• The limits of LLMs

    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.

  • It’s happening now

    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.

  • Mobile impurity

    Papers5 Dec

    Mobile impurity

    Explicit computation of injection and ejection impurity’s Green’s function reveals a generalisation of the Kubo-Martin-Schwinger relation.

  • Kerr black holes symmetry

    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.

  • St Scholastica’s Feast

    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


    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


    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.