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Brian Spencer
Professor Mathematics Building, Room 319 Buffalo, NY 14260-2900
email: spencerb buffalo.edu
web: www.buffalo.edu/~spencerb tel: (716) 645-8805 |
Spring 2025 Teaching:
MTH 306 Intro to Differential Equations
MTH 412/512 Intro to Statistical InferenceFall 2025 Teaching:
MTH 446/546 Stochastic Processes
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:
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.
- shape
transitions in faceted quantum dots
- liquid drop
shapes during VLS nanowire growth
- corner regularizations in crystal growth models
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.