why would I ever again share a well formulated open research question in an open problems session of a conference?
Alexander Stottmeister
@stotti-alex.bsky.social
I am a researcher in mathematics and physics working on complex quantum systems and quantum field theory. Recently, I am also interested in earth observation.
"We're all worried," as what it means to do research (in my field, Theoretical CS) seems to be shifting, and shifting fast. What to do? Senior researchers must lead by example, knowing that not everything will pan out. What I'm suggesting below may not work everywhere, but here's my own advice: 1/
Some initial thoughts, and a complicated mix of feelings. Wow. I mean, Erdos problems are cool (I genuinely mean that), I didn't know about the Jacobian conjecture before it got disproved. But this newest batch from OpenAI hits home in a way the previous announcements did not.
the new reality of QIP: github.com/tobiasosborn...
GitHub - tobiasosborne/QIP-submission: A 100% LLM-generated QIP submission, produced overnight from one prompt. A case study in what frontier agentic models can do — and a warning. Results NOT verifie...
A 100% LLM-generated QIP submission, produced overnight from one prompt. A case study in what frontier agentic models can do — and a warning. Results NOT verified. - tobiasosborne/QIP-submission
github.com
Let's have a community discussion about the impact of LLMs on quantum information research, and how to react to it as a research community! 👩🔬⚛️🤖 🏛️ Head over to the IAQI forum 👇 discuss.iaqi.org/t/quantum-in... 🦋 Please share widely!
Quantum Information Processing research in the age of AI
Dear colleagues, Over the past weeks there have been more and more results in which AI models played a crucial role, not only in mathematics and theoretical computer science, but right at the heart o...
discuss.iaqi.org
The point isn’t to write an essay (or solve the problem sheet, etc). It’s to learn. It’s a foil against which the student can struggle and, in so doing, think. I’ve not seen this video by Burnham, but the wider sentiment — “essays are pointless because AI can write them” — is depressingly common.
Full of despair today. Massive lay offs in social sciences and humanities across the country, Burnham puts out a video saying 'AI can write an essay', and my university is busy integrating co-pilot into all staff and student computers. We are being told we're defunct and there's no resistance.
The last point is actually very troubling: there is a huge inequality in the access to frontier models right now. Some people are simply not aware of this AI revolution, some cannot afford paying 200$ per month, especially in less developed countries (and even in developed!). 5/n
I tend to agree with Tobias. It will be interesting to see near-term changes in the valuation of certain aspects of research. An important problem I see is who can afford access to frontier models and how the scientific community should address this. tjoresearchnotes.wordpress.com/2026/07/28/p...
Proof inflation
I have been thinking a lot about how social dynamics are going to shift in the new era of cognitive abundance. I don’t pretend to have any kind of crystal ball, but there are numerous histori…
tjoresearchnotes.wordpress.com
While the Fields Medal celebrates the under-40s, the mathematician Joan Birman has, at the age of 99, solved a major open problem in representations of the Braid groups, a topic she has worked on for more than 60 years.
We're pleased to announce the key dates for QIP 2027, as follows (refer to the website qipconference.org/2027/ for up-to-date information). We look forward to your participation!
I think this document does a nice job of articulating and balancing the many concerns people have about AI, the potential benefits, the spirit of mathematical research, and the reality of the current situation. I signed it.
Leiden Declaration on Artificial Intelligence and Mathematics
This declaration calls for action to address the challenges posed by the use of artificial intelligence within mathematics research.
leidendeclaration.ai
The EXIF data for the image is all here images.nasa.gov/details/art0...
NASA Image and Video Library
NASA Image and Video Library, serving up consolidated imagery and videos in one searchable location. Users can download content in multiple sizes and resolutions and see the metadata associated with images, including EXIF/camera data on many images.
images.nasa.gov
Happy to see our paper Uniqueness of Purifications Is Equivalent to Haag Duality with @arrr.de and @stotti-alex.bsky.social published in PRL! 🥳 doi.org/10.1103/d7nm...
Uniqueness of Purifications Is Equivalent to Haag Duality
The uniqueness of purifications of quantum states on a system $A$ up to local unitary transformations on a purifying system $B$ is central to quantum information theory. We show that, if the two syste...
doi.org
The rarest of sights - a big glossy journal publishing negative replications! Yes, we had to bundle 4 replications into one article AND we had to wait 2 (!!) years in peer review, but here we are: www.science.org/doi/10.1126/...
Data sharing helps avoid “smoking gun” claims of topological milestones
Manipulating the topology of electronic bands can realize new states of matter, with possible implications for information technology. A central question is how to tell whether a topological regime ha...
science.org
The largest fundamental science agency in Europe will save €1.4 million annually by breaking free from Clavariate Analytics' huge databases of references and citations. "We have worked for free to lock ourselves collectively into a paid system", one head of the CNRS explains - but no more! 🎉
From January 1st 2026, the CNRS will cut access to one of the largest commercial bibliometric databases, Clarivate Analytics' Web of Science, along with the Core Collection and Journal Citation Reports.
Happy to see that our paper on pure state entanglement and von Neumann algebras with @lvanluijk.bsky.social, @stotti-alex.bsky.social and Reinhard Werner is finally out in CMP 🥳 link.springer.com/article/10.1...
