Research Profiles

The Mathematical Sciences faculty currently involved in a wealth of diverse research projects, both fundamental and applied. Learn about some of the internationally recognized research being investigated.

Predicting Cracks in Materials

Christopher J. Larsen studies applied analysis and materials science. Currently, he is captivated by research in the field of fracture mechanics, particularly with predicting crack sets in physical materials. Learn more...

Investigating the Relationship Between Fractal Geometry and Energy

Umberto Mosco says that the relationships between shape and sound and shape and color have always fascinated him. In fact, they have guided his life’s work. Mosco, a world-renowned expert in mathematical analysis, uses these simple terms to illustrate the complex mathematics that describe the relationship between an object’s geometry and energy. Learn more...  

Penetrating the Fog, Lifting the Veil from Algorithms

In 2005, Homer Walker received the WPI Board of Trustees’ Award for Outstanding Research and Creative Scholarship. His research and teaching interests include, among other things, computational and applied mathematics. Walker is internationally known for his role in the analysis and development of algorithms for computing solutions of systems of linear and nonlinear equations. Learn more...  

Better Prediction of Heart Attacks and Strokes

Without warning, arterial plaques can rupture, releasing debris and blood clots that can cause heart attacks or stroke. Large plaques can be removed, but Dalin Tang, professor of mathematical sciences and biomedical engineering at WPI, says the surgery may be over-prescribed. He has made it his life's work to develop tools to predict which plaques are likely to rupture. Learn more...

Breathing New Life into Materials

Having pioneered the field of optimal material design, Konstantin Lurie is shaking up the materials world again. Lurie, professor of mathematical sciences at WPI, wants the world to begin to think of materials in a new way. Instead of substances with constant properties, Lurie has shown that materials can be entities whose properties can change—in space as well as time. Learn more...

It's All About Trust

As individuals and organizations find themselves increasingly dependent on information stored and transmitted electronically, there is growing unease about just how safe that data really is. William Martin, professor of mathematical sciences, is working to overcome that anxiety by making digital devices and networks more trustworthy. Learn more...

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. Learn more...

 
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