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.

Faculty interests include:

  • 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.

In Spring 2011 we hosted the 2nd New York Conference in Applied Mathematics. In Spring 2006 we hosted a workshop on Nonlinearity and Randomness in Complex Systems.

Applied Math Seminar Schedule http://www.math.buffalo.edu/~jaehun/seminar.html

COMAP ANNUAL MATHEMATICAL CONTEST

Our Applied Math group trains teams of undergraduate students for the annual COMAP Mathematical Contest in Modeling. We have had Outstanding Winners of this worldwide contest in 2008 and 2015, and also in 2015, Thomas Effland was named Grand Finalist.

CORE AREAS

Applied Probability and Statistics
Biondini, Gino
Taylor, Dane

Applied Analysis
Biondini, Gino
Jung, Jae-Hun

Asymptotic and Perturbation Methods
Biondini, Gino
Spencer, Brian

Continuum Mechanics and Materials Modeling
Spencer, Brian

Cryptography
Cusick, Thomas (focus on Boolean functions)

Dynamical Systems
Biondini, Gino
Ringland, John
Taylor, Dane

Integrable Systems
Biondini, Gino

Mathematical Physics
Biondini, Gino
Dimock, Jonathan
Taylor, Dane

Nonlinear Waves and Optics
Biondini, Gino

Numerical Analysis
Jung, Jae-Hun

Partial Differential Equations
Biondini, Gino

Scientific Computing and Computational Mathematics
Hassard, Brian
Jung, Jae-Hun
Ringland, John
Spencer, Brian
Taylor, Dane

Stability and Bifurcation
Hassard, Brian
Ringland, John
Spencer, Brian
Taylor, Dane

Stochastic Differential Equations
Biondini, Gino
Taylor, Dane

SCIENTIFIC COMPUTING

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.