Subject
Explore numbers, patterns, proofs and the minds that expanded the boundaries of human reasoning.
Documentary Library
104 documentaries available
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STEM Concept
Every tested number falls into the same tiny loop. Mathematics still cannot prove that every number must.
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STEM Concept
Every checked value obeyed the boundary. Then mathematicians proved a violation must exist somewhere they still cannot see.
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STEM Concept
A seven-point graph held the lower bound for decades—until Aubrey de Grey used it to prove the infinite plane needs at least five colors.
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STEM Concept
How can a finite set of local rules force an infinite pattern that is never allowed to repeat?
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STEM Concept
It predicts fluids everywhere—but nobody has proved that every smooth 3D flow stays smooth forever.
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Documentary
How Luis Caffarelli transformed regularity theory, constrained possible fluid singularities and won the 2023 Abel Prize.
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Documentary
How Paul Cohen invented forcing and proved the standard axioms of set theory cannot settle the continuum hypothesis.
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Documentary
How László Lovász connected graphs, topology, information and algorithms to reshape discrete mathematics.
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John Pardon's path from Gromov's knot-distortion problem to foundational work in symplectic geometry and a Fields Medal.
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Documentary
How Lloyd Shapley's abstract game theory became a foundation for fair allocation and real-world market design.
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Concept Explainer
A manifold can look flat everywhere nearby while hiding curves, holes and dimensions visible only globally.
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Biography
How Johannes Kepler used Mars to uncover the true mathematical laws of planetary motion.
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Biography
How Yu Deng built a rigorous bridge from microscopic collisions to macroscopic gas dynamics.
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Biography
How Larry Guth connected geometry, combinatorics and Fourier analysis to attack impossible problems.
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Biography
How René Thom moved from topology to a bold theory of abrupt change in nature and society.
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Biography
How Yunqing Tang connected arithmetic geometry, modular forms and hidden denominator growth.
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Biography
How Lê Quang Nẫm advanced Monge–Ampère equations, geometric analysis and the calculus of variations.
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Biography
How Sophie Morel used geometry and representation theory to advance the Langlands program.
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Biography
How Peter Sarnak connected prime numbers, spectral theory, graphs and quantum systems.
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Biography
How Elon Lindenstrauss used ergodic theory to solve deep problems in number theory.
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Biography
How Michael Freedman classified four-manifolds and later turned topology toward quantum computing.
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Biography
How William Thurston rebuilt topology through geometry, intuition and the geometrization conjecture.
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Biography
How Frank Merle revealed the hidden structure of blow-up in nonlinear waves and dispersive equations.
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Biography
How Gérard Laumon connected sheaves, Fourier transforms and arithmetic geometry.
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Biography
How John Tate created ideas and tools that became the language of arithmetic geometry.
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Biography
How Caucher Birkar proved boundedness for Fano varieties and reshaped birational geometry.
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Biography
How Elias Stein transformed harmonic analysis and connected Fourier methods with geometry and equations.
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Biography
How Stanislav Smirnov proved that critical random systems become conformally invariant.
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Biography
How Katherine Johnson calculated the trajectories that carried astronauts into orbit and to the Moon.
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Biography
How Claire Voisin transformed Hodge theory, algebraic cycles and the geometry of complex varieties.
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Biography
How Akshay Venkatesh united number theory, dynamics, topology and representation theory.
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Biography
How David Mumford transformed algebraic geometry before rebuilding the mathematics of perception.
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Biography
How James Maynard found a new way to detect clusters of prime numbers.
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Biography
How Boaz Klartag revealed geometric laws that emerge when dimensions become enormous.
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Biography
How Alfred Tarski rebuilt logic by defining truth, consequence and mathematical structure.
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Biography
How Curtis McMullen connected fractals, Riemann surfaces and three-dimensional geometry.
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Biography
How Hugo Duminil-Copin brought new clarity to random systems poised between order and disorder.
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Biography
How Robert Langlands connected number theory, symmetry, geometry and harmonic analysis.
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Biography
How Jean Bourgain moved effortlessly among geometry, equations, number theory and computation.
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Biography
How Artur Avila used renormalization to transform dynamical systems and spectral theory.
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Biography
How Jacob Tsimerman used o-minimality to attack central conjectures in arithmetic geometry.
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Biography
How June Huh used algebraic geometry to solve counting problems that resisted generations.
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Biography
How John G. Thompson revolutionized finite groups through monumental proofs and new methods.
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Biography
How Hong Wang conquered a century-old geometry problem about lines, directions and dimension.
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Biography
How Pierre Deligne solved the Weil conjectures and transformed modern algebraic geometry.
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Biography
How Arlie Petters built a rigorous mathematical theory of gravitational lensing.
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Biography
How Alessio Figalli transformed optimal transport, equations, clouds and crystal structures.
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Biography
How Vladimir Voevodsky connected geometry, topology and computer-verified mathematics.
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Biography
How Edward Frenkel connects symmetry, geometry, number theory and quantum physics.
