• On Zaremba's conjecture

    EventsComing on 29 Mar

    On Zaremba's conjecture

    Prof. Ilya Shkredov presents a marked improvement to the Korobov bound concerning Zaremba’s conjecture in the theory of continued fractions.

  • Nature cover

    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.

  • Welcome, Alexander

    News14 Mar

    Welcome, Alexander

    Prof. Alexander Esterov is our newest Arnold Fellow. He researches enumerative algebraic geometry, Galois theory and the geometry of polytopes.

  • Geometry and fluxes

    Events13 Mar

    Geometry and fluxes

    Prof. Daniel Waldram introduces the formalism and tools for characterising geometries in gravitational theories, such as Calabi-Yau manifolds.

  • Landau meets Kauffman

    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.

  • Events24 FEB

    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.

  • 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

    В российской прессе мы написали о том, почему наши новые стипендии продолжают старую 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.

  • Papers10 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.

  • Events8 FEB

    Re-imagining imagination

    Our Trustee Martin Reeves explores imagination at its core, rethinking previous romantic notions, asking if we can harness it systematically.

  • 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 style guide

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

  • Papers9 Jan

    Network renormalization

    Applying diffusion-based graph operators to complex networks identifies the proper spatiotemporal scales by overcoming small-world effects.

  • Papers30 Dec

    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

    Memristive reservoirs

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

  • Events15 Dec

    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

    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.

  • News13 Dec

    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

    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

    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

    Evolution and Occam

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

  • News07 Nov

    Welcome, Ilya

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

  • jobs25 Oct

    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

    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

    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.

  • News18 Oct

    Welcome, Alexander

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

  • News

    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

    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

    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.

  • News06 Oct

    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.

  • Events05 Oct

    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

    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

    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.

  • JOBS09 Sep

    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.

  • PEOPLE06 Sep

    Welcome, Alana

    We are pleased to welcome Alana Ker Mercer, who, as our new coordinator, will orchestrate the efficient running of the organisation.

  • News05 Sep

    Space for science

    We’ve doubled our space at the Royal Institution. Our new rooms include Faraday's drawing room and the guest room for Christmas Lecturers.

  • Events31 Aug

    Cheers, Brits and Yanks

    The London Institute welcomes MIT alumni to the Royal Institution to mark Prof. Peter Fisher’s departure as Head of Physics at MIT.

  • Papers22 Aug

    Algebra of crystals

    Certain states in quantum field theories are described by the geometry and algebra of melting crystals via properties of partition functions.

  • Projects15 Aug

    Genetic computation

    Understanding genetic computation using regulatory motifs, a new kind of structural and functional building block of gene regulatory networks.

  • website10 Aug

    Seeing the big picture

    Our new wide-format website shows users the big picture, while staying true to our simplicity, modularity and recursively divisible grids.

  • Press09 Aug

    Price of immortality

    Like Orpheus in the Underworld, the London Institute is challenging mortality, says our writer Thomas Hodgkinson in The Sunday Telegraph.

  • press05 Aug

    Yang’s Springer podcast

    In an interview with Springer, Yang discusses his research moving between mathematics, physics, and AI, and his life, in between cultures.

  • press27 Jul

    Immortality maths

    Is there an advantage to ageing? Should we populate space? Is it fun to be a physicist? The London Institute talks to the Takeaway podcast.

  • Papers26 Jul

    Genetic computation

    The structural and functional building blocks of gene regulatory networks correspond, which tell us how genetic computation is organised.

  • Website06 Jul

    Who we are, updated

    Our new About section describes our story, research, communication, funding, home in the Royal Institution and organisational intelligence.

  • perspectives04 Jul

    History repeats itself

    The Royal Institution supported scientists fleeing 1930s authoritarianism. Now, thanks to our Arnold Fellowships, history repeats itself.

  • Papers01 Jul

    AI classifies space-time

    A neural network learns to classify different types of spacetime in general relativity according to their algebraic Petrov classification.

  • Events23 Jun

    The OS of life

    Breakthroughs in cell programming are kicking off a biological analogue of the silicon revolution, allowing us to predictably engineer life.

  • Events16 Jun

    Accelerating innovation

    The London Institute and the Ditchley Foundation host an afternoon discussion and drinks on the science of innovation and how to speed it up.

  • perspectives16 May

    From Russia with math

    History suggests our new posts for physicists and mathematicians from Russia, Ukraine and Belarus will have an enduring impact on UK science.

  • News

    Arnold Fellowships

    In support of those affected by the war in Ukraine, we have created five new Fellowships for scientists from Russia, Ukraine and Belarus.

  • Papers28 Apr

    Learning Hilbert series

    Neural networks find efficient ways to compute the Hilbert series, an important counting function in algebraic geometry and gauge theory.

  • Papers28 Apr

    The rules of life

    The bipartite nature of regulatory networks means gene-gene logics are composed, which severely restricts which ones can show up in life.

  • perspectives21 Apr

    Designing web design

    To mark our Webby nomination, we describe the design principles behind our website and how they evolved in tandem with the Institute itself.

  • News11 Apr

    Webby Award Nominee

    Our website has been nominated for the best science website in the Webby Awards—hailed the “internet’s highest honor” by The New York Times.