Mathematical Research Assistants
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GTBench: A Curriculum-Grounded Benchmark for Evaluating LLMs as Mathematical Research Assistants in Graph Theory
Announce Type: new Abstract: Large language models (LLMs) are increasingly used as self-study assistants in technical disciplines, yet their reliability as mathematical reasoning assistants remains poorly understood. We introduce GTBench, a curriculum-grounded benchmark for evaluating LLMs as mathematical research assistants in graph theory, comprising 63 problems organized into three groups of increasing difficulty: undergraduate definitions and basic properties (Group 1), algorithm tracing...
Leiden Declaration on Artificial Intelligence and Mathematics
Declaration text Leiden Declaration on Artificial Intelligence and Mathematics Preamble Technological developments have repeatedly transformed the practice of mathematics. Recent artificial intelligence technologies, including symbolic and neural methods for the generation and formalization of mathematics, may already have initiated a significant chapter in this long history. Among researchers, artificial intelligence has produced a wide range of reactions: enthusiasm for its potential to...
A golden age of maths is dawning and mathematicians are freaking out
I am attempting to solve a mathematical conundrum that has stumped many of humanity’s greatest thinkers. I have zero mathematical training, apart from a distant undergraduate physics degree, which should put my odds of success at slim to none. But I also have a trick up my sleeve – a kind of mathematical genie that can conjure arcane secrets seemingly out of thin air.
Bacteria can learn and form memories without a brain
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Extraction and Search in Rocq: Theorems, Definitions and Their dependencies
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Co-evolving Agent Architectures and Interpretable Reasoning for Automated Optimization
arXiv:2604.17708v2 Announce Type: replace Abstract: Automating operations research (OR) with large language models (LLMs) remains limited by hand-crafted reasoning--execution workflows. Complex OR tasks require adaptive coordination among problem interpretation, mathematical formulation, solver selection, code generation, and iterative debugging. To address this limitation, we propose EvoOR-Agent, a co-evolutionary framework for automated optimization.
New discovery upends an 80-year-old theory of turbulence
New discovery upends an 80-year-old theory of turbulence Scientists have found a way to steer the flow of turbulent energy, overturning a long-held rule. - Date: - June 3, 2026 - Source: - University of Pittsburgh - Summary: - Researchers discovered a way to reverse the direction of energy flow in turbulence, challenging a theory that has stood for more than 80 years.
Superintelligence: The Idea That Eats Smart People (2016)
This is the text version of a talk I gave on October 29, 2016, at Web Camp Zagreb [video] (45 mins) SuperintelligenceThe Idea That Eats Smart People | | | In 1945, as American physicists were preparing to test the atomic bomb, it occurred to someone to ask if such a test could set the atmosphere on fire. This was a legitimate concern.
When AI Builds Itself: Our progress toward recursive self-improvement
For most of AI’s history, humans drove every step in its development cycle. But at Anthropic, we are delegating a growing share of AI development to AI systems themselves, which is speeding up our work. Taken far enough, and given enough compute, that trend points to an AI system capable of fully autonomously designing and developing its own successor.
Mitochondria directly interact with the nuclear pore complex
Abstract Mitochondria regulate cellular processes through direct and indirect interactions with other organelles. A well-studied example has been contact with the endoplasmic reticulum at mitochondrial-associated endoplasmic reticulum membranes1, which control pathways including redox and calcium homeostasis2,3. Recent studies have also reported direct mitochondria–nuclear membrane contacts in cancer cells and yeast that promote pro-survival signalling4,5.