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The Riemann Hypothesis, Explained

The Biggest Project in Modern Mathematics

2020's Biggest Breakthroughs in Physics

The High Schooler Who Solved a Prime Number Theorem

2020's Biggest Breakthroughs in Math and Computer Science

The Year's Biggest Breakthroughs in Math and Computer Science

2022's Biggest Breakthroughs in Math

2021's Biggest Breakthroughs in Physics

2021's Biggest Breakthroughs in Math and Computer Science

The Year's Biggest Breakthroughs in Physics

2021's Breakthroughs in Neuroscience and Other Biology

The Man Who Revolutionized Computer Science With Math

Introduction

Quantum Computers, Explained With Quantum Physics

A glimpse into the mystery of the Riemann Hypothesis

2023's Biggest Breakthroughs in Math

The world of prime numbers

Logarithm Function and Gauss's Conjecture

Leonard Euler and infinite series

Carl Friedrich Gauss looks for primes, Prime Counting Function

Euler and the Zeta Function

Strassen's faster algorithm for faster matrix multiplication methods

Imaginary and complex numbers

The standard algorithm for multiplying matrices

Bernhard Riemann enters the prime number picture

Riemann's Hypothesis shows the distribution of prime numbers can be predicted

Zeta Zeros and the critical strip

What is matrix multiplication?

The search for a proof of the Riemann Hypothesis

Complex Analysis and the Zeta Function

What is a tensor?

DeepMind uses AI system AlphaTensor to search for new algorithms

The critical line

Programming vs Writing

Tensor decomposition explained

A computer helps prove the four color theorem

How Physicists Created a Holographic Wormhole in a Quantum Computer

How Two Physicists Unlocked the Secrets of Two Dimensions

Could One Physics Theory Unlock the Mysteries of the Brain?

DeepMind AlphaGo beats a human

AlphaTensor discovers new and faster faster matrix multiplication algorithms

This U.S. Olympiad Coach Has a Unique Approach to Math

Thinking Mathematically

The Theory That Could Rewrite the Laws of Physics

The Most Successful Scientific Theory Ever: The Standard Model

2023's Biggest Breakthroughs in Computer Science

How NASA’s Webb Telescope Will Transform Our Place in the Universe

2023's Biggest Breakthroughs in Physics

Serendipity

Modular Forms

The continent of Harmonic Analysis

Robert Langlands' conjectures link the two worlds

2023's Biggest Breakthroughs in Biology and Neuroscience

When Computers Write Proofs, What's the Point of Mathematicians?

Wormhole

Pierre De Fermat's Last Theorem

The Year's Biggest Breakthroughs in Biology

Intro to a second law of quantum complexity

State Machines

Modular arithmetic

Mathematician Manuel Kauers improves on AlphaTensor's results

The Scientific Problem of Consciousness

Wiles' proof of Fermat's Last Theorem

Elliptic curves

Entropy drives most closed systems to thermal equilibrium. Why are black holes different?

Algorithms

Industry

2020's Biggest Breakthroughs in Biology

Intro

How AI Discovered a Faster Matrix Multiplication Algorithm

A Bet Against Quantum Gravity

Frey's counterexample to Frey's last theorem

The Bridge Between Math and Quantum Field Theory

What is the to the Four Color Problem

Quantum complexity and entanglement might explain black holes

Kempe's first proof techniques using planar graphs and unavoidable sets

Using a block cipher and cryptography to test the theory

A turn to computational circuit complexity to describe black holes

Embracing a quantum universe leads to new insights

The Langlands Program, Explained

What is a protein?

The coach

A new law of physics is proposed

When quantum complexity reaches an end...the universe begins again

Historical origins of the map coloring theorem

The Standard Model: The Most Successful Scientific Theory Ever

What Happens if You Fall Into a Black Hole?

Critical Assessment of protein Structure Prediction (CASP) challenge

Baker lab develops RoseTTA

Heawood finds a flaw in Kempe's proof

How Appel and Haken used a computer to verify their proof

Deep Neural Networks

Can a New Law of Physics Explain a Black Hole Paradox?

