Estimated Time to Complete
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What You'll Learn
Concepts:
Wavelet Analysis in Parabolic Partial Differential Equations using Music Intuition
The Langlands Program in Mathematics Connecting Number Theory and Harmonic Analysis
Geometric Langlands Conjecture Proof in Mathematics
Geometry of Numbers: Analogues of Gauss Composition in Quadratic Expressions
DeepMind Alpha Tensor Algorithm Beats Strawson's Record in Binary Matrix Multiplication Modulo 2
In Mathematics: Proving Convergence from Newtonian to Boltzmann Equations for Gas Dynamics
Steven Strogatz Empathy in Mathematics Communication
Math Competition Strategy in Logic Training
Quantum Entanglement Proves Turing's Halting Problem in Computational Complexity Theory
Symmetry Groups and Wallpaper Patterns in Mathematics
Kernel Machines in Deep Learning Theory
High-Dimensional Sphere Packing Proof in Number Theory and Information Theory
Four Color Theorem in Graph Theory: First Proof Solved by Computer
Ramsey Numbers and Periodicity in Mathematics
Proving P Equals NP via Unique Games Conjecture in Computational Complexity Theory
The High Schooler Who Solved a Prime Number Theorem
Cantor's Diagonal Argument in Set Theory Proving Different Sizes of Infinity
Eclipse Prediction Using Babylonian Saros Cycles and Newtonian Three-Body Mechanics in Astronomy
Maryam Mirzakhani: Geometric Structures on Surfaces in Differential Geometry
Dynamical Systems Analysis in Mathematical Physics using Frequency Shredding Operators
Four Dimensional Topology Manifolds and Smooth Continuous Equivalence Differences in Geometry
The Riemann Hypothesis, Explained
The Bridge Between Quantum Field Theory and Mathematics in String Theory
Geometry in Game Theory Training
Mathematical Proofs and Formal Verification in Analytic Number Theory
Iterating Quadratic Equations in Complex Dynamical Systems to Generate the Mandelbrot Set
Mathematical Problem Solving Discovery in Mathematics Education
Universality in Random Matrix Theory and Physical Systems
2022's Biggest Breakthroughs in Math