Birch and Swinnerton-Dyer Conjecture (BSD Conjecture) - Rational Points on Elliptic Curves and L-functions
Galois Theory - Why There Is No Solvable Formula for Equations of Degree 5 or Higher and the Birth of Group Theory
Poincaré Conjecture - The Topological Puzzle Unraveling the Shape of the Universe and the Legend of Perelman
The ABC Conjecture - Challenging a Super Difficult Problem in Number Theory via Inter-Universal Teichmüller Theory