Papers5 Dec
The limits of LLMs
It’s a mistake to credit large language models with human levels of reason and other abilities. To use them well, we must know their limits.
Press5 Dec
It’s happening now
The permanent revolution of AI means companies must do more than just adapt to the latest advance. They must become more adaptable.
Papers5 Dec
Mobile impurity
Explicit computation of injection and ejection impurity’s Green’s function reveals a generalisation of the Kubo-Martin-Schwinger relation.
Papers1 Dec
Kerr black holes symmetry
Effective field theories for Kerr black holes, showing the 3-point Kerr amplitudes are uniquely predicted using higher-spin gauge symmetry.
Events26 Jan 2024
St Scholastica’s Feast
We hold an annual formal dinner in our rooms, to mark the anniversary of our founding and affirm our belief in the importance of community.
Events16 Nov
London Gravity Meeting
Researchers working on all aspects of gravity, from gravitational waves to black holes, discuss recent developments in the field.
Events1 Nov
Listening to maths
The luthier Robert Brewer Young explains the geometry of the violin, with musical accompaniment on two violins made by Stradivari himself.
people30 Oct
Welcome, Vyacheslav
Dr Vyacheslav Lysov is our new Arnold Fellow. He works on tropical mirror symmetry, supersymmetric localisation and asymptotic symmetries.
Website11 Oct
Values
Our values are the fundamental organising principles of the London Institute. They determine what we do, how we do it, and who we recruit.
Papers15 Sep
Recursively divisible numbers
“Recursively divisible numbers” is accepted by the Journal of Number Theory, which introduces a recursive analog of the divisor function.
People6 Sep
Welcome, Evgeny
Dr Evgeny Sobko is our new Landau Fellow. His research focuses on exactly solvable models in quantum field and string theory.
press5 Sep
Science goes pro
Professional sport has a lot to teach scientists about pushing the limits of human achievement—so why are we still content to be amateurs?
PEOPLE21 Aug
Welcome, Federico
Dr Federico Carta is our new Leverhulme Postdoctoral Fellow. His research is in string theory, string phenomenology and quantum field theory.
Papers15 Aug
Mobile impurity
Explicit computation of injection and ejection impurity’s Green’s function reveals a generalisation of the Kubo-Martin-Schwinger relation.
Events24-25 AUG
DANGER
The London Institute hosts a two-day workshop for theorists to discuss and explore the links between data science, AI and pure mathematics.
Papers3 Aug
Spin diffusion
SciPost Physics accepts the paper “Finite temperature spin diffusion in the Hubbard model in the strong coupling limit”, by Dr Oleksandr Gamayun et al.
PEOPLE27 Jul
Welcome, Andrei
Dr Andrei Stepanenko is our new Landau Junior Research Fellow. He works on topological photonics, combining topology and quantum computing.
Events25 Jul
Converging futures
The London Institute brings together experts from the worlds of finance and AI to discuss the potential and the pitfalls of AI-driven markets.
Papers25 Jul
Counting recursive divisors
Three new closed-form expressions give the number of recursive divisors and ordered factorisations, which were until now hard to compute.
Papers21 Jul
Bundled Laplacians
JHEP publishes the paper “Numerical spectra of the Laplacian for line bundles on Calabi-Yau hypersurfaces”, co-authored by Prof. Yang-Hui He.
Papers20 Jul
Infinite-dimensional irreducibility
An analog of quasi-regular representations can be constructed for an infinite-dimensional group, despite the absence of the Haar measure.
Papers17 Jul
Recursive divisor properties
The recursive divisor function has a simple Dirichlet series that relates it to the divisor function and other standard arithmetic functions.
Papers14 Jul
Absorption with amplitudes
How gravitational waves are absorbed by a black hole is understood, for the first time, through effective on-shell scattering amplitudes.
Papers13 Jul
Peculiar betas
The beta function for a class of sigma models is found not to be geometric, but rather has an elegant form in the context of algebraic data.
Papers12 Jul
DeepPavlov dream
A new open-source platform is specifically tailored for developing complex dialogue systems, like generative conversational AI assistants.
Events3 Jul
Connected counting
Number theorists gather at the London Institute to discuss cutting-edge research and present their latest work in this branch of mathematics.
Papers23 Jun
Spin diffusion
The spin-spin correlation function of the Hubbard model reveals that finite temperature spin transport in one spatial dimension is diffusive.
Papers21 Jun
Cross-lingual knowledge
Models trained on a Russian topical dataset, of knowledge-grounded human-human conversation, are capable of real-world tasks across languages.
Papers20 Jun
Representation for sums
A new way to estimate indices via representation theory reveals links to the sum-product phenomena and Zaremba’s conjecture in number theory.
Papers16 Jun
Speaking DNA
A family of transformer-based DNA language models can interpret genomic sequences, opening new possibilities for complex biological research.
