Research in the Mathematical Sciences department at WPI plays a vital role toward solving complex problems facing our world today. Many of our research areas are internationally recognized, with grants and awards coming from the National Science Foundation, the National Institutes of Health, the National Security Agency, and several corporations.
Mathematical Sciences Research Seminars
The WPI Mathematical Sciences Department hosts several research seminar series. We invite you to take a look at what seminars are currently scheduled. For further information regarding Mathematical Sciences seminars please contact the main office at 508-831-5241 or firstname.lastname@example.org.
The Mathematical Sciences faculty members are currently involved in a wealth of diverse research projects, both fundamental and applied:
- Discrete Geometry
- Graph Theory and Combinatorics
- Group Theory
- Linear Algebra
- Symmetry and Lie Groups
- Calculus of Variations
- Nonlocal Models
- Partial Differential Equations
Arnold, A., Bernardi, F., Blais, M., Fehribach, J., Humi, M., Larsen, C.,Lurie, K., Olson, S., Peng, G., Sarkis, M., Servatius, B., Song, Q., Sturm, S., Tang, D., Tilley, B., Wang, F., Vernescu, B., Volkov, D., Wagner, A., Walcott, S., Wu, M., Zhang, Z.
Post-Doctoral Scholars: Buczkowski, N., Jin, S., Zhuang, Q.
- Computational Biofluid
- Energy-Fluid-Chemical Transport Through Porous Media
- Interfacial Phenomena of Fluid Mechanics
- Mathematical Biology
- Computational Bioengineering
- Image-Based Modeling for Vulnerable Plaques
- Image-Based Ventricle Models
- Mathematics of Materials Science
- Defect Evolution
- Defect Structure
- Dynamic Materials
- Geothermal Energy Harvesting
- Optimal Material Design
- Porous Electrodes
- Soft Biological Tissue
- Mathematical Physics
- Numerical Analysis/Computational Modeling
- Domain Decomposition
- Finite Element Methods
- Numerical Methods
- Scientific Computing
- Probability and Stochastic Analysis
- Computational Finance
- Mean Field Games
- Option Pricing and Hedging
- Portfolio Selection and Investment
- Systemic Risk
- Biostatistics and Bioinformatics
- Biosurveillance and Spatio-temporal Statistics
- Compressed Sensing
- Causal Inference
- Network Analysis
- Time series and Financial Statistics
- Unsupervised Machine Learning
Predicting Cracks in Materials
Christopher Larsen studies applied analysis and materials science. Currently, he is captivated by research in the field of fracture mechanics, particularly predicting crack sets in physical materials.
Sensor networks are made up of devices with the tiny processors and meager power supplies, which limit their ability to run the strong cryptosystems that are used to protect data in more robust computing environments. William Martin has drawn on mathematical systems that were once thought to have no practical use to help make public key cryptography run effectively on such devices.
Using Matroid and Graph Theory for Diverse Applications
Brigitte Servatius is a discrete, or finite, mathematician, and her major tools are matroid and graph theory. Matroid theory is essential in developing and speeding up algorithms that are used to power the Internet and implement GPS tracking technology, among other applications.