• Recursively divisible numbers

    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.

  • Welcome, Evgeny

    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.

  • Science goes pro

    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?

  • Welcome, Federico

    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.

  • Mobile impurity

    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.

  • Papers16 Feb

    Cell soup in screens

    Bursting cells can introduce noise in transcription factor screens, but modelling this process allows us to discern true counts from false.

  • Press13 Feb

    Accelerating science

    In a letter in The Times, our Director Thomas Fink argues that supporting independent research centres will accelerate discovery for Britain.

  • Papers13 Feb

    Single-input Boolean networks

    A new, simpler approach to the critical Kauffman model with connectivity one reveals that it has more attractors than previously believed.

  • Events31 Jan

    Design meets maths

    Designers and theorists talk about the intersection of design and mathematics in visualisation, architecture, digital design and industry.

  • Events30 Jan

    Conformal bootstrap

    Dr Andreas Stergiou delivers an introduction to the conformal bootstrap method which is used to constrain and solve conformal field theories.

  • News26 Jan

    Conway Prize

    The London Institute is establishing an annual prize of £500 for the best short paper in theoretical research written by one of its members.

  • Papers22 Jan

    Multiplicativity of sets

    Expanding the known multiplicative properties of large difference sets yields a new, quantitative proof on the structure of product sets.

  • design18 Jan

    Writing rules guide

    Part of our design guide, our writing style guide is a collection of rules for writing and typesetting our website and research papers.

  • Papers30 Dec 2022

    Bounding Zaremba’s conjecture

    Using methods related to the Bourgain–Gamburd machine refines the previous bound on Zaremba’s conjecture in the theory of continued fractions.