Fall 2023 Teaching:
MTH446/546 Stochastic Processes
Spring 2024 Teaching: MTH412/512 Intro to Statistical Inference MTH463/563 Topics in Applied Math: Mathematics and Climate Research:
applied mathematics of materials science phenomenaProfessor 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:
- shape
transitions in faceted quantum dots
- liquid drop
shapes during VLS nanowire growth
- 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 |
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