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Biography
How Cédric Villani revealed order, stability and equilibrium inside complex physical systems.
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Biography
How Michael Atiyah built bridges between topology, analysis and theoretical physics.
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Biography
How Martin Hairer built regularity structures for the wild equations of randomness.
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Biography
How Michel Talagrand discovered hidden order inside probability, statistics and spin glasses.
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Biography
How Ngô Bảo Châu used geometry to unlock a central problem in the Langlands program.
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Biography
How William Rowan Hamilton reshaped mechanics, optics and algebra through quaternions.
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Biography
How Yitang Zhang proved bounded gaps between primes after years outside mathematical recognition.
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Biography
How Karl Weierstrass rebuilt analysis through precision, limits and unexpected counterexamples.
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Biography
How Joseph-Louis Lagrange transformed motion into a system of pure mathematical analysis.
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Biography
How Manjul Bhargava created new composition laws and transformed modern number theory.
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Biography
How Gabriel Cramer connected equations, determinants and algebraic curves in Enlightenment Europe.
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Biography
How Don Zagier connected modular forms, number theory and mathematical physics through unexpected ideas.
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Biography
How Jacobi transformed elliptic functions, determinants and the mathematics of motion.
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Biography
How Israel Gelfand reshaped analysis, representation theory and mathematical education.
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Biography
How David Hilbert's twenty-three problems and axiomatic vision shaped twentieth-century mathematics.
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Biography
How Jean-Pierre Serre unified topology, geometry and number theory across a historic career.
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Biography
How Peter Scholze created perfectoid spaces and opened a new language for modern number theory.
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Biography
How George Boole transformed logic into mathematics and unknowingly created the foundation of modern computing.
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Biography
How Chike Obi became Africa's first internationally acclaimed research mathematician.
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Biography
How John Nash revolutionized game theory before overcoming extraordinary personal challenges.
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Biography
How Terence Tao became the most versatile mathematician of the twenty-first century.
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Biography
How Henry Briggs transformed logarithms into the world's greatest computational tool.
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Biography
How Pierre-Simon Laplace united the heavens under the universal language of mathematics.
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Biography
How Stefan Banach created a new mathematical language that transformed modern science.
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Biography
How Andrey Kolmogorov transformed randomness into one of mathematics' most powerful scientific tools.
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Biography
How Gilles Personne de Roberval quietly transformed mathematics long before history remembered his discoveries.
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Biography
How Jost Bürgi revolutionized mathematical calculation while quietly changing the course of astronomy.
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Biography
How Alexander Grothendieck reinvented algebraic geometry before disappearing from the mathematical world.
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Biography
How Brahmagupta transformed mathematics by defining zero, negative numbers and algebraic computation.
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Biography
How Henri Poincaré reshaped mathematics, physics and the science of chaos.
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Biography
How Nikolai Lobachevsky created a new geometry that forever changed mathematics and physics.
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Biography
How John Napier transformed mathematics by making impossible calculations astonishingly simple.
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Biography
How René Descartes united algebra and geometry to transform mathematics forever.
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Biography
How William James Sidis became history's greatest child prodigy—and why he chose to disappear.
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Biography
How Leonhard Euler transformed mathematics through unmatched brilliance and relentless discovery.
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Biography
How Carl Friedrich Gauss revolutionized mathematics and became history's most influential mathematical genius.
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Biography
How Kurt Gödel shattered mathematics' greatest dream with one astonishing theorem.
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Biography
How János Bolyai created a new geometry and forever changed mathematics.
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Biography
How Bernhard Riemann's revolutionary ideas reshaped mathematics and unlocked the geometry of the universe.
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Biography
How Benoit Mandelbrot revealed the hidden mathematics behind nature's most complex patterns.
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Biography
How Joseph Fourier changed mathematics by revealing the wave patterns hidden inside nature.
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Biography
How Grigori Perelman solved a century-old mystery before rejecting the world's greatest honors.
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Biography
How Andrew Wiles conquered mathematics' greatest unsolved problem after 350 years.
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Biography
How Fibonacci transformed European mathematics with ideas borrowed from the East.
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Biography
How Augustin-Louis Cauchy transformed mathematics through rigorous proof.
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Biography
How Srinivasa Ramanujan transformed mathematics through pure intuition.
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Biography
How Évariste Galois solved a centuries-old problem before dying at just twenty years old.
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Biography
How Niels Abel transformed mathematics before dying at only twenty-six.
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Biography
The Woman Who Found the Perfect Way to Pack Infinity
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Biography
How Karen Uhlenbeck transformed mathematics while opening doors for generations of women in science.
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Biography
How a quiet genius from Tehran reshaped modern geometry and inspired generations of mathematicians.
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Biography
How Sofya Kovalevskaya overcame impossible barriers to change mathematics forever.
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Biography
How one overlooked mathematician forever changed mathematics and physics.
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Biography
How Sophie Germain overcame impossible barriers to transform mathematics.
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Biography
How Georg Cantor shattered mathematics by proving infinity comes in different sizes.