Research – Allen Broughton

Automorphism groups of Riemann surfaces and
tilings of the Riemann surfaces & hyperbolic plane.
Two websites of interest are:
- Automorphisms of Rieman Surfaces/Algebraic Curves Interest Group
- Tilings of Surfaces
Finite group theory
Geometry in dimensions two and three
The mathematics of signal and image processing
Here is the second edition cowritten with my Rose colleague Kurt Bryan.
Discrete Fourier Analysis and Wavelets – Applications to Signal and Image Processing
Lie groups and Lie algebras
Singularities of polynomials of several complex variables
Using computer algebra systems in teaching and research in mathematics

All my research activities are described in detail on my BEpress Selected Works site.
Here is my (long) curriculum vita Curriculum Vita of S. Allen Broughton