• Connected counting

    EventsCOMING ON 3 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.

  • Exponential Kauffman scaling

    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.

  • Welcome, Oleksandr

    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.

  • Measuring amoebae

    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.

  • Bundled Laplacians

    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.

  • Eventscoming on 14 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.

  • 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.

  • Papers15 Dec 2022

    Memristive reservoirs

    Balancing memory from linear components with nonlinearities from memristors optimises the computational capacity of electronic reservoirs.

  • Events15 Dec 2022

    Hochschild and spectral

    The London Institute hosts guest speaker Dr Frank Neumann and the London Algebra Colloquium for their final seminar of 2022.

  • Papers14 Dec 2022

    Mahler meets physics

    Mahler measure from number theory is used for the first time in physics, yielding “Mahler flow” which extrapolates different phases in QFT.

  • people13 Dec 2022

    Welcome, Madeleine

    As our new science writer, Madeleine Hall will help us to communicate our discoveries, share our joy in insight and promote our mission.

  • perspectives12 Dec 2022

    The beautiful game

    The beautiful game of mathematics, accelerating discovery by seeing patterns among the patterns, deserves a Nobel prize all of its own.

  • Events22 Nov 2022

    Primal spheres

    The Ukrainian mathematician Prof. Maryna Viazovska, who won this year’s Fields Medal, joins us for a virtual interview and discussion.

  • Events11 Nov 2022

    Evolution and Occam

    The algorithmic nature of evolution implies an exponential bias towards simpler phenotypes, explaining an observed preference for symmetry.

  • people7 Nov 2022

    Welcome, Ilya

    Prof. Ilya Shkredov is our inaugural Arnold Fellow. He works on additive combinatorics, number theory and combinatorial ergodic theory.

  • Papers2 Nov 2022

    Network renormalization

    Nature Physics accepts the paper “Laplacian renormalization group for heterogeneous networks,” by Prof. Guido Caldarelli and coauthors.

  • jobs25 Oct 2022

    Postdoc in stat phys

    The London Institute is hiring a two-year postdoc in the statistical physics of life, learning and emergence, supervised by Thomas Fink.

  • Papers24 Oct 2022

    Bethe versus Gauge

    The algebra of a toric quiver gauge theory recovers the Bethe ansatz, revealing the relation between gauge theories and integrable systems.

  • Papers24 Oct 2022

    Flowers of immortality

    The eigenvalues of the mortality equation fall into two classes—the flower and the stem—but only the stem eigenvalues control the dynamics.

  • people18 Oct 2022

    Welcome, Alexander

    Dr Alexander Ochirov is our inaugural Landau Research Fellow. He works on scattering amplitudes in quantum field theory and higher spins.

  • News17 Oct 2022

    Landau Fellowships

    We have created the Landau Research Fellowships: five three-year posts for early to mid-career physicists and mathematicians from Russia.

  • Events13 Oct 2022

    Integrable QFTs

    Prof. Alessandro Torrielli talks about integrable quantum field theories and the duality between the 2D Sine-Gordon and 2D Thirring models.

  • perspectives12 Oct 2022

    Landau lives on

    In the Thunderer column of The Times, Thomas Fink argues that Britain should open its doors to Russia’s top physicists and mathematicians.

  • News6 Oct 2022

    Boost for British science

    In Nature, the London Institute argues that its five new Research Fellowships for Russian theorists will be a boost for British science.

  • Events5 Oct 2022

    Young theorists connect

    The London Institute and LonTI host weekly meetings in theoretical physics and mathematics for young researchers to get to know each other.

  • Events23 Sep 2022

    AI mathematics

    The London Institute hosts a day symposium on using AI to speed up mathematical discovery, followed by a panel discussion, drinks and dinner.

  • News20 Sep 2022

    Autumn board meeting

    At our autumn meeting, we discussed the launch of two new Fellowship programmes, our new rooms at the Royal Institution and upcoming events.

  • JOBS9 Sep 2022

    Science writer

    The London Institute is hiring a full-time science writer to lead our digital science communication and help improve and promote our papers.