One Man's Mission to Unveil Math's Beauty

End of the Black Hole Information Paradox

The Most Famous Paradox in Physics Nears Its End

Math - 2023's Biggest Breakthroughs

Christian Anfinsen's Nobel winning research

DeepMind develops AlphaFold 1 to enter CASP 13

The beginnings of computational biology

Secondary and tertiary folding structures

Chemical structure of amino acids

AlphaFold 2 explained

The Protein Data Bank (PDB)

How Formal Verification finds programming bugs

UVO Field

Suggestions

What is math

Vector addition systems (vass) and the reachability problem

The Quantum Computer

The Ackermann function explained

Applications of the proof in the study of network theory

P vs. NP: The Biggest Puzzle in Computer Science

The Mechanical Secret of a Brainless Animal

When Biology Meets Computer Science

The Standard Model of Particle Physics: A Triumph of Science

How Feynman Diagrams Almost Saved Space

New Letters Added to the Genetic Alphabet

DeepMind wins CASP 14 and solves the protein folding problem

How the Baker lab designs new proteins

A final solution to the vas reachability problem is found

Identification of lower and upper bounds of the problem

The Wormhole

Infinity

The Physicist Who Travels Across Disciplines, Space and Time

What No New Particles Means for Physics

What Your Brain Is Really Doing When Doing 'Nothing'

Finally, a Picture of the Milky Way's Supermassive Black Hole

Experiment Reaffirms Quantum Weirdness

To Live Your Best Life, Do Mathematics

Dividing Droplets Could Explain Life’s Origin

Neutrinos Hint of Matter-Antimatter Rift

The New History of the Milky Way

Biggest Breakthroughs in Math: 2023

Math’s Famous Map Problem: The Four Color Theorem

Why vision is a hard problem

Muon Experiment

A Long-Sought Proof, Found and Almost Lost

A New Blast May Have Forged Cosmic Gold

Artificial Neural Nets Finally Yield Clues to How Brains Learn

Albert Einstein, Holograms and Quantum Gravity

The Oracle of Arithmetic

Inside Dynamical Systems and the Mathematics of Change

How Life and Luck Changed Earth’s Minerals

How the network creates a sense of self

David Baker, John Jumper, and Demis Hassabis win the Nobel Prize

Functional brain networks

Interaction with other networks and brain dysfunction

What psilocybin reveals about the network

Hans Berger and the discovery of the network

Space-Time: The Biggest Problem in Physics

The New Laws of Explosive Networks

The network's role in episodic, prospective, and semantic memory

An AI revolution in biological research

What is the default mode network?

Can Large Language Models Understand ‘Meaning’?

Origins of concurrent computing and challenges

Connections between music and math

Can Large Language Models Understand ‘Meaning’?

Is string theory and loop quantum gravity theory wrong?

Causal Dynamical Triangulations theory (CDT)

The Digital Quest for Quantum Gravity

The Biophysics of a Brainless Animal

The future of quantum gravity research

What Are Feynman Diagrams?

Chapters

Biologists Search for New Model Organisms

A Bird’s-Eye View of Nature’s Hidden Order

What Makes Physics Beautiful, According to a Nobel Prize Winner

What Is Universality?

Newfound Wormhole Allows Information to Escape Black Holes

Computing’s Search for Quantum Questions

Hacker-Proof Code Confirmed

New Life Found That Lives Off Electricity

Time Crystals

Fighting for Equality in Computer Science and Beyond

3-D Fractals Offer Clues to Complex Systems

How to Cut Cake Fairly and Finally Eat It Too

Alexei's scientific superpower

History of computer vision

Pentagon Tiling Proof Solves Century-Old Math Problem

Life Didn't Start with the 'Primordial Soup'

