Physicist | Postdoc at MPI for Mathematics in Sciences, AI for Mathematics
Leipzig, Germany
Joined May 2019
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It feels like inside Anna Karenina, a Raskolnikov is being shaped, confronting the abyss. Reflecting on @ChrisWillx’s recent podcast, “the secret of living a happy life is to live a principled life”, I wonder whether at all and how how come have they (Anna and Rodya) diverged from their principles.
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Jeesus, confinement problem is (partly) fallen. Wow!
This time I am just accepting it and am actually curious to see the proof for personal reasons. Yag-Mills mass gap problem was the reason I fell in love with particle physics.
We are announcing three new discoveries in mathematics, computer science, and physics about harmonic analysis, complexity theory, and quantum field theory.
openai.com/index/building-sc…
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Merlin’s beard, this is insane. If this scales, we might have a drastic change in out social contracts
Last month, we demonstrated high-rate alchemy: turning mercury into real, stable gold, beating CERN’s record by a factor of 10.
Last week, we enriched isotopes in the world’s most powerful plasma centrifuge, beating the Soviet record that stood for 40 years.
Now, we’re building a fusion reactor in San Francisco to achieve record power density.
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Min 40:40, it is very moving how Maxim foresaw the current calamity. The laughter by the others has a black humour to it now.
youtu.be/eNgUQlpc1m0?is=EagJ…
I’m happy to share our new paper “When Finite Free Curves Split,” a bridge between real algebraic geometry and finite free information theory:
arxiv.org/abs/2609.10367
(The name is inspired by Rick and Morty "Central Finite Curve")
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Wow….If one “pays” the computation complexity price of the of the brain, substrate/medium and the interaction between the brain and the medium, doesn’t it mean that one is mapping the consciousness? I wonder what the fly thinks it is doing.
I’ve successfully run the full retained MaleCNS v1.0 fruit fly connectome, all 166,700 neurons, inside Minecraft, with its simulated neural activity driving a fly’s movement.
V1 Currently in development. Built with the help of GPT-6 Astra.
Props to the @OpenAI team and @thsottiaux for this release. Code and mod coming soon!
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I am very happy to see our collaborative work, Light Antinuclei Coalescence: Femtoscopic Constraints via Neural-Flow Surrogates, finally out:
arxiv.org/abs/2607.21689v1
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1/ This project began during my time at the ORIGINS Data Science Lab, led by @lukasheinrich_ , where we collaborated with Laura Fabbietti’s group on an important computational problem in light-antinuclei production.
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واقعا صحبت کردن با جامعه Abelian Varieties آدمو فروتن میکنه. تو یه ورکشاپ راجع به Moduli Spaces, یکی که کاندید فیلدز در آینده احتمالا باشه (از نظر سنی) داشت کارشو لکچر میداد، زمانی که فکر میکردم دیگه کارش از این خفن تر و پیچیده تر نمیتونه باشه، یهو وصلش کرد به واریته های شیمورا و من دیگه رفتم….
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WTH
Pierre Lochak, Hiroaki Nakamura, Leila Schneps: The Grothendieck-Teichm\"uller group $\widehat{GT}$ acts on the genus $g$ mapping class group with $0$ or $1$ marked point arxiv.org/abs/2602.12462 arxiv.org/pdf/2602.12462 arxiv.org/html/2602.12462
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Here, we not surrogating the simulation, no!
We are pushing the simulation towards extremal regions of the moduli of solutions via an on-policy reward-guided fine-tuning with self-distillation.
1/ Are frontier LLMs the only path to AI math breakthroughs? I think not!
We introduce FlowBoost, A lightweight RL+Flow-Matching framework that discovers new extremal geometric structures, beating AlphaEvolve with 100–1000× less compute with zero-shot geometry-aware & reward-guided generation. 🚀
arXiv: arxiv.org/pdf/2601.18005
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1/ Are frontier LLMs the only path to AI math breakthroughs? I think not!
We introduce FlowBoost, A lightweight RL+Flow-Matching framework that discovers new extremal geometric structures, beating AlphaEvolve with 100–1000× less compute with zero-shot geometry-aware & reward-guided generation. 🚀
arXiv: arxiv.org/pdf/2601.18005
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This work is inspired by PatternBoost by @f_charton at @axiommathai
1/ Are frontier LLMs the only path to AI math breakthroughs? I think not!
We introduce FlowBoost, A lightweight RL+Flow-Matching framework that discovers new extremal geometric structures, beating AlphaEvolve with 100–1000× less compute with zero-shot geometry-aware & reward-guided generation. 🚀
arXiv: arxiv.org/pdf/2601.18005
1/ Are frontier LLMs the only path to AI math breakthroughs? I think not!
We introduce FlowBoost, A lightweight RL+Flow-Matching framework that discovers new extremal geometric structures, beating AlphaEvolve with 100–1000× less compute with zero-shot geometry-aware & reward-guided generation. 🚀
arXiv: arxiv.org/pdf/2601.18005
2/ Extremal combinatorial geometry problems (packings, Heilbronn, discrepancy,...) are rugged continuous landscapes, perfect for modern generative models with strong inductive biases. We ditch LLM code evolution for direct continuous generation + closed-loop optimization.
We call the new paradigm, "de novo Mathematical Structure Design."
This work on Flow-based extremal and rare mathematical structure discovery is one of my favourite and coolest pieces of research that I have done in my life!
I will write about it here tomorrow.
erczi, et al.: Flow-based Extremal Mathematical Structure Discovery arxiv.org/abs/2601.18005
Oliver Knill: Remarks about Connection and Dirac matrices arxiv.org/abs/2601.18071
en.wikipedia.org/wiki/Mathem…
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I just had to discuss and convince my general doctor about Medicine 3.0 and benefits of monitoring, and had to introduce what longevity studies are.
I could not convince her to write the prescription for the blood tests.
@PeterAttiaMD what is a feasible solution in Germany?
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