Calculus-level Probability and Statistics, including distributions, moment-generating functions, estimation, hypothesis testing, design of experiments, analysis of variance, nonparametric statistics, causality and causal diagrams, martingales, probability measures.
General, Algebraic, and Geometric Topology; Differential Geometry and Tensor Analysis; Advanced Euclidean and Non-Euclidean Geometry, Projective Geometry
Programming Languages, Data Structures and Algorithms, Information and Coding Theory, Complexity, Artificial Intelligence, Networks, Parallel Processing, Software Engineering, Human-Machine Interaction