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dynamical systems

An illustration of eyeballs connected to many hands painting the Mona Lisa.
mathematical biology

A Mathematical Model Unlocks the Secrets of Vision

August 21, 2019

Mathematicians and neuroscientists have created the first anatomically accurate model that explains how vision is possible.

Q&A

A Mathematician Whose Only Constant Is Change

June 13, 2019

Amie Wilkinson searches for exotic examples of the mathematical structures that describe change.

Animated line drawing of Margaret Hamilton, Ellen Fetter, and a Lorenz attractor
chaos theory

The Hidden Heroines of Chaos

May 20, 2019

The story of the birth of chaos theory has left out two programming pioneers.

Art for "Brains Speed Up Perception by Guessing What’s Next"
neuroscience

Brains Speed Up Perception by Guessing What’s Next

May 2, 2019

Your expectations shape and quicken your perceptions. A new model that explains how that happens also suggests it’s time to update theories about sensory perception and decision making.

Art for "Proof Finds That All Change Is a Mix of Order and Randomness"
dynamical systems

Proof Finds That All Change Is a Mix of Order and Randomness

March 27, 2019

All descriptions of change are a unique blend of chance and determinism, according to the sweeping mathematical proof of the “weak Pinsker conjecture.”

Photo illustration of Akshay Venkatesh
2018 Fields Medal and Nevanlinna Prize

A Number Theorist Who Bridges Math and Time

August 1, 2018

Akshay Venkatesh, a former prodigy who struggled with the genius stereotype, has won a Fields Medal for his “profound contributions to an exceptionally broad range of subjects in mathematics.”

Classes of geometric structures
Abstractions blog

Why Mathematicians Like to Classify Things

August 15, 2017

It’s “a definitive study for all time, like writing the final book,” says one researcher who’s mapping out new classes of geometric structures.

Heavenly billiards
geometry

New Shapes Solve Infinite Pool-Table Problem

August 8, 2017

Two “rare jewels” have illuminated a mysterious multidimensional object that connects a huge variety of mathematical work.

3D "Basilica" Julia set
geometry

3-D Fractals Offer Clues to Complex Systems

January 3, 2017

By folding fractals into 3-D objects, a mathematical duo hopes to gain new insight into simple equations.