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Math's largest congress ends tomorrow: How logic, physics, and geometry cracked the oldest problems

Fields Medal 2026 winners Hong Wang, Yu Deng, John Pardon, and Jacob Tsimerman each solved problems that had stood open for ...
Quanta Magazine

The Quietest Mathematician Has Always Been Worth Listening To

John Pardon sees connections between different areas of math that others don’t. For that vision, he’s now been awarded a ...
GitHub

Euclid’s Gift: Enhancing Spatial Perception and Reasoning in Vision‑Language Models via Geometric Surrogate Tasks

Qwen3VL and Qwen3VL-Euclid are evaluated using the same prompting template defined in test/eval_qwen.sh to ensure a fair comparison. Spatial intelligence spans abilities such as visualizing and ...
Frontiers

A geometric semantic model and Parts-of-Sense Inference annotation framework

We introduce a geometric semantic model designed to capture fine-grained semantic representations in a multidimensional space. Building on this model, we develop a novel annotation framework that ...
Observer

Courtauld Gallery’s ‘Abstract Erotic’ Revisits Structural Sexuality in Sculpture

Louise Bourgeois, Untitled, 1971. Photo: Christopher Burke, © The Easton Foundation, VAGA at ARS, NY and DACS, London 2025 Given the period the exhibition represents ...
Quanta Magazine

Monumental Proof Settles Geometric Langlands Conjecture

In work that has been 30 years in the making, mathematicians have proved a major part of a profound mathematical vision called the Langlands program. A group of nine mathematicians has proved the ...
Frontiers

Graph embedding and geometric deep learning relevance to network biology and structural chemistry

Graphs are used as a model of complex relationships among data in biological science since the advent of systems biology in the early 2000. In particular, graph data analysis and graph data mining ...
The Conversation

X marks the unknown in algebra – but X’s origins are a math mystery

Even though x is one of the least-used letters in the English alphabet, it appears throughout American culture – from Stan Lee’s X-Men superheroes to “The X-Files” TV series. The letter x often ...