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  • Arnold & Landau
  • Record-breaking snakes

    Papers28 Oct

    Record-breaking snakes

    Induced paths in hypercubes, or ‘snakes’, of record length are found using novel search methods built for difficult long-horizon problems.

  • Infinite cat maps

    Eventscoming 11 Nov

    Infinite cat maps

    Anton Kapustin derives the second law of thermodynamics from deterministic reversible dynamics and shows why the quantum case is harder.

  • 31231223123

    Papers22 Oct

    Towards optimal control

    The journal Physical Review A accepts paper “Efficient computation of quantum time-optimal control” by Andrei Stepanenko and his coauthors.

  • Complex surfaces

    Eventscoming 11 Nov

    Complex surfaces

    The London Institute hosts a workshop on complex surfaces focusing on non-Kähler geometry, Class VII surfaces and holomorphic foliations.

  • Singularity's echo

    Events21 Oct

    A singularity's echo

    Sean Hartnoll shows how the ringing of black holes reveals chaotic dynamics near their singularities and hints at hidden mathematical order.

  • Press21 Oct

    Mathpocalypse now

    On The Economist’s Babbage podcast, Prof. Yang-Hui He talks about the fall-out from the mathpocalypse—and all the reasons to be cheerful.

  • Events19 Oct

    What maths means to us

    Geordie Williamson explores what AI’s rise reveals about how humans do mathematics, from definitions and prediction to the role of geometry.

  • Events19 Oct

    Meet Prof. Williamson

    Geordie Williamson discusses the nature of mathematical discovery, the impact of AI and the future of mathematics as a human profession.

  • Events16 Oct

    Positive exotics

    Yang-Hui He explains how to find positively sectionally-curved metrics on all 28 smooth seven-spheres, answering a question from the 1950s.

  • Papers14 Oct

    Maximal determinants

    Binary matrices achieving record-highest determinants are computed by employing reinforcement learning as a combinatorial optimisation tool.

  • Events12 Oct

    Bootstrapping strings

    Shai Chester explores how to bootstrap string theory in AdS using AdS/CFT, from conformal blocks to the first correction beyond flat space.

  • Press12 Oct

    The spirit of LIMS

    Our governor Tom Walton-Pocock on why, while Silicon Valley wilts, he’s backing the London Institute to make Faraday-grade breakthroughs.

  • Events9 Oct

    Landau revisited

    Sakura Schafer-Nameki explores how generalised symmetries extend Landau’s theory of phase transitions—and reveal where it still falls short.

  • Events2 Oct

    The power of AR

    Alexei Lisitsa makes the case that in pure mathematics, where rigour and structure are central, symbolic methods in AI remain essential.

  • Events1 Oct

    How evolution searches

    Roman Belavkin explains why mutation slows near an evolutionary optimum, while recombination can keep adaptation moving by reshuffling DNA.

  • Events30 Sep

    Reconstructing rings

    Elena Bunina shows how matrix groups retain a hidden record of the algebraic data used to build them, even when their origins are unknown.

  • Events30 Sep

    Beyond the continuum

    Boris Zilber explores whether a finite structure can approximate the continuous world, with implications for spacetime and quantum theory.

  • Press28 Sep

    Open discovery corp.

    An open discovery corporation builds an institution whose capability for discovery compounds over time while its discoveries remain open.

  • Papers25 Sep

    Whitney revisited

    A Whitney-type cusp and fold theorem is proved for general algebraic surface projections and for sparse univariate polynomial discriminants.

  • Events24 Sep

    Making sense of S⁶

    Nikon Kurnosov explains Claude’s proposed solution to the six-dimensional sphere puzzle, using Phil Engel’s geometric account of the proof.

  • Papers16 Sep

    Cohomological beta

    A new algebraic method shows beta functions arise when conformal symmetry breaks, reproducing Cardy’s formula without computing correlators.

  • Papers16 Sep

    Arithmetic as images

    Computer vision distinguishes elliptic curves from random data and predicts analytic rank by reading arithmetic patterns in digital images.

