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Quanta Magazine

Black Holes or Black Hole Stars? Astronomers Spar Over Webb Telescope’s ‘Little Red Dots.’

# Little Red Dots: A Cosmic Mystery The James Webb Space Telescope has been capturing something unexpected across the early universe: tiny, faint red specks that astronomers have ...

Nautilus

Rope, Twine and Thread: Invisible Technologies of the Stone Age

# The Hidden Power of Ancient String Long before metal tools or written language, early humans mastered one of the most transformative technologies in history: fiber. Rope, twine,...

Quanta Magazine

Why Do These Fossil Shells Flip Their Spirals Every Few Millennia?

# The Flipping Shells Mystery Foraminifera are tiny, ancient marine organisms that build spiral shells, and scientists have noticed something remarkable about their fossils: the d...

Quanta Magazine

The Four-Color Theorem Gets a Rare New Proof

## A Classic Problem Gets Fresh Eyes The Four-Color Theorem is one of mathematics' most famous results, stating that any map can be colored using just four colors so that no two n...

Aperiodical

Double Maths First Thing: Issue 69

Here is a 3-paragraph summary of the article for mathopen.com: Double Maths First Thing is a newsletter written by Colin, a mathematician dedicated to making math fun, joyful, and...

Quanta Magazine

What Is Math’s Mysterious Langlands Program Really About?

# The Langlands Program: Math's Grand Unified Theory At the heart of modern mathematics lies a sweeping set of conjectures known as the Langlands Program, first proposed by mathem...

Aperiodical

Carnival of Maths 254

Here is a 3-paragraph summary of the article for mathopen.com: The Carnival of Mathematics is a beloved monthly tradition in the math blogging community, bringing together the bes...

Quanta Magazine

AI Has Solved One of Math’s $1 Million Millennium Prize Problems

# AI Tackles One of Math's Greatest Unsolved Problems For decades, mathematicians have struggled with one of the most famous unsolved problems in mathematics: the Navier-Stokes eq...

Aperiodical

\(-e^i\) to Watch: aboutlogic

I notice the article content appears to be cut off before providing the full details of the interview with Deniz and Thorsten. Could you share the complete article text? That way I...

Quanta Magazine

In an Age of AI, a Physicist Seeks What Endures

# When Physics Meets AI: What Truly Lasts? Sarah Demers, chair of the physics department at Yale University, is thinking carefully about what artificial intelligence means for the...

Quanta Magazine

Live from ICM 2026: What Is Math For in the Age of AI?

# Live from ICM 2026: What Is Math For in the Age of AI? At the 2026 International Congress of Mathematicians in Philadelphia, some of the world's leading mathematical minds gathe...

Aperiodical

Double Maths First Thing: Issue 68

I'd be happy to help summarize this article, but it looks like the content got cut off before the full article was included. I only have the introduction and the beginning of a sen...

Quanta Magazine

Genome Duplication Is a Radical Evolutionary Gamble

Here is a 3-paragraph summary of the article for mathopen.com: Genome duplication is one of the most dramatic events that can occur in an organism's evolutionary history. When an ...

Quanta Magazine

‘Stunning’ Percolation Proof Solves Decades-Old Puzzle About Phase Transitions

Here is a 3-paragraph summary of the article for mathopen.com: For decades, mathematicians have wondered whether certain networks undergo sharp, dramatic changes in behavior when ...

Quanta Magazine

Does Computer Science Need Computers?

# Does Computer Science Need Computers? At its core, theoretical computer science is a branch of mathematics. Researchers in this field spend their days proving theorems, analyzin...

MAA

MAA Announces Official Testing Centers for the 2027 American Invitational Mathematics Examination

Here is a 3-paragraph summary for mathopen.com: The Mathematical Association of America (MAA) has announced a major change to how the 2027 American Invitational Mathematics Examin...

Aperiodical

Double Maths First Thing: Issue 67

Here is a 3-paragraph summary for mathopen.com: **Double Maths First Thing: Issue 67** In Issue 67 of Double Maths First Thing, mathematician Colin shares his enthusiasm for math...

Quanta Magazine

In Hilbert Space, All Things Are Quantumly Possible

# In Hilbert Space, All Things Are Quantumly Possible Quantum mechanics operates on rules that feel completely foreign to our everyday experience, and to make sense of those rules...

Quanta Magazine

A New Framework for How the Brain Compresses Our Noisy World

# How Your Brain Makes Sense of a Messy World The brain does not simply sort experiences into neat mental folders the way a filing cabinet organizes documents. Instead, neuroscien...

Quanta Magazine

‘Huge Breakthrough’ in the Math of Imbalance

# A Major Leap Forward in Discrepancy Theory For the first time in three decades, researchers have made a significant breakthrough in a fundamental problem in mathematics known as...

