Cryptography
- Discrete Geometry
- Graph Theory and Combinatorics
- Group Theory
- Linear Algebra
- Matroids

## Analysis

Capogna, Fehribach, Larsen, Lurie, Mosco, Volkov

- Calculus of Variations
- Fractals
- Partial Differential Equations

## Applied Mathematics

Blais, Fehribach, Larsen, Lui, Lurie, Olson, Sarkis, Sturm, Tang, Tilley, Walker, Wang, Vernescu, Volkov, Weekes, Zhang

- Financial Mathematics
- Fluids
- Energy-Fluid-Chemical Transport Through Porous Media
- Interfacial Phenomena of Fluid Mechanics
- Computational Biofluid

- Probability and Stochastic Analysis
- Mathematics of Materials Science
- Defect Evolution
- Dynamic Materials
- Geothermal Energy Harvesting
- Optimal Material Design
- Porous Electrodes

- Mathematical Biology
- Computational Bioengineering
- Image-Based Modeling for Vulnerable Plaques
- Image-Based Ventricle Models

- Numerical Analysis/Computational Modeling
- Domain Decomposition
- Finite Element Methods
- Numerical Methods
- Scientific Computing

## Statistics

Nandram, Paffenroth, Petruccelli, Wu, Zou

- Biostatistics and Bioinformatics
- Compressed Sensing
- Network Analysis
- Unsupervised Machine Learning