  • Papers15 Sep

    Multicomponent flow

    Strong interactions reshape transport in one-dimensional quantum gases, with unusual temperature effects and anomalous current fluctuations.

  • Press15 Sep

    What America gets right

    In Billionaire Magazine, our development director Sarah Myers Cornaby asks why Britain has given up on endowment, while America forges ahead.

  • Events14 Sep

    Simplicity runs deep

    Thomas Fink shows how a hierarchical composition naturally favours simple outputs, revealing an intrinsic Occam’s razor in layered systems.

  • Papers10 Sep

    From Foliations to Kato

    The Global Spherical Shell conjecture is proved for a class of complex surfaces with two singular holomorphic foliations, a key open case.

  • Press27 Aug

    On rethinking research

    Our director Thomas Fink talks about how and why he founded the London Institute on physicist and entrepreneur Steve Hsu’s Manifold podcast.

  • People19 Aug

    Welcome, Zeel

    Zeel Patel is a LIMS governor and President of Savaya Capital, a private family office that invests in technology across global markets.

  • Events19 Aug

    Qubits for QFT

    Jiunn-Wei Chen shows how quantum computers can turn field theory into a laboratory for particles and gauge fields coming to equilibrium.

  • People18 Aug

    Welcome, Chris

    Chris Hull is a Fellow at LIMS and Professor at Imperial College. He works on superstring theory, quantum gravity and quantum field theory.

  • Papers17 Aug

    Mott to superconductor

    npj Quantum Materials accepts paper “Superconductivity from doping symmetric mass generation insulators...” by Juven Wang and his coauthors.

  • Papers12 Aug

    Exact hard-rod dynamics

    A canonical quantum fluid model is solved exactly, revealing universal correlation patterns governed by Gaussian random-matrix ensembles.

  • Papers11 Aug

    Analysing the vacuum

    Birational methods in algebraic geometry are used to explicitly describe the vacuum structure of the Minimal Supersymmetric Standard Model.

  • Papers10 Aug

    Three fermion families

    Physical Review D accepts paper “Fermion families and Pontryagin class: Topological field theory via...” by Juven Wang and his coauthors.

  • People4 Aug

    Welcome, Venu

    Mr Goswami is a Ramanujan Junior Visitor at LIMS. His work focuses on stochastic processes and non-linear dynamics in population genetics.

  • Papers14 Jul

    C, P and T in fractions

    Charge-conjugation, space-parity and time-reversal symmetries are shown to form noncommutative groups, including the order-16 Pauli group.

  • Events14 Jul

    Aspects of geometry

    The London Institute hosts a workshop on algebraic geometry focusing on deformation theory, representation theory and birational geometry.

  • News6 Jul

    Georgi–Glashow Prize

    The London Institute is establishing an annual prize of £500 for the best collaborative research paper written by two or more of its members.

  • Events1 Jul

    The shape of music

    Music is seen as well as heard, with our governor Thore Graepel’s visualisation of sound, and a recital by acclaimed pianist Sasha Grynyuk.

  • Events30 Jun

    Being hyperefficient

    Mithu Storoni explores the science of mental performance, revealing how to cultivate productivity, creativity, focus and sustained insight.

  • Papers25 Jun

    A Calabi–Yau toolkit

    We introduce CIPro, a new toolkit that automates calculations on Calabi–Yau geometries and helps explore string compactifications and vacua.

  • Events12 Jun

    A simpler cosmology

    In a new video, Neil Turok presents a minimal paradigm for cosmology that explains the universe’s large-scale structure and dark matter.

  • Papers11 Jun

    Physics of bundles

    Canonical connections in string compactifications are computed for a broad class of bundles over Calabi-Yau manifolds by a new method.

  • Papers10 Jun

    Transcendentality proof

    The principle of maximal transcendentality is proved to all orders for the vacuum energy of a strongly interacting quantum field theory.

  • Press10 Jun

    Unseen elegance

    Our Fellow Evgