The most influential mathematician of his generation stands in a German lecture hall and explains a foundation he is rebuilding from scratch. Almost nobody watches it.
This is Peter Scholze at Bielefeld University, November 2025, opening lecture of a new public series called Ars Mathematica.
Scholze became a full professor at 24 and won the Fields Medal at 30. His work on perfectoid spaces reorganized entire areas of arithmetic geometry inside a decade.
Condensed mathematics is his attempt to fix something deeper: the way analysis and algebra refuse to sit together properly. He is proposing new foundations for how mathematical objects carry topology.
Watch how he pitches it to a general audience. No prerequisites assumed, no dilution, a working mathematician showing why abstraction opens rooms you could not otherwise enter.
A researcher I know rewatched the middle section twice and said it was the first time condensed mathematics felt like an idea rather than a rumour.
Free on YouTube from a university channel, subtitles on.
Some people prove theorems. He is replacing the floor.
Albert Einstein and David Hilbert independently pursued General Relativity.
Einstein relied on physical intuition and thought experiments, while Hilbert used rigorous mathematics and advanced geometry.
Einstein reached the final theory first, and Hilbert accepted it graciously.
Hilbert’s efforts also led to Emmy Noether’s work, producing Noether’s Theorem—one of the deepest foundations of modern physics.
Iran is often reduced to headlines about politics.
But behind them stands one of the oldest continuous civilizations on Earth, where architecture, poetry, and faith shaped beauty for over 2,500 years.
Here’s a journey through Iran’s architectural splendor. 🧵
After 144 years of construction, the Sagrada Família in Barcelona has reached its full height with the placement of the final piece atop its central tower.
📹davidcantor
this isn’t just about math; it’s about method;
> this book examines the structures, discipline, and cognitive habits behind one of the world’s strongest math education systems
She made history in mathematics, but math wasn’t even her first love.
Born in Iran, Maryam Mirzakhani actually wanted to be a writer.
But when she discovered the world of mathematical problem-solving, she never looked back.
She won back-to-back gold medals in the International Mathematical Olympiad, making history as the first Iranian woman to do so.
Her work in geometry and topology reshaped how we understand curved spaces, unlocking secrets of the mathematical universe.
And in 2014, she became the first woman ever to win the Fields Medal, the highest honor in mathematics.
A true pioneer, gone too soon at just 40, but her legacy inspires generations of women in STEM.
Because of the Falklands, South Georgia and the British Antarctic Territories, the United Kingdom is responsible for 25% of the world's penguins. This is evident in their behaviour.
To President Donald Trump Jr.,
This video was sent to me by the girl’s mother, who asked me to share it on my X profile.
It was created by her 15-year-old daughter from Greenland 🇬🇱 as a message to you.
"The US has never had a rival like China: its equal or more in technology, trade and military power."
Bronwen Maddox on the challenge posed to the US by 🇨🇳's rise to power.
Watch in full➡️https://t.co/1bR7YHwy8n
To celebrate my appointment as the Ralph Miliband Professor of Politics & Philosophy at LSE Law & the School of Public Policy, I'll give an inaugural lecture entitled “Are Revolutions Justified?”. Registration required - look forward to seeing you! ❤️
https://t.co/mObhgpH0NB
"The US has never had a rival like China: its equal or more in technology, trade and military power."
Bronwen Maddox on the challenge posed to the US by 🇨🇳's rise to power.
Watch in full➡️https://t.co/1bR7YHw0iP
I thought non-economists might be interested in a class from the first week of our Masters, where we introduce neoclassical and heterodox notions of studying the economy - Economics and the Scientific Method.
https://t.co/HykXlin8xH