Brian Spencer 
   
Professor 
Department of Mathematics
Mathematics Building, Room 319 
University at Buffalo
Buffalo, NY 14260-2900 

email: spencerb buffalo.edu
web: www.math.buffalo.edu/~spencerb
tel: (716) 645-8805

office hours

Fall 2016 teaching:
MTH 463/563 Mathematics and Climate

MTH 539 Methods of Applied Mathematics I

Research:
applied mathematics of materials science phenomena

Professor Spencer's research interests are in the applied mathematics of materials. The research combines physics-based mathematical models with asymptotic, analytic and numerical methods to describe growth processes, instabilities and microstructure formation in materials.  Specific research programs include: 
  • instabilities and pattern formation in strained alloy film deposition
  • formation of quantum dots in strained solid films
  • corner regularizations in crystal growth models
scientific areas of interest: crystal growth, elasticity, phase transformations, chemical thermodynamics, fluid mechanics, strained solid films, solidification, diffusion, contact angles, dendrites, surface energy effects, anisotropy, faceting.

mathematical areas of interest: free boundary and moving boundary problems, continuum mechanics, morphological instability, pattern formation, differential equations, integral equations, perturbation methods, singular perturbations, numerical methods, spectral methods, finite difference methods, numerical stability, bifurcation and stability, energy minimization, variational calculus.
Publications