Spectral Analysis: Hyperbolic SurfacesExplores the spectral analysis of hyperbolic surfaces through the trace formula and its applications in understanding geometric and spectral properties.
Signals, Instruments, and SystemsExplores signals, instruments, and systems, covering ADC, Fourier Transform, sampling, signal reconstruction, aliasing, and anti-alias filters.
Signal RepresentationsCovers the properties of signal/data representations using Fourier transformations and matrices.
Metrics for ClassificationCovers sampling, cross-validation, quantifying performance, optimal model determination, overfitting detection, and classification sensitivity.
Quantum EntanglementExplores quantum entanglement, Bell inequalities, and self-testing in quantum systems.
The Role of SymmetriesDelves into symmetries in physics, covering group theory, perturbation, and quantification.