This award belongs in so many ways to my wonderful collaborators and students. I am deeply grateful to all of them. And heartfelt thanks to the Dean of @FME_UPC for travelling all the way to Vienna to share this unforgettable moment with me.
This award belongs in so many ways to my wonderful collaborators and students. I am deeply grateful to all of them. And heartfelt thanks to the Dean of @FME_UPC for travelling all the way to Vienna to share this unforgettable moment with me.
El 20 feb 2026: "From Geometric Ideas to Computational Frontiers", workshop conjunto AQUACELL– Wolfram Institute sobre geometría, computación y fenómenos complejos, en @MatematicasUCM. Cierre con coloquio online de Stephen Wolfram (18:00). https://t.co/WWbugR74jz
🔹 From Geometric Ideas to Computational Frontiers
📍 Feb 20, Facultad Mat, UCM
A joint venture with @WolframResearch launching a formal collaboration at the interface of geometry, dynamics & computation
👉 Info: https://t.co/66o65CFjAe @LegnaMath@FundacionBBVA@AgEInves
Not chasing flashy Millennium Prize claims—this is the quieter work of 'mathematical monks' building verified foundations.
Working towards a fully machine-checked Lean formalization of @evamirandag and team's results on computational universality in dynamical systems: billiards, Euler flows, and Navier-Stokes as universal computers.
Zero sorries in the mechanized core. 🙏
https://t.co/XFrgiNxNcL
cc @Isaacramr__@LegnaMath@_ICMAT
🎱 A ball.
🎱 A table.
🎱 A computation.
A sufficiently weird billiard table is Turing complete.
🕳️ The 8-ball hits the halting wall. Game over.
Our article with @Isaacramr__ is highlighted as Paper of the Month by @elisecutts here
https://t.co/shz0bpN6vg @la_UPC@CRMatematica
What’s next? Billiards are toy models for near-collision dynamics in the 3-body problem. If billiards can compute, undecidability should be hiding in celestial mechanics. In 2026 we plan to address this for the 3-body problem with @LegnaMath, D. Peralta #wisemen@stephen_wolfram
What’s next? Billiards are toy models for near-collision dynamics in the 3-body problem. If billiards can compute, undecidability should be hiding in celestial mechanics. In 2026, we will address this for the 3-body problem with @LegnaMath and Daniel Peralta. 🚀 #reyesmagos
This Christmas 🎄 the balls left the tree, bounced across a billiard table 🎱, and—inevitably—started computing.
With @Isaacramr__ Isaac Ramos, we show that billiard dynamics is undecidable: https://t.co/gcZYnQQmod
In the computational universe of Cris Moore and @stephen_wolfram
Classical billiards can compute.
With @evamirandag, we show that 2D billiards are Turing complete: even simple systems can have undecidable trajectories.
Determinism ≠ predictability.
So if you lose at pool, you can blame computability theory 🎱🤯
https://t.co/Fb2HSW3qih
Classical billiards can compute.
With @Isaacramr__ , we show that 2D billiard systems are Turing complete, implying the existence of undecidable trajectories in physically natural models from hard-sphere gases to celestial mechanics.
Determinism ≠ predictability. 🎱🧠@ETH_en
🚀 PhD Opportunity: Geometry of Moduli Spaces and Quantization
Quantum mechanics has reshaped modern geometry from moduli spaces to algebraic structures. This PhD will explore Poisson aspects of moduli spaces and their quantization. More information: https://t.co/V5vDvwU1gi
@evamirandag@stephen_wolfram@WolframResearch I’m really grateful for your words, Eva. Thank you for giving me the opportunity to understand and simulate TKFTs in such an amazing environment. I had a lot of fun exploring this incredible and promising new computational framework!
So proud of our student Isaac Ramos for bringing our Topological Kleene Field Theory (TFKT) to life at the Wolfram Summer Camp, curated by @stephen_wolfram & @WolframResearch. A graceful fusion of logic, geometry & computation.
Bravo, Isaac!
🔗 https://t.co/6G9VypTekz
#TFKT
Five years ago, if you’d told me Terence Tao would visit Barcelona and give a colloquium, I wouldn’t have believed it. But here we are… Incredible talk with ideas way beyond the current state of the art! The whole community showed up! Thanks everyone!