Large language models can write essays, solve math problems, and generate computer code, but it’s not fully understood how ...

Aphantasia, the inability to form mental images, poses a serious challenge to an influential theory of abstract thought in ...

Somewhat surprisingly, work in quantum physics leads to interesting questions in algebraic graph theory. I will discuss three cases. (1) Quantum walks: if 𝐴 is the adjacency matrix of a graph 𝑋, the ...

Researchers around the world are racing to develop new quantum-based systems for sensing, communication, computing and control that have the promise of outperforming traditional systems. Creating ...

What Albert Einstein was to 20th-century physics, Alexander Grothendieck was to 20th-century mathematics. He is much less well known because math gets technical even more quickly than physics does.

Several fields of mathematics have developed in total isolation, using their own 'undecipherable' coded languages. Mathematicians now present 'big algebras,' a two-way mathematical 'dictionary' ...

Algebraic structures such as groups, rings and modules provide a rigorous framework for organising and manipulating mathematical objects. Graph theory, concerned with vertices connected by edges, has ...

Cancer Res (2026) 86 (7_Supplement): 6865. ClinicalTrials.gov lists >500,000 studies, raising the question of how often “new” trials are truly novel versus incremental design variants. Lung cancer ...

Mathematics has always demanded patience. From solving linear equations in algebra to navigating derivatives and integrals in calculus, the journey often involves multiple steps, careful checking, and ...

The San Francisco school board approved a plan to restore algebra as an option at all middle schools, more than a decade after it was removed over equity concerns. By Dana Goldstein The San Francisco ...

Abstract: The concept of viewing graph solvability has gained significant interest in the context of structure-from-motion. A viewing graph is a mathematical structure where nodes are associated with ...