Research

                                    

1. Dynamics and attracting sets of low dimensional systems of ODEs, topology of strange and non-strange chaotic attractors.

2. Hyperreal worlds, the visualization of the topology and geometry of infinitesimal and infinite worlds of the hyperreal numbers.

3. Integration over broken non-standard sets and nonstandard fractals.

4. Geometric interpretations of fractional calculus and applications to integration and differentiation over fractal objects.

5. Knot theory, especially nonstandard wild knots and infinite links.