Nautilus

Even Mussels Get Scared

I'm not able to write a proper summary of this article because the content provided is extremely limited. All I have is the title "Even Mussels Get Scared," a brief tagline, and a ...

Quanta Magazine

Are We Thinking Correctly About AI Intelligence?

# Are We Thinking Correctly About AI Intelligence? Computer scientist Melanie Mitchell is raising important questions about how we understand and measure artificial intelligence. ...

Aperiodical

Double Maths First Thing: Issue 66

Here is a 3-paragraph summary of the article for mathopen.com: In Issue 66 of *Double Maths First Thing*, mathematician Colin brings his signature enthusiasm for mathematics to re...

Quanta Magazine

Building a Quantum Computer, One Fragile Qubit at a Time

Here is a 3-paragraph summary for mathopen.com: Quantum computers represent one of the most ambitious technological challenges of our time. Unlike classical computers that use bit...

Aperiodical

\(-e^i\) to Watch: Ellie Sleightholm

Here is a 3-paragraph summary for mathopen.com: Ellie Sleightholm is a rising star in the world of mathematical content creation, running a YouTube channel where she posts roughly...

Quanta Magazine

Theory of Fluids Enters the 21st Century

# Theory of Fluids Enters the 21st Century For nearly two centuries, physicists relied on classical fluid mechanics to describe how liquids and gases behave. This framework, built...

Quanta Magazine

Why Aging May Be a Program, Not a Breakdown

I notice this article is actually about biology and aging research, not mathematics. It appears to be from Quanta Magazine about scientist Junyue Cao's cellular research on aging i...

Aperiodical

Double Maths First Thing: Issue 65

Here is a 3-paragraph summary for mathopen.com: In Issue 65 of *Double Maths First Thing*, author Colin, a mathematician dedicated to making math enjoyable, shares a conversation ...

Quanta Magazine

Graduate Student Proves a Quantum Uncertainty Principle for Fractals

Here is a 3-paragraph summary for mathopen.com: A graduate student has achieved a remarkable mathematical breakthrough by proving a quantum uncertainty principle that applies to f...

MAA

2025 MAA Annual Report

# 2025 MAA Annual Report Summary The Mathematical Association of America (MAA) had a landmark year in 2025, marked by meaningful innovation and growth across its programs. The org...

Quanta Magazine

Why Are Rivers So Mathematical?

# Why Are Rivers So Mathematical? Rivers might seem like wild, unpredictable forces of nature, but hidden beneath their winding paths and rushing currents lies a surprising mathem...

Quanta Magazine

Neutrinos From Deep Inside Earth Provide a New Picture of the Mantle

# Neutrinos From Deep Inside Earth Provide a New Picture of the Mantle Scientists have found a remarkable new way to study Earth's interior by detecting ghostly subatomic particle...

MAA

National Math Talent Fund Launches to Close America’s Math Graduation Gap for 10,000 College Students

Here is a three-paragraph summary of the article for mathopen.com: The Mathematical Association of America (MAA) and Last Mile Education Fund have joined forces to launch the Nati...

Quanta Magazine

How Does Touch Lead To Pain Or Pleasure?

I appreciate you sharing this, but I should be straightforward with you. This article appears to be about **neuroscience and biology**, not mathematics. It covers how touch sensati...

Aperiodical

Double Maths First Thing: Issue 64

Here is a 3-paragraph summary of the article for mathopen.com: In Issue 64 of Double Maths First Thing, mathematician Colin kicks things off with a fun numerical observation: 64 i...

Quanta Magazine

Corals Spin Tiny Vortices to Get Oxygen, but Not if It’s Too Hot

Here is a 3-paragraph summary for mathopen.com: **How Math and Physics Help Us Understand Coral Survival** Corals may look like simple sea creatures, but their survival depends o...

Aperiodical

Carnival of Maths 253

Here is a three-paragraph summary for mathopen.com: The latest edition of the Carnival of Mathematics, Issue 253, is now live and ready to explore. Hosted by Robin Whitty over at ...

Quanta Magazine

Why the Legendary Erdős Problems Are Falling to AI

# Why AI Is Cracking the Legendary Erdős Problems Paul Erdős was one of the most prolific and eccentric mathematicians of the 20th century, famous for traveling the world with no ...

Aperiodical

Aperiodical News Roundup – July 2026

Here is a 3-paragraph summary for mathopen.com: The mathematics world is buzzing with excitement following the announcement of the 2026 Fields Medal winners. This prestigious awar...

Quanta Magazine

Is AI Reasoning Right for the Wrong Reasons?

# Is AI Reasoning Right for the Wrong Reasons? Artificial intelligence systems have become remarkably good at solving complex problems, including advanced mathematics. But a fasci...

