If either Hodge or BSD are proven to be *true* by AI (thereby likely using deep mathematical techniques), then this would update my timelines. This may also mean the Riemann Hypothesis is not far off. But if it's a behemoth counterexample, then capabilities are where I'd expect.
Prove me wrong:
The race between cheap models is even more interesting than between SOTA.
Deepseek V4.1 Flash, GLM 5.3 Flash, GPT 5.6 Luna, Muse Spark 1.3...
No, not you Gemini.
Last week we published a factorization of RSA-260.
Today, we’re sharing the methodology of how Devin and a Cognition researcher built the world’s fastest GPU optimized lattice siever, to make factoring numbers 10x cheaper than the previous state of the art:
https://t.co/bzmDzTgbMA
🚀 Introducing DeepSeek-V4.1-Flash: smarter, faster, more efficient.
🔹 Introducing the smallest model in our new architecture family, with native visual understanding.
🔹 Designed for greater capability, faster inference, higher throughput, and scaling to larger models.
1/6
People around me have such an interesting and intelligent way of thinking and curiosity about physics, I hope my thoughts are formed in a similar way as well.
😯 Did you know that a 10-year-old girl looking at space photographs on a home computer made a discovery that amazed the entire world? 😱✨
Kathryn Aurora Gray, a young girl from Canada, had been fascinated by astronomy from an early age. One day, while examining space photographs taken through a telescope by her father, **Paul Gray**, she suddenly noticed something unusual.
A new point of light had appeared inside the galaxy **UGC 3378**—something that wasn't visible in older photographs! 🌌
Astronomers around the world later examined the discovery and confirmed that it was a **supernova**, known as **SN 2010lt**—the explosive final stage in the life of a massive star located more than 240 million light-years from Earth.
With this incredible discovery, 10-year-old **Kathryn Gray** became the **youngest person in the world to discover a supernova**, earning a place in the history of astronomy. 🌠🔭
Every Indian should know this one, and here is why.
Five students from IIT Madras just got a patent granted by the toughest patent office in the world. :)
Now here is what they actually invented.
See, satellites look at Earth two ways.
The first is a normal camera, just a very good one.
Sharp, full colour, easy to read. The catch is it needs sunlight and clear sky. Clouds block it. Night blocks it. Smoke blocks it.
Over India during the monsoon, it is basically blind for months.
The second is radar.
It fires radio waves at the ground and reads the echo. Radio waves pass straight through cloud, smoke and darkness, so radar works at 3 am in heavy rain.
But the picture it gives you is grey and strange. It shows shape and texture, not colour. Reading it takes a lot of training.
So one gives you a beautiful image you often cannot capture. The other gives you an image you can always capture but struggle to understand.
The fix obviously is to combine them.
People tried for years and it did not work well, for a simple reason.
The two images came from different satellites. The camera photographed a field at 10 in the morning from one angle. The radar satellite scanned it at 4 in the afternoon from a different angle. Lay one over the other and nothing lines up.
Different time, different position, different view. You are not looking at the same moment.
GalaxEye's patent covers a way to put both sensors on one satellite and make them fire together. Same instant, same patch of ground, same angle.
The invention is the architecture that keeps the two locked in.
The same technology was already patented in India. Now the US has recognised it too. The company says this makes it the first Indian startup to hold a US patent for satellite imaging technology.
Obviously there are plenty of applications for that technology like defence radars to see through camouflage and tree cover.
In farming, the technology will allow us to watch crops during monsoon, exactly when normal satellites cannot see.
Interestingly, the idea came from a real problem. Suyash Singh was assessing wildfire damage in California using satellite data.
The camera images were useless because of the smoke. The radar images were available but were hard to interpret.
Now you understand why the solution is simply genius. :)
GalaxEye was founded in 2021 by five IIT Madras alumni. Suyash Singh, Denil Chawda, Kishan Thakkar, Pranit Mehta and Rakshit Bhatt.
They met while building Team Avishkar Hyperloop.
In 2019 that team was the only Asian entry to reach the finals of SpaceX's global hyperloop competition. They built India's first self propelled hyperloop pod.
Then they decided to build satellites instead. Incubated at IIT Madras, based in Bengaluru, backed by Mela Ventures, Speciale Invest, ideaForge and Rainmatter.
On 3 May this year they launched Mission Drishti on a Falcon 9. The world's first OptoSAR satellite. At around 190 kg it was India's largest privately built Earth observation satellite at the time.
So, five people who were students seven years ago had an original idea, patented it in India, built the hardware, flew it on a Falcon 9 and then got the invention recognised by the US patent office.
Amazing! 🇮🇳
Anthropic’s Economics team is sharing a new model of how AI might affect economic growth, jobs, wages, and more by 2030.
Explore the scenarios, tell us what you think will happen, and see how your answers compare to more than 10,000 Americans. https://t.co/AvQlEZNxR0
Perplexity Search inside Hermes. Perplexity's index currently includes 450B+ high-quality URLs. Rapidly advancing to a trillion by EOY with high-quality snippets.
Polina Perstneva is a young mathematician who moved from Saint Petersburg to Paris and then to École Polytechnique.
She first studied delicate questions in Fourier analysis and then turned to the geometry of fractal domains. Her constructions show that a carefully chosen elliptic operator can make its measure sit exactly on a Koch snowflake, even though ordinary harmonic measure refuses to do so.
She thereby opened a new window onto the subtle dialogue between the shape of a boundary and the behaviour of solutions to elliptic equations. Each of her results is a reminder that the most irregular sets can still admit surprisingly regular analysis.
This is insane. A Millennium Problem, Lean-formalized, produced by a swarm of agents in days. Fluid dynamics just entered a new era.
Finite-time blow-up for 3D Navier–Stokes, with a Lean certificate. The inward-spiraling, spaghetti-stretching vortex is such a clean picture. If this holds, 2026 is the year AI started closing Clay problems.
We’re sharing a solution to the Navier-Stokes Millennium Prize Problem, one of the deepest problems at the frontier of mathematics.
The proof was produced by a group of agents, using an OpenAI next-generation model significantly more capable than GPT-6 Astra.
The problem concerns whether the description of smooth three-dimensional fluid motion modeled by the Navier-Stokes equations can break down. It has remained unresolved for roughly 90 years.
Sarvam will be at Global Fintech Fest 2026.
Across the week, we’ll have live demos and conversations on building AI that financial institutions can own, control and keep improving.
Venue: Booth E8-E15, Pavilion Hall
Dates: 8-11 September 2026
Here’s what we have lined up at GFF.