Events14 Jun
Nuclear Now
The UK premiere of Oliver Stone’s new film, Nuclear Now, takes place in the Lecture Theatre, followed by an interview with the director.
Papers13 Jun
Genetic polytopes
Genetic algorithms, which solve optimisation problems in a natural selection-inspired way, reveal previously unconstructed Calabi-Yau manifolds.
Papers2 Jun
Exponential Kauffman scaling
Surprisingly, the number of attractors in the critical Kauffman model with connectivity one grows exponentially with the size of the network.
people26 May
Welcome, Oleksandr
Dr Oleksandr Gamayun is our latest Arnold Fellow. He works on applications of quantum field theory to problems in condensed matter theory.
Papers25 May
Measuring amoebae
Advances in Theoretical and Mathematics Physics accepts the paper “Mahler measuring the genetic code of amoebae”, co-authored by Prof. Yang-Hui He.
Papers24 May
Bundled Laplacians
Approximating the basis of eigenfunctions allows for computational determination of the harmonic modes of bundle-valued Laplacians on Calabi-Yaus.
Press22 May
The language of maths
A piece in The Times explains how, thanks to our Arnold and Landau Fellowships, mathematicians divided by war find a common denominator.
Events16 May
Towards fluid computing
The London Institute hosts a workshop on the Navier-Stokes millennium-prize problem and its connection to fluid computing and machine learning.
Papers12 May
Sum-product with few primes
For a finite set of integers with few prime factors, improving the lower bound on its sum and product sets affirms the Erdös-Szemerédi conjecture.
people9 May
Welcome, Oleksandr
Prof. Oleksandr Kosyak joins us as our newest Arnold Fellow. His research focus is on representation theory of infinite-dimensional groups.
Papers2 May
Ungrouped machines
Finite Fields and Their Applications accepts the paper “On a girth–free variant of the Bourgain–Gamburd machine,” by Prof. Ilya Shkredov.
Papers1 May
Complex digital cities
A complexity-science approach to digital twins of cities views them as interwoven self-organising phenomena, instead of machines or logistic systems.
Website28 Apr
Research paper filters
We built a new navigation tool that makes it easier to search through all our papers, using filters such as subject, author and journal.
Papers24 Apr
Upscaling memory
The quadratic complexity of attention in transformers is tackled by combining token-based memory and segment-level recurrence, using RMT.
website19 Apr
Funding news
We created a new page on our website that gives a human perspective on our different sources of funding, and what each gift is used for.
Papers18 Apr
Random conjectures
The journal Geometric and Functional Analysis publishes the paper “On the random Chowla conjecture”, co-authored by Prof. Ilya Shkredov.
Events12 Apr
The geometry revolution
At the Royal Institution's Friday Evening Discourse, Prof. Yang-Hui He recounts the creation of modern physics at the hands of geometry.
Events10 Apr
Re-imagining imagination
Our Trustee Martin Reeves explores imagination at its core, rethinking previous romantic notions, asking if we can harness it systematically.
people5 Apr
Welcome, Mikhail
Dr Mikhail Burtsev joins us as a Landau AI Fellow. His research focuses on mathematical tools and ideas that could lead to more intelligent AI.
News4 Apr
What are the chances?
In The Spectator, our writer Madeleine Hall hails John Venn, who pioneered not only Venn diagrams but also frequentist probability.
Website31 Mar
Semantic paper distance
For each of our research papers, we show the papers most related to it by using a large language model to compute a distance function.
News22 Mar
Nurse Review
In Sir Paul Nurse’s review of British science, he names the London Institute as one of five alternatives to the university model for research.
News21 Mar
The big bang
A century ago, in our rooms in Mayfair, Sir James Dewar died. Our writer Thomas Hodgkinson pays tribute to the inventor of cordite in Nautilus.
Events17 Mar
On Zaremba's conjecture
Prof. Ilya Shkredov discusses Zaremba’s elegant 1971 conjecture in the theory of continued fractions, and explores the bounds relating to it.
News17 Mar
Nature cover
Research by Prof. Guido Caldarelli on the renormalisation group in complex networks features on the March 2023 cover of Nature Physics.
people14 Mar
Welcome, Alexander
Prof. Alexander Esterov is our newest Arnold Fellow. He researches enumerative algebraic geometry, Galois theory and the geometry of polytopes.
Events7 Mar
Geometry and fluxes
Prof. Daniel Waldram introduces the formalism and tools for characterising geometries in gravitational theories, such as Calabi-Yau manifolds.
Papers3 Mar
Landau meets Kauffman
A new, simple approach to the critical Kauffman model with connectivity one sharpens the bounds on the number and length of attractors.
perspectives21 Feb
Science without borders
In the Russian press, we argue that our new Fellowships continue a venerable tradition of friendship between British and Russian scientists.
Press21 Feb
Наука без границ
Мы в российской прессе о том, почему наши стипендии продолжают традицию дружбы между британскими и российскими учёными.