Top 10 Mathematics Discoveries in 2025

Optimum Rotor Disk

Revisiting Glauert’s Optimum Rotor Disk Theory for Modern Wind Turbines

January 16, 2026 | By
zero-knowledge proofs

Gödel-Inspired Zero-Knowledge Proofs: A New Era for Cryptographic Security

January 8, 2026 | By
the sixth problem of Hilbert

The Sixth Problem of Hilbert and the Mathematical Origin of Fluid Equations

January 8, 2026 | By
Fourier Analysis

Fourier Analysis Breakthrough: Hannah Cairo’s Counter example Reshapes Restriction Theory

January 8, 2026 | By
Dudeney Puzzle

Dudeney Puzzle Solved After 120 Years: Why the Four-Piece Triangle-to-Square Proof Matters

January 8, 2026 | By
hyperbolic geometry

New Mathematical Tools for Random Hyperbolic Geometry

January 8, 2026 | By
Lean Conjecturer

Lean Conjecturer: How AI Is Transforming Mathematical Discovery

January 8, 2026 | By
Noperthedron

Noperthedron: The First Convex Shape That Cannot Pass Through Itself

January 8, 2026 | By
Kakeya Sets

Kakeya Sets Proven Full-Dimensional in 3D After 100-Year Math Problem

January 8, 2026 | By
Prime Walks

Prime Walks: A New Way to Visualize Prime Number Patterns

January 8, 2026 | By
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