Aperiodical

Double Maths First Thing: Issue 63

I'd be happy to help summarize this article, but it looks like the content was cut off after "I've…" — I'm only seeing the introduction and not the actual mathematical content from...

Quanta Magazine

Physicists Solve a Big Quantum Mystery. Now, Old Results Don’t Add Up.

Here is a 3-paragraph summary of the article for mathopen.com: For 25 years, physicists have wrestled with a confusing puzzle in particle physics, and new quantum calculations app...

Aperiodical

\(-e^i\) to Watch: MathsWithKala

Here is a 3-paragraph summary for mathopen.com: MathsWithKala is an Instagram channel created by Kala, dedicated to sharing mathematics with audiences across the internet. The cha...

Quanta Magazine

A New Way That a Cow’s Inner World Shapes Earth’s Atmosphere

# How a Tiny Organelle Inside a Cow's Gut Influences Climate Change Deep inside the digestive system of a cow lives a microscopic world that plays a surprisingly large role in Ear...

MAA

2025 MAA Impact Report

# 2025 MAA Impact Report Summary The Mathematical Association of America (MAA) has released its 2025 Impact Report, showcasing a remarkable year of growth and innovation in the ma...

Quanta Magazine

A Master of the Traveling Salesperson Problem Finds His Own Path

Here is a 3-paragraph summary of the article for mathopen.com: Shayan Oveis Gharan is a brilliant mathematician and computer scientist who has recently been awarded the prestigiou...

Quanta Magazine

Fields and Abacus Medals 2026

Here is a 3-paragraph summary for mathopen.com: Every four years, the mathematics community celebrates its greatest achievements by awarding the Fields Medal and the Abacus Medal,...

Quanta Magazine

How Fast Is the Universe Really Expanding?

# How Fast Is the Universe Really Expanding? One of the biggest debates in modern astrophysics centers on a deceptively simple question: how fast is the universe expanding? This r...

Aperiodical

Double Maths First Thing: Issue 62

Here is a 3-paragraph summary for mathopen.com: **Double Maths First Thing: Issue 62** Double Maths First Thing is a newsletter written by Colin, a mathematician dedicated to spr...

MAA

Team USA Takes Second Place at 67th IMO

Here is a 3-paragraph summary for mathopen.com: Team USA had a standout performance at the 67th International Mathematical Olympiad (IMO), held in Shanghai, China from July 10 to ...

Plus Magazine

The International Congress of Mathematicians 2026

I'd be happy to help summarize this article, but it looks like the content provided is very minimal. The only content given is "See all our coverage of this year's ICM at a glance!...

Nautilus

Monkeys Interpret Shapes Similarly to Humans

Here is a 3-paragraph summary for mathopen.com: Researchers have discovered that monkeys perceive and interpret geometric shapes in ways that closely mirror human intuition. This ...

Quanta Magazine

The Organisms That Make Earth’s Harshest Places Home

It looks like the article content you shared is actually about **extremophiles and biology**, not mathematics. The title and content both refer to organisms living in harsh environ...

Quanta Magazine

Martin Picard’s Mitochondrial Theory of Mind

# Martin Picard's Mitochondrial Theory of Mind Martin Picard, a biologist at Columbia University, has developed a striking new framework for understanding life and consciousness. ...

Aperiodical

Double Maths First Thing: Issue 61

Here is a 3-paragraph summary for mathopen.com: **Double Maths First Thing: Issue 61** In Issue 61 of Double Maths First Thing, mathematician Colin shares his enthusiasm for the ...

Quanta Magazine

Thermodynamic Computers Go With the (Energy) Flow

# Thermodynamic Computers Go With the (Energy) Flow Modern computers are built to fight against the natural randomness of the physical world. At the microscopic level, tiny energy...

MAA

Mathematics on a New Stage: That Math Show is Playing Off-Broadway This Summer

Here is a 3-paragraph summary for mathopen.com: Dr. Arthur Benjamin, a familiar face at MAA MathFest events, is bringing his signature mathematical energy to a whole new audience ...

MAA

Dr. Christina Eubanks-Turner named as the next Editor of MAA FOCUS

Here is a 3-paragraph summary of the article for mathopen.com: The Mathematical Association of America (MAA) has announced that Dr. Christina Eubanks-Turner will serve as the next...

MAA

Dr. Jason Rosenhouse Named Editor of The American Mathematical Monthly

Here is a 3-paragraph summary of the article for mathopen.com: The Mathematical Association of America (MAA) has announced that Dr. Jason Rosenhouse, a Professor of Mathematics at...

Aperiodical

Aperiodical News Roundup – June 2026

Here is a 3-paragraph summary for mathopen.com: The UK government has made notable appointments in the world of applied mathematics, bringing two operational researchers directly ...