Fixed point theorems, fixed point index, Borsuk-Ulam theorems, solenoidal spaces, dimension-rising maps
Automaticity and fractal properties of some classical number sequences (binomial coefficients, Stirling numbers) and sequences of polynomials (Legendre, Gegenbauer, Hermite, Laguere)
Sequential functions and curves
Cellular automata: automaticity and fractal properties of the orbits