Grand Unification Dream Kept at Bay

A New Twist Reveals Superconductivity’s Secrets

How to Build Truly Intelligent AI

Scientists Debate the Origin of Cell Types in the First Animals

Why Did Life Move to Land? For the View

Dark Matter Recipe Calls for One Part Superfluid

The Case Against Dark Matter

New Number Systems Seek Their Lost Primes

Computer vision in the Berkeley Artificial Intelligence Lab

The Reachability Problem

Humans are detectors of hidden math

Predicting Eclipses: The Three-Body Problem

Using the block cipher and cryptography to test the theory

Cilia

Quantum complexity and entanglement explain black holes

Biology and Neuroscience - 2023's Biggest Breakthroughs

How Math’s Famous Map Theorem Was Solved With Computers

Riemann Hypothesis

Riemanns Solution

Walking Cilia

How a Computer Broke a 50-Year Math Record

Prime Counting

The Riemann Hypothesis

Exploring the Deep Mystery of Life's Origins

James Maynard Solves the Hardest Easy Math Problems

How Scientists Finally Finished the Human Genome

How Scientists Finally Finished the Human Genome

The Cosmologist Challenging Einstein

Why Extraterrestrial Life Might Not Be So Alien

Why COVID-19 Models Don’t Predict the Future

DNA of Giant ‘Corpse Flower’ Parasite Surprises Biologists

The Mystery at the Heart of Physics That Only Math Can Solve

How to Shrink Big Data

A Newfound Source of Cellular Order in the Chemistry of Life

For Embryo’s Cells, Size Can Determine Fate

Fossil DNA Reveals New Twists in Modern Human Origins

Pincelli Hull Explains What Killed Off the Dinosaurs

A Surprise Source of Life’s Code

Machines Beat Humans on a Reading Test. But Do They Understand?

Mathematicians Find Wrinkle in Famed Fluid Equations

Secret Link Uncovered Between Pure Math and Physics

At Tiny Scales, a Giant Burst on Tree of Life

Visions of Future Physics

The Neuroscience Behind Bad Decisions

Quanta Writers and Editors Discuss Trends in Science and Math

Can Microbes Encourage Altruism?

How Physicists Simulated a Wormhole in a Quantum Computer

Eternal Change for No Energy: A Time Crystal Finally Made Real

Giant Genetic Map Shows Life’s Hidden Links

What Makes for 'Good' Math?

How AI Solved Protein Folding and Won a Nobel Prize

How to Predict Eclipses: The Three-Body Problem

Physicists Use Quantum Mechanics to Pull Energy out of Nothing

Computer Science - 2023's Biggest Breakthroughs

Blocks Produce 31 Collisions

The Woman Who's Rewriting Higher Category Theory

Inside the Big Reveal of the Milky Way's Supermassive Black Hole

The New Thermodynamic Understanding of Clocks

Block Collision Vectors Fill In a Circle

Mathematician Hurls Structure and Disorder Into Century-Old Problem

Rumbles on Mars Raise Hopes of Underground Magma Flows

One Lab’s Quest to Build Space-Time Out of Quantum Particles

Plate Tectonics: The Mystery of Earth's Many Faces

Black Hole Jets: One of the Biggest Mysteries in the Universe

Ken Ono: A Life Inspired by an Unexpected Genius

In Game Theory, No Clear Path to Equilibrium

How to Quantify (and Fight) Gerrymandering

A Puzzle of Clever Connections Nears a Happy End

Colliding Black Holes Tell New Story of Stars

Simple Set Game Proof Stuns Mathematicians

Researchers Tap a Sleep Switch in the Brain

Strange Dark Galaxy Puzzles Astrophysicists

Physicists Hunt for the Big Bang’s Triangles

Dark Energy May Be Weakening, Major Astrophysics Study Finds

Brain's 'Background Noise' May Explain Value of Shock Therapy

AI Starts to Sift Through String Theory's Near-Endless Possibilities

Insects and Other Animals Have Consciousness, Experts Declare

Levinthal Paradox