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Million Dollar Problems of Mathematics

Science Education

Activity Overview

Episode publication activity over the past year

Episodes

A Conjecture True Only In Japan

04 May 2026

Contributed by Lukas

This episode explores The Island of Truth, the decade-long controversy surrounding a 500-page proof that has split the mathematical community. At the ...

Black Scholes Formula: Equations That Changed The World

27 Apr 2026

Contributed by Lukas

This episode explores the Black–Scholes Formula, the mathematical breakthrough that transformed finance from a game of hunches into a rigorous scien...

Schrodinger's Equation: Equations That Changed The World

20 Apr 2026

Contributed by Lukas

This episode explores How Schrödinger’s Equation Changed the World, tracing the journey of a single mathematical formula from a snowy retreat in th...

Thermodynamics: Equations That Changed The World

13 Apr 2026

Contributed by Lukas

This episode of The Unwinding Clock explores how the Industrial Revolution’s quest for efficiency unearthed Entropy, the universal law of increasing...

The Square Root of -1: Equations That Changed The World

06 Apr 2026

Contributed by Lukas

This episode explores the "Number That Shouldn’t Exist," tracing the journey of the imaginary unit :The Square Root of -1 from a mathemati...

Normal Distribution: Equations That Changed The World

30 Mar 2026

Contributed by Lukas

This episode explores the hidden mathematical order of the "Normal Distribution," a curve that reveals predictability within large groups of...

The strange Hidden Math of Networks

23 Mar 2026

Contributed by Lukas

This episode explores the hidden mathematical laws that govern catastrophic failures, from the 2021 Texas power grid collapse to the spread of wildfir...

The Paradox of Infinite Cloning

16 Mar 2026

Contributed by Lukas

This episode investigates the mind-bending Banach-Tarski Paradox, a mathematical theorem that suggests you can take a solid ball, cut it into a finite...

The 360-Page Proof That 1+1=2

09 Mar 2026

Contributed by Lukas

This episode explores the ambitious and arguably obsessive quest to prove the most self-evident fact in mathematics: $1 + 1 = 2$. At the turn of the 2...

Math of Coral Reefs

03 Mar 2026

Contributed by Lukas

This episode explores the hidden mathematical heartbeat of the ocean, where vibrant underwater cities are being defended by an unexpected alliance of ...

James Maynard I The Rebel Mathematician Hunting Hidden Prime Patterns

18 Jun 2025

Contributed by Lukas

Prime numbers are the building blocks of math—but their patterns remain one of the biggest unsolved mysteries. That’s where James Maynard comes in...

Four Exponentials Conjecture: The Hardest Easy Problem in MatheMatics

11 Jun 2025

Contributed by Lukas

At first glance, it’s just a 2×2 grid. Four exponential numbers. No flashing lights, no smoke and mirrors. But hidden in that tiny setup is a mathe...

June Huh I The Poet Who Cracked 50-Year-Old Mystery with… Shapes

04 Jun 2025

Contributed by Lukas

June Huh wasn’t a math prodigy. He was a high school dropout who wanted to be a poet. But instead of writing verses, he found beauty in numbers—an...

Happy Ending Problem: Maths Puzzle That led to a Wedding

28 May 2025

Contributed by Lukas

What if geometry could guarantee a perfect shape—no matter how random your mess? Welcome to the world of the Happy Ending Problem, a mind-bending pu...

Maryna Viazovska I Fields Medal Winner who cracked 400 year old Puzzle

21 May 2025

Contributed by Lukas

Ever wondered what stacking oranges has to do with data encryption? Turns out, everything.For over 400 years, mathematicians struggled to prove the be...

The Berry–Tabor Conjecture: When Classical Order Turns Quantum Weird

14 May 2025

Contributed by Lukas

Step into the strange and electrifying world where chaos meets quantum mechanics. The Quantum Maze unpacks the Berry–Tabor Conjecture—a decades-ol...

Hugo Duminil-Copin I Fields Medal 2022 Winner who tames Chaos

07 May 2025

Contributed by Lukas

What do melting ice, wildfires, and pandemics have in common? They all follow hidden mathematical rules—rules that one man uncovered.Meet Hugo Dumin...

Poincaré Conjecture: The only Millennium Prize Problems solved so far

26 Mar 2025

Contributed by Lukas

In the final episode, we explore the Poincaré Conjecture—the only Millennium Prize Problem that has been solved so far.At its core, the conjecture ...

P vs NP : The most important unsolved problem in Computer Science

20 Mar 2025

Contributed by Lukas

In this episode, we dive into P=NP, the most important unsolved problem in computer science—a question so profound it could reshape technology as we...

Hodge Conjecture: The Grand Puzzle of Shapes, Spaces, and Higher Dimensions

12 Mar 2025

Contributed by Lukas

In this episode, we tackle the Hodge Conjecture—a grand mathematical puzzle that dares to explain the hidden structure of shapes, spaces, and higher...

Navier-Stokes Equations

04 Mar 2025

Contributed by Lukas

In this episode, we dive into the Navier-Stokes Equations, the mathematical key to understanding the chaos of air, water, and motion. These equations ...

Yang-Mills & The Mass Gap

26 Feb 2025

Contributed by Lukas

Explore the Yang-Mills theory and the Mass Gap—a problem that has haunted mathematicians and physicists for decades. At the intersection of pure mat...

Birch and Swinnerton-Dyer conjecture

19 Feb 2025

Contributed by Lukas

In this episode, we uncover the Birch and Swinnerton-Dyer Conjecture—an enigma in mathematics so complex it’s often called “the most difficult p...

The Riemann Hypothesis

16 Feb 2025

Contributed by Lukas

This episode dives into one of the most elusive mysteries in mathematics: the Riemann Hypothesis. First proposed by Bernhard Riemann in 1859, it’s a...