An unusual new ‘homologous series’ of barium compounds forms a potentially infinite sequence of related structures with predictable unit cells. The US team behind this discovery says that ...

Have you ever heard the phrase “gender is a social construct” or “sex is a social construct” and wondered, What does this mean? Well, I (Amelia, a Sexual Health Peer Resource Center counselor and ...

The genetic code is universal in all organisms. It uses the same 4 bases to code for the same set of 20 amino acids to produce all proteins across all organisms. This suggests that all organisms are ...

Abstract: While persistent homology is a basic but useful tool for describing the topological features of spaces, it has rarely been applied to describe the chaotic attractor whose shape could be very ...

This work introduces Topology-Aware 3D Gaussian Splatting (Topology-GS), which addresses two key limitations in current approaches: compromised pixel-level structural integrity due to incomplete ...

You may have come across the term 'gaslighting' while casually scrolling on TikTok or in an Instagram infographic, and wondered if it's happening you. The origins of the word 'gaslight' come from a ...

Abstract: Topological data analysis provides a set of tools to uncover low-dimensional structure in noisy point clouds. Prominent amongst the tools is persistence homology, which summarizes ...

My brilliant and wonderful PhD student Adrián Doña Mateo and I have just arXived a new paper: Adrián Doña Mateo and Tom Leinster. Magnitude homology equivalence of Euclidean sets. arXiv:2406.11722, ...

This course focuses on three-dimensional geometry processing, while simultaneously providing a first course in traditional differential geometry. Our main goal is to show how fundamental geometric ...

More than 30 years ago, Andreas Floer changed geometry. Now, two mathematicians have finally figured out how to extend his revolutionary perspective. Arnold’s work was in an area of mathematics that ...