Applied Mathematics
Our faculty have a tradition of leading research in Applied Mathematics. The Applied Math group runs a weekly seminar series, with speakers from within the department and the university, as well as outside visitors.
Image: Waterfall. Original work by Maurits Cornelis Escher, 1961. Lithograph. Licensed under Public Domain via Wikimedia Commons.
Faculty
Our faculty interests include, but are not limited to:
- Bifurcation and Stability Theory
- Biological and Stochastic Modeling
- Complex Systems
- Computational Topology
- Dynamical Systems
- Machine Learning
- Material Science and Crystal Growth
- Nonlinear Waves and Optics
- Numerical Analysis
- Perturbation Methods
- Population Dynamics
- Scientific Computation
Each semester, we run a weekly seminar series featuring speakers from within the department and the university, as well as outside visitors. In some years, our seminars have been organized around a yearly topic. Topics from past years include Mathematical Finance, Thin Films, Phase Field Models, Stochastic Differential Equations, Crystallography.
PAST HIGHLIGHTS
- COMAP ANNUAL MATHEMATICAL CONTEST: Our Applied Math group often trains teams of undergraduate students to compete the annual COMAP Mathematical Contest in Modeling. For example, we have had Outstanding Winners of this worldwide contest in 2008 and 2015, and in 2015, Thomas Effland was named Grand Finalist.
- We hosted the 2nd New York Conference in Applied Mathematics.
- We hosted a workshop on Nonlinearity and Randomness in Complex Systems.
CORE AREAS
Applied Probability and Statistics
Biondini, Gino
Masuda, Naoki
Taylor, Dane
Applied Analysis
Biondini, Gino
Han, Daozhi
Prinari, Barbara
Asymptotic and Perturbation Methods
Biondini, Gino
Han, Daozhi
Prinari, Barbara
Spencer, Brian
Continuum Mechanics and Materials Modeling
Spencer, Brian
Cryptography
Cusick, Thomas (Boolean functions)
Dynamical Systems
Biondini, Gino
Kundu, Prosenjit
Masuda, Naoki
Prinari, Barbara
Ringland, John
Taylor, Dane
Integrable Systems
Biondini, Gino
Prinari, Barbara
Mathematical Physics
Biondini, Gino
Dimock, Jonathan
Prinari, Barbara
Taylor, Dane
Network Science
Kundu, Prosenjit (Complex Networks)
Masuda, Naoki
Muldoon, Sarah
Taylor, Dane
Nonlinear Waves and Optics
Biondini, Gino
Kundu, Prosenjit
Prinari, Barbara
Partial Differential Equations
Biondini, Gino
Han, Daozhi
Prinari, Barbara
Scientific Computing and Computational Mathematics
Han, Daozhi
Hassard, Brian
Ringland, John
Spencer, Brian
Taylor, Dane
Stability and Bifurcations
Han, Daozhi
Hassard, Brian
Masuda, Naoki
Ringland, John
Spencer, Brian
Taylor, Dane
Stochastic Differential Equations
Biondini, Gino
Taylor, Dane
Stochastic Processes
Biondini, Gino
Masuda, Naoki
OUR SCIENTIFIC COMPUTING COMMUNITY
UB's scientific computing plays an important role in many of our faculty research projects. In addition to a network of desktop machines and access to university-operated timeshares, a group of faculty share a small Dell cluster.
Our faculty have access to UB's Center for Computational Research (CCR) for visualization hardware and cutting-edge supercomputering capabilities.