Lightning strikes and the flash reaches you almost instantly, but the thunder takes longer. At @unituebingen.bsky.social, mathematicians study the quantum equivalent: how fast information can travel through an interacting quantum system. #ICM2026 https://youtu.be/8Uuef69MoNM

The Mathematics of Quantum Propagation | University of Tübingen

Physics has repeatedly transformed mathematics by creating entirely new scientific questions. From fluid dynamics to gen

youtu.be

Excited to see our research featured on ICMtv! How fast does information travel in a quantum many-body system? We're building mathematical tools to control the quantum "speed of sound". Watch the full YouTube video to learn more about our work: www.youtube.com/watch?v=8Uue... #MathematicalPhysics

The Mathematics of Quantum Propagation | University of Tübingen

YouTube video by WebsEdgeScience

youtube.com

Chinmay Nirkhe, Mark Zhandry, John Bostanci, and Jonas Haferkamp blended ideas from cryptography, statistical physics, and other far-flung fields to show that quantum proofs are more powerful than classical ones. www.quantamagazine.org/researchers-...

Sharing a postdoc opening for a Hooke/Titchmarsh Research Fellowship in Complex Systems at Oxford. Independent position with possibility to collaborate, e.g., with Random Matrix Theory group around Jon Keating & Joscha Henheik For details, see: www.maths.ox.ac.uk/node/81487 Deadline: June 24

OpenAI's claim that this is a central conjecture in discrete geometry is not an exaggeration. This will I think be looked back on as the first time that AI solved a major mathematics problem (defined as a problem that all experts in some subfield had thought about). openai.com/index/model-...

An OpenAI model has disproved a central conjecture in discrete geometry

An OpenAI model solved the 80-year-old unit distance problem, disproving a major conjecture in discrete geometry and marking a milestone in AI-driven mathematics.

openai.com

If you're looking for an M.Sc. program in mathematical quantum physics and general relativity, consider the Tübingen International M.Sc. Program in #MathematicalPhysics www.math.uni-tuebingen.de/en/mmp Open for applications

Master in Mathematical Physics

math.uni-tuebingen.de

Congratulations to ERG grantee Frank Merle on winning the 2026 Breakthrough Prize in Mathematics for his work on nonlinear evolution equations & their role in understanding complex physical systems. 🔗 breakthroughprize.org/News/98

Breakthrough Prize – Breakthrough Prize Announces 2026 Laureates

breakthroughprize.org

CY Cergy Paris Université@cy-univ.bsky.social · 4mo ago

🏆 Frank Merle, professeur à CY et à l’IHES, reçoit le Breakthrough Prize in Mathematics 2026, l’une des distinctions scientifiques les plus prestigieuses au monde. Une reconnaissance internationale majeure pour ses travaux en mathématiques. 🔗 www.cyu.fr/actualites/p... #CY #breakthroughprize

Forschung im Überschneidungsbereich von #Analysis, #Geometrie und #Physik: Professor Gerhard Huisken ist heute für herausragende Verdienste um die #Mathematik mit dem #Bundesverdienstkreuz geehrt worden. 👏 uni-tuebingen.de/universitaet... @mwk-bw.bsky.social

The 2026 Leroy P. Steele Prize for Seminal Contribution to Research is awarded to László Erdős, Benjamin Schlein, and Horng-Tzer Yau for their series of three papers. Read more. Link in comments.

A new paper with Bogdan Georgiev, Javier Gomez-Serrano, and Adam Zsolt Wagner: "Mathematical exploration and discovery at scale" arxiv.org/abs/2511.02864. Further discussion is at terrytao.wordpress.com/2025/11/05/m...

Mathematical exploration and discovery at scale

AlphaEvolve is a generic evolutionary coding agent that combines the generative capabilities of LLMs with automated evaluation in an iterative evolutionary framework that proposes, tests, and refines ...

arxiv.org

Are the dynamics of disordered quantum many-body systems easier to simulate? --> Yes, because entanglement spreads slowly for a non-perturbatively long time (a.k.a. "prethermal MBL"). This is true in any dimension. arxiv.org/pdf/2510.11831 Thanks to my collaborators Ben McDonough and Andy Lucas!

The future is here: a formalization in Lean of the generalized quantum Stein's lemma! Amazing that this can be done. arxiv.org/abs/2510.08672

A Formalization of the Generalized Quantum Stein's Lemma in Lean

The Generalized Quantum Stein's Lemma is a theorem in quantum hypothesis testing that provides an operational meaning to the relative entropy within the context of quantum resource theories. Its origi...

arxiv.org

New preprint on Hamiltonian Learning of Coulomb potentials and smooth potentials in continuous space arxiv.org/abs/2510.08471 Thanks to my collaborators, @hippoquantus.bsky.social , Tim Möbus, and Oliver Siebert!

Learning Coulomb Potentials and Beyond with Fermions in Continuous Space

We present a modular algorithm for learning external potentials in continuous-space free-fermion models including Coulomb potentials in any dimension. Compared to the lattice-based approaches, the con...

arxiv.org

New preprint with @nickrhj.bsky.social arxiv.org/pdf/2509.22438 Is a typical translation-invariant Hamiltonian gapped or gapless? ---> We prove that for random rank-1 interactions on any bounded-degree graph, the Hamiltonian is *gapped* with high probability as local dimension grows.

