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. .

Image: Waterfall. Original work by Maurits Cornelis Escher, 1961. Lithograph. Licensed under Public Domain via Wikimedia Commons.

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

CORE AREAS

Applied Probability and Statistics
Biondini, Gino
Masuda, Naoki
Taylor, Dane

Applied Analysis
Biondini, Gino
Prinari, Barbara

Asymptotic and Perturbation Methods
Biondini, Gino
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
Prinari, Barbara

Scientific Computing and Computational Mathematics
Hassard, Brian
Ringland, John
Spencer, Brian
Taylor, Dane

Stability and Bifurcations
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.