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New model uses within‑day mobile phone movement to map where and when infections spreadHow disturbances stay glued to a moving surface in relativistic fluids and gasesMathematicians rework an integrable hierarchy tied to 3D spacetime symmetriesIntegers inside the rationals can be detected by seven unknowns, not tenA five‑charge arrangement disproves Maxwell’s long‑standing conjectureComplete calculation of the strict-unit spectrum of topological modular formsA more accurate way to compute the volume inside a temperature isosurface on a 3D gridHow ‘sublinear expansion’ helps solve hard problems about sparse networksA new, compact way to describe option prices by fitting the distribution’s quantilesA short, combinatorial proof that certain Artin groups have classifying spacesNew model uses within‑day mobile phone movement to map where and when infections spreadHow disturbances stay glued to a moving surface in relativistic fluids and gasesMathematicians rework an integrable hierarchy tied to 3D spacetime symmetriesIntegers inside the rationals can be detected by seven unknowns, not tenA five‑charge arrangement disproves Maxwell’s long‑standing conjectureComplete calculation of the strict-unit spectrum of topological modular formsA more accurate way to compute the volume inside a temperature isosurface on a 3D gridHow ‘sublinear expansion’ helps solve hard problems about sparse networksA new, compact way to describe option prices by fitting the distribution’s quantilesA short, combinatorial proof that certain Artin groups have classifying spaces

Today's Briefing

Friday, July 31, 2026
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MathematicsFeatured briefing

New model uses within‑day mobile phone movement to map where and when infections spread

This paper presents a new modelling framework that uses within‑day human movement to redefine how we measure transmissibility during an outb

July 31, 2026EN2 min read
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Latest Research

Mathematics
July 31, 2026

How disturbances stay glued to a moving surface in relativistic fluids and gases

This paper studies small disturbances that stay close to a flat surface moving at constant speed through a relativistic medium. Examples inc

EN
2 min read
Mathematics
July 31, 2026

Mathematicians rework an integrable hierarchy tied to 3D spacetime symmetries

Main idea: The paper revisits a previously proposed integrable system connected to BMS3, the symmetry group that describes allowed changes a

EN
2 min read
Mathematics
July 31, 2026

Integers inside the rationals can be detected by seven unknowns, not ten

This paper shows that the set of non-integers among rational numbers can be described by a single polynomial equation that uses only seven q

EN
2 min read
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Physics
July 30, 2026

A five‑charge arrangement disproves Maxwell’s long‑standing conjecture

A new mathematical example shows that a conjecture attributed to J. C. Maxwell about the number of equilibria of an electric field is false.

EN
2 min read
Mathematics
July 30, 2026

Complete calculation of the strict-unit spectrum of topological modular forms

This paper computes the spectrum of strict units of TMF, the spectrum of topological modular forms. “Strict units” are a homotopy-theoretic

EN
2 min read
Mathematics
July 29, 2026

A more accurate way to compute the volume inside a temperature isosurface on a 3D grid

This paper addresses a practical numerical problem: how to compute the volume enclosed by a temperature isosurface when the temperature is k

EN
2 min read
Mathematics
July 29, 2026

How ‘sublinear expansion’ helps solve hard problems about sparse networks

This paper is a survey of recent progress in graph theory that used a weak but useful form of connectivity called sublinear expansion. In pl

EN
2 min read
Mathematics
July 28, 2026

A new, compact way to describe option prices by fitting the distribution’s quantiles

This paper proposes a new method for describing the probabilities that financial markets use to price options. Instead of working with the u

EN
2 min read
Mathematics
July 28, 2026

A short, combinatorial proof that certain Artin groups have classifying spaces

These notes explain a proof, aimed at non-specialists, of a long-standing geometric statement about Artin groups in the spherical case. Roug

EN
2 min read
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