Horng-Tzer Yau has spent decades studying the interplay of randomness and order in matrices. In 2008, Jun Yin, a former physicist, joined Yau’s group. In spring of 2024, the pair made the biggest advance on the problem since the 1980s. www.quantamagazine.org/new-physics-...

Open position in Tübingen! Assistant Professor of Mathematical Quantum Theory (non tenure-track, up to 6 years) Deadline is September 30, 2025. More info including how to apply: www.mathjobs.org/jobs/list/26... The last person to hold this position was the formidable @angelacapel.bsky.social

After 3 1/2 years of work my course on quantum computing is finally finished — the "Director's Cut" of Understanding Quantum Information and Computation is now available. arxiv.org/abs/2507.11536

Understanding Quantum Information and Computation

This is a course on the theory of quantum computing. It consists of 16 lessons, each with a video and written component, covering the basics of quantum information, quantum algorithms (including query...

arxiv.org

Colored droplets in corn syrup seemingly blended together can be returned to their original state by reversing the direction of mixing, a form of laminar flow called "Stokes flow". Credit: UNM Physics & Astronomy

My latest for @nytimes.com -- please repost so your followers can see this for free. www.nytimes.com/interactive/...

How a Puzzle About Fractions Got Brain Scans Rolling (Gift Article)

A story of bowling pins, patterns and medical miracles.

nytimes.com

This year, the fall meeting of the German Physical Society celebrates 100 years of quantum theory quantum25.dpg-tagungen.de Göttingen, September 8-12 The deadline for abstract submission is this Saturday, May 31.

2. DPG-Herbsttagung: 100 Jahre Quantenmechanik

quantum25.dpg-tagungen.de

New preprint with Carla Rubiliani and Jingxuan Zhang "On the quantum dynamics of long-ranged Bose-Hubbard Hamiltonians" arxiv.org/abs/2505.01786 We prove that the speed of boson propagation is bounded under the optimal long-range condition (for power law exponent \alpha>d+1)

On the quantum dynamics of long-ranged Bose-Hubbard Hamiltonians

We study the quantum dynamics generated by Bose-Hubbard Hamiltonians with long-ranged (power law) terms. We prove two ballistic propagation bounds for suitable initial states: (i) A bound on all momen...

arxiv.org

Great explanation of the basics of quantum computing and Grover's algorithm by 3Blue1Brown. He also addresses the common misconception of "exponential parallelism". www.youtube.com/watch?v=RQWp...

But what is quantum computing? (Grover's Algorithm)

YouTube video by 3Blue1Brown

youtube.com

Until recently, we thought that transporting a macroscopic cloud of particles a distance r in time t is suppressed by the usual LR-type light cone exp(vt-r) Turns out, the decay rate is proportional to the number of transported particles N exp(N(vt-r)) arxiv.org/abs/2503.19788

If you're an undergraduate student interested in the mathematics of quantum physics and general relativity, consider the Tübingen International M.Sc. Program in #MathematicalPhysics www.math.uni-tuebingen.de/en/mmp Opens for applications today

Master in Mathematical Physics

math.uni-tuebingen.de

I am happy to announce that the Kakeya set conjecture, one of the most sought after open problems in geometric measure theory, has now been proven (in three dimensions) by Hong Wang and Joshua Zahl! arxiv.org/abs/2502.17655 I discuss some ideas of the proof at terrytao.wordpress.com/2025/02/25/t...

Volume estimates for unions of convex sets, and the Kakeya set conjecture in three dimensions

We study sets of $δ$ tubes in $\mathbb{R}^3$, with the property that not too many tubes can be contained inside a common convex set $V$. We show that the union of tubes from such a set must have almos...

arxiv.org

Had an amazing week at our Oberwolfach Mini-Workshop "New Directions in Correlated Quantum Systems" Huge thanks to our enthusiastic participants from both mathematics & physics!

ArXiv quant-ph needs to be split up! Paul Ginsparg lists Daniel Gottesman's proposed subcategories at his @aspenphysics.bsky.social talk. He is looking for feedback: please reply, dm, or email.

My colleague Mitia Duerinckx in Brussels is accepting applications for an open postdoc position in PDE & mathematical physics It's funded by Mitia's ERC grant "PASTIS: Scaling limits of particle systems and microstructural disorder" For more info, see mitia.duerinckx.web.ulb.be/postdoc-posi....

Uhlmann's theorem states that the fidelity of two (mixed) states can be expressed in terms of their purifications (where the fidelity simplifies). In arxiv.org/abs/2502.01749 we generalize Uhlmann's theorem to Rényi relative entropies.

Uhlmann's theorem for relative entropies

Uhlmann's theorem states that, for any two quantum states $ρ_{AB}$ and $σ_A$, there exists an extension $σ_{AB}$ of $σ_A$ such that the fidelity between $ρ_{AB}$ and $σ_{AB}$ equals the fidelity betwe...

arxiv.org

To reach some consensus about the prospects of near-term (late nisq and early fault tolerant) quantum computing, we had a 3-day discussion event (“Quantum Now”) in Lapland with both optimists and pessimists. This continued at SeeQA 2024 in Oxford. See our conclusions here arxiv.org/abs/2501.05694

Myths around quantum computation before full fault tolerance: What no-go theorems rule out and what they don't

In this perspective article, we revisit and critically evaluate prevailing viewpoints on the capabilities and limitations of near-term quantum computing and its potential transition toward fully fault...

arxiv.org