Pure State Entanglement and von Neumann Algebras - Communications in Mathematical Physics
We develop the theory of local operations and classical communication (LOCC) for bipartite quantum systems represented by commuting von Neumann algebras. Our central result is the extension of Nielsen...
link.springer.com
I made a sign for the lab with our informal lab motto, inspired by this convo between @itaiyanai.bsky.social and Martin Lercher: nightscience.buzzsprout.com/1744020/epis.... A good reminder that talking is among the best forms of thinking!
Sie ist da: Die 1. Ausgabe meines #ArbeitInDerWiss Newsletters bei Steady, wo der Newsletter ab jetzt 1 neues Zuhause hat! 🤩 & dann auch noch 1 gemeinsamer Text mit @drkeichhorn.bsky.social! 🥰 Es geht um Kürzungen an Hochschulen & warum es nun Solidarität mit Geistes- & Sozialwissenschaften braucht.
Ins eigene Fleisch: Warum Kürzungen an Hochschulen allen schaden
von Amrei Bahr und Kristin Eichhorn
steady.page
Like embezzlement of entanglement but not von Neumann algebras? Check out arxiv.org/abs/2509.15749 where we show explicitly that generic Gaussian fermionic states provide universal embezzling families. Plus: A novel bound relating trace distance of Gaussian states to their covariance matrices.
Gaussian fermionic embezzlement of entanglement
Embezzlement of entanglement allows to extract arbitrary entangled states from a suitable embezzling state using only local operations while perturbing the resource state arbitrarily little. A natural...
arxiv.org
New paper on entanglement in infinite quantum systems with @stotti-alex.bsky.social @arrr.de 🎉: arxiv.org/abs/2509.12911 The paper investigates bipartitions of quantum systems with infinitely many degrees of freedom. Small thread below 👇
Uniqueness of purifications is equivalent to Haag duality
The uniqueness of purifications of quantum states on a system $A$ up to local unitary transformations on a purifying system $B$ is central to quantum information theory. We show that, if the two syste...
arxiv.org
🥳I am very happy to have been awarded an ERC Starting Grant that I will use to start my own group and explore the large-scale entanglement properties of complex quantum systems. This would not have been possible without my fantastic collaborators and supervisors. A big "thank you" to all of you! 🙏
📣 The ERC Starting Grant call results are out! Find out which early-career researchers will receive funding this year, what they will be investigating, where they will be based... plus lots of other #ERCStG facts & figures for 2025! ➡️ buff.ly/IsafuFh #FrontierResearch 🇪🇺#EUfunded #HorizonEurope
I wrote an op-ed on the world-class STEM research ecosystem in the United States, and how this ecosystem is now under attack on multiple fronts by the current administration: newsletter.ofthebrave.org/p/im-an-awar...
I’m an award-winning mathematician. Trump just cut my funding.
The “Mozart of Math” tried to stay out of politics. Then it came for his research.
newsletter.ofthebrave.org
I have some related posts on this at mathstodon.xyz/@tao/1149568... and mathstodon.xyz/deck/@tao/11...
Terence Tao (@tao@mathstodon.xyz)
The current administration in the US has, through various funding agencies such as the NSF and NIH, has recently suspended virtually all federal grants to my home university, UCLA (including my own p...
mathstodon.xyz
#IPAM (the institute for pure and applied mathematics) is facing a critical shortfall for operating expenses due to an unexpected suspension of NSF funding www.ipam.ucla.edu/news/nsf-fun... . Donations for emergency continuity of operations funding can be made at giving.ucla.edu/Campaign/Donat
ipam.ucla.edu
If you find it strange that the inequality involves two arbitrary states, operator-valued weights come to your aid, giving meaning to the inverse of a state. This way, the inequality becomes a statement about the cp-odering of maps from B(H) to the subalgebras associated with systems B and BC.
Small paper w/ @lvanluijk.bsky.social and @stotti-alex.bsky.social: We revisit the amazing operator inequality by Lin et al. (arXiv:2211.13372), which implies strong sub-additivity of entropy and find that it's a special case of Connes' theory of spatial derivatives: arxiv.org/abs/2508.03731
Small paper w/ @lvanluijk.bsky.social and @stotti-alex.bsky.social: We revisit the amazing operator inequality by Lin et al. (arXiv:2211.13372), which implies strong sub-additivity of entropy and find that it's a special case of Connes' theory of spatial derivatives: arxiv.org/abs/2508.03731
Terence Tao (@teorth.bsky.social) has written a thread on Mastodon about the impact of the federal grant freeze to UCLA, particularly to his own field of Mathematics. UCLA's IPAM (Institute of Pure and Applied Mathematics) could shut down entirely mathstodon.xyz/@tao/1149568...
Terence Tao (@tao@mathstodon.xyz)
The current administration in the US has, through various funding agencies such as the NSF and NIH, has recently suspended virtually all federal grants to my home university, UCLA (including my own p...
mathstodon.xyz
For the math folks on here: NSF has suspended Terry Tao's grant. www.nsf.gov/awardsearch/...
NSF Award Search: Award # 2347850
Structure theory for measure-preserving systems, additive combinatorics, and correlations of multiplicative functions
nsf.gov