A New Window into Toric Geometry’s Derived World

The study of toric varieties has long inhabited the crosscurrents of geometry, combinatorics, and algebra. In this story, symmetry serves as a guide through the labyrinth of derived categories—the library of all coherent sheaves that encode geometric information. Xiaodong Yi’s new work builds on Bondal’s conjecture and adds a flexible twist: a generalized Thomsen collection…

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The Hidden Cipher Slipping Past AI Safety Nets

Intro Large language models have become the modern wild west of text: powerful, versatile, and increasingly hard to pin down. As their capabilities scale, so do the tricks people devise to coax them into saying or doing things their designers don’t intend. Among the cleverest strategies are obfuscation-based jailbreaks, where a malicious request is hidden…

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A New Programming Language That Only Makes Sense

Forget everything you think you know about programming languages. Researchers at Shanghai Jiao Tong University have created PolyC, a revolutionary imperative programming language that fundamentally redefines what’s possible in terms of program verification and efficiency. This isn’t just another tweak to an existing language — it’s a whole new paradigm, one that offers inherent safety…

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When Robots Meet Humans AI Crafts Their Most Dangerous Tests

Why Testing Robots Is More Than Just Pushing Buttons Autonomous mobile robots (AMRs) are no longer sci-fi dreams—they’re real workers in warehouses, offices, and stores, quietly navigating aisles and corridors alongside humans. But here’s the catch: humans are unpredictable. They might suddenly stop, change direction, or do something the robot’s software never anticipated. This unpredictability…

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Quantum Traders Chase Market Rhythm Without Real World Payoff

A team spanning Neuro Industry Research in Cambridge, Massachusetts, The University of Alabama, and the Industrial Technology Research Institute in Hsinchu, Taiwan, walked into the vast, noisy arena of financial markets with a provocative question: could quantum computing amplify the decision-making brains behind money, stability, and risk? The study, led by Chi-Sheng Chen with coauthors…

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AI Doctors: Can a Robot Replace Your Oncologist?

The relentless march of artificial intelligence continues to reshape industries, and healthcare is no exception. A new Agentic AI framework, developed by researchers at the University of Illinois at Urbana-Champaign, the University of Illinois at Chicago, Missouri S&T, and Nimblemind.ai, led by Soorya Ram Shimgekar, Shayan Vassef, Abhay Goyal, Navin Kumar, and Koustuv Saha, promises…

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Can AI Predict the Universe’s Structure?

Peering into the Cosmos with Bayesian Deep Gaussian Processes Cosmology, the study of the universe’s origin and evolution, relies heavily on computer simulations. These simulations, while powerful, are computationally expensive. Imagine needing to run a simulation for every possible configuration of the universe’s fundamental parameters to fully understand its structure. That’s simply not feasible. This…

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Lego, Phones, and the Secret Language of Waves

Forget expensive labs and complicated simulations. Researchers at University College Dublin, led by Lennon Ó Náraigh, Nicolas Farault, and Nicola Young, have shown that you can unlock the mysteries of water waves using surprisingly simple tools: a tabletop flume built from Lego, a smartphone, and some clever software. The Unexpected Elegance of Simplicity The study,…

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AI’s Secret Weapon: Predicting Semiconductor Defects

The Perils of Imperfect Semiconductors Solar cells, LEDs, transistors—the backbone of our modern technological world relies on semiconductors, materials that delicately balance conductivity. But even slight imperfections, called defects, can dramatically impact their performance. These defects act like tiny speed bumps on an electron highway, creating bottlenecks that reduce energy efficiency. For decades, researchers have…

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AI’s New Eyes: Seeing the Unlikely

Imagine a world where predicting rare, impactful events isn’t a matter of sheer luck, but of carefully crafted mathematical insight. That’s the promise of a groundbreaking new study from Utah State University, which introduces two novel heuristics for understanding rare events in complex systems. These aren’t just theoretical tweaks; they could dramatically alter how we…

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