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Black holes of various sizes
black holes

Physicists Argue That Black Holes From the Big Bang Could Be the Dark Matter

September 23, 2020

It was an old idea of Stephen Hawking’s: Unseen “primordial” black holes might be the hidden dark matter. A new series of studies has shown how the theory can work.

Quantized Academy

The Simple Math Problem We Still Can’t Solve

September 22, 2020

Despite recent progress on the notorious Collatz conjecture, we still don’t know whether a number can escape its infinite loop.

Photo of students sitting at desks competing in the International Mathematical Olympiad
Abstractions blog

At the Math Olympiad, Computers Prepare to Go for the Gold

September 21, 2020

Computer scientists are trying to build an AI system that can win a gold medal at the world’s premier math competition.

water molecules, droplets and a wave
Abstractions blog

How Mathematical ‘Hocus-Pocus’ Saved Particle Physics

September 17, 2020

Renormalization has become perhaps the single most important advance in theoretical physics in 50 years.


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Aerial image of a complicated road network.
Abstractions blog

A New Algorithm for Graph Crossings, Hiding in Plain Sight

Two computer scientists found — in the unlikeliest of places — just the idea they needed to make a big leap in graph theory.

A false-colored scanning electron micrograph of a macrophage.

‘Trained Immunity’ Offers Hope in Fight Against Coronavirus

September 14, 2020

A novel form of immunological memory that was mostly ignored for a century extends the benefits of vaccines. It could be of help in ending the COVID-19 pandemic.

An abstract illustration showing broken tools, cubes, numbers and other abstract representations of impossible math
Quantized Columns

When Math Gets Impossibly Hard

September 14, 2020

Mathematicians have long grappled with the reality that some problems just don’t have solutions.

A comically long “missing persons” poster for an odd perfect number that shows all the restrictions it has to satisfy.
number theory

Mathematicians Open a New Front on an Ancient Number Problem

September 10, 2020

For millennia, mathematicians have wondered whether odd perfect numbers exist, establishing an extraordinary list of restrictions for the hypothetical objects in the process. Insight on this question could come from studying the next best things.

Close-up photo of a carpenter ant queen carrying eggs.

How Two Became One: Origins of a Mysterious Symbiosis Found

September 9, 2020

Carpenter ants need endosymbiotic bacteria to guide the early development of their embryos. New work has reconstructed how this deep partnership evolved.