Research and
Professional Activities in Pure and Applied Mathematics
The department
offers programs of study in both pure and applied mathematics. Programs
of study focus on mathematics which provides appropriate training for
employment
in academia, industry, or government. Pure areas of emphasis include
dynamical
systems, topology, complex analysis and global analysis. Applied areas
of emphasis include mathematical biology, computational mathematics,
inverse
and ill-posed problems, numerical analysis, and sensitivity theory.
Interdisciplinary
research opportunities in biological, engineering and physical
applications
are encouraged in the applied program component. Recent research topics
include: - substitution
tiling spaces
- dynamics
of iterated maps on surfaces and rotation sets
- linearizability
of complex polynomial germs
- Conley
index theory
- symbolic
dynamics
- continuum
theory
- Pisot
numbers
- harmonic
polynomials
- Biofilm
and bio-remediation modelling
- Oscillations
in excitable media and neuroscience
- Wave
propagation in chemical and biological systems
- Sensitivity
methods with applications to MAVs and control of pinned
beams
- Inverse
problems methods for image enhancement
- Gene
regulation modelling and genetic algorithm dynamics
- Neural
coding
| 
