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combinatorics

Hugo Duminil-Copin wearing glasses
2022 Fields and Abacus Medals

For His Sporting Approach to Math, a Fields Medal

By Jordana Cepelewicz
July 5, 2022
Read Later

With Hugo Duminil-Copin, thinking rarely happens without moving. His insights into the flow-related properties of complex networks have earned him the Fields Medal.

June Huh with a polyhedron.
2022 Fields and Abacus Medals

He Dropped Out to Become a Poet. Now He’s Won a Fields Medal.

By Jordana Cepelewicz
July 5, 2022
Read Later

June Huh wasn’t interested in mathematics until a chance encounter during his sixth year of college. Now his profound insights connecting combinatorics and geometry have led to math’s highest honor.

Maryna Viazovska seated on the wooden steps of an amphitheater at the Swiss Federal Institute of Technology Lausanne.
2022 Fields and Abacus Medals

In Times of Scarcity, War and Peace, a Ukrainian Finds the Magic in Math

By Thomas Lin +1 authors
Erica Klarreich
July 5, 2022
Read Later

With her homeland mired in war, the sphere-packing number theorist Maryna Viazovska has become the second woman to win a Fields Medal in the award’s 86-year history.

Quantized Academy

What a Math Party Game Tells Us About Graph Theory

By Patrick Honner
March 24, 2022
Read Later

Play this simple math game with your friends to gain insights into fundamental principles of graph theory.

Blurry figures representing quantum officers are arranged in a grid against a black background.
mathematical physics

Euler’s 243-Year-Old ‘Impossible’ Puzzle Gets a Quantum Solution

By Daniel Garisto
January 10, 2022
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A surprising new solution to Leonhard Euler’s famous “36 officers puzzle” offers a novel way of encoding quantum information.

An illustration of a mathematician on a ladder stringing red and blue beads against a tiled red backdrop dotted with blue circles.
combinatorics

Mathematician Hurls Structure and Disorder Into Century-Old Problem

By Erica Klarreich
December 15, 2021
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A new paper shows how to create longer disordered strings than mathematicians had thought possible, proving that a well-known recent conjecture is “spectacularly wrong.”

An image with Lego blocks representing polynomials and their factors.
polynomials

Mathematicians Find Structure in Biased Polynomials

By Tamar Lichter Blanks
November 9, 2021
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New work establishes a tighter connection between the rank of a polynomial and the extent to which it favors particular outputs.

combinatorics

Mathematician Answers Chess Problem About Attacking Queens

By Leila Sloman
September 21, 2021
Read Later

The n-queens problem is about finding how many different ways queens can be placed on a chessboard so that none attack each other. A mathematician has now all but solved it.

Illustration showing a graph against a purple background, with certain vertices and edges highlighted in orange.
combinatorics

Mathematicians Answer Old Question About Odd Graphs

By Kevin Hartnett
May 19, 2021
Read Later

A pair of mathematicians solved a legendary question about the proportion of vertices in a graph with an odd number of connections.


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