Researchers achieve calculation of Jones polynomial based on the Majorana zero modes

A research team has experimentally calculated the Jones polynomial based on the quantum simulation of braided Majorana zero ...
JSTOR Daily

PROJECTIVE STAR OPERATIONS ON POLYNOMIAL RINGS OVER A FIELD

ABSTRACT. We consider the polynomial ring 𝑆 := 𝐾[𝑋₀,...,𝑋𝑛] over a field 𝐾 and the rings 𝑅𝑖 := 𝐾[(𝑋₀/𝑋𝑖),...,(𝑋𝑛/𝑋i ...
Quanta Magazine

Galois Groups and the Symmetries of Polynomials

Before being mortally wounded in a duel at age 20, Évariste Galois discovered the hidden structure of polynomial equations. By studying the relationships between their solutions β€” rather than the ...
Quanta Magazine

Mathematicians Resurrect Hilbert’s 13th Problem

Long considered solved, David Hilbert’s question about seventh-degree polynomials is leading researchers to a new web of mathematical connections. Success is rare in math. Just ask Benson Farb. β€œThe ...