Below is a short list of what I found within the lottery and which may be an incentive for future generations:
Information Theory (Shannon);
Thermodynamic Theory (Boltzmann, Clausius, Carnot, Gibbs and Von Helmholtz);
Differential and Integral Calculus (Newton and Leibniz);
Fluids mechanics (Green, Stokes);
Theory of Potential;
Chaos theory;
Theory of Numbers;
Binary;
Topology (Graphs);
Probability;
Statistic;
Linear algebra;
Vector Analysis;
Trigonometry;
Fourier analysis;
Fourier scattering;
Signal Analysis (Convolution);
Linearly Time Invariant Systems (LTI);
Laplace transforms;
Dynamic Systems;
Markov chains;
Superposition Theorem;
Superposition of States;
Packet routing (layer 3 of the OSI model);
TCP / IP networks;
Data compression algorithms;
Cryptography (block cipher)
Neural Networks (Artificial Intelligence);
Concepts and techniques of multiple access: FDMA, TDMA and CDMA;
Spectral Scattering;
Gaussian noise;