Research
Faculty Research
D. Bhadra, Bayesian Statistics, Biostatistics
P.R. Christopher, combinatorics, graph theory, linear algebra
P.W. Davis, control and measurement problems in power networks
W. Farr, differential equations, dynamical systems, bifurcation theory
J.D. Fehribach, PDEs and scientific computing, fuel cell modeling
A.C. Heinricher, applied probability, stochastic processes and optimal control
M. Humi, mathematical physics, numerical PDEs, turbulence and chaos
C.J. Larsen, calculus of variations, PDEs, geometric measure theory
R.Y. Lui, mathematical biology, partial differential equations
K.A. Lurie, optimal control, optimization, variational calculus, optimal design
W.J. Martin, algebraic combinatorics, applied combinatorics
U. Mosco, PDEs, convex analysis, optimal control, variational calculus, fractals
B. Nandram, survey sampling theory and methods, bayesian statistics, categorical data analysis
S.D. Olson, mathematical Biology, computational biofluids, scientific computing, numerical analysis
J.D. Petruccelli, time series (nonlinear models), optimal topping, statistics
M. Sarkis, numerical analysis, parallel computing, computational fluid dynamics, numerical PDEs and linear algebra
H. Sayit, stochastic optimization, financial mathematics, Viscous Flows
B. Servatius, combinatorics, matroid and graph theory, structural topology, geometry
D. Tang, biofluids, biosolids, blood flow, mathematical modeling, scientific computing, computational fluid dynamics
B. Tilley, partial differential equations, interfacial phenomena, composite materials/homogenization, computational modeling
D. Vermes, optimal stochastic control theory, non-smooth analysis, stochastic processes, financial mathematics
B. Vernescu, PDEs, asymptotic methods and homogenization
D. Volkov, electromagnetic waves, wave propagation, inverse problems, electrified fluid jets
H.F. Walker, numerical analysis, computational fluid dynamics, porous media flow, hyperbolic conservation laws, shock capturing schemes
Z. Wu, biostatistics and bioinformatics, statistical genetics, statistical decision theory and high-dimensional data analysis, statistical experimental design
V. Yakovlev, control and optimization in microwave thermal processing
Research in the Department
Research in the Department of Mathematical Sciences is diverse and well-funded. From coding theory and cryptography, to fractals, to partial differential equations, to biostatistics and biomathematics, to computational fluid dynamics, to the mathematics of materials—the work under way is addressing problems both fundamental and applied, and producing results that are making important contributions to the field of mathematics and to society.
Here you will find examples of the wide range of research areas being pursued by faculty members in the department, as well as evidence of its quality—in the lists of editorships held by our faculty and the research awards they have earned. And beginning below, you will read the stories of the researchers who are helping expand the department's reputation internationally as they address interesting and important problems.
Research Stories
Predicting Crack Sets in Physical 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. Read more...
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. Read more...
Penetrate the Fog, Lift 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. Read 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. Read more...
Better Prediction of Heart Attacks and Stroke
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. Read 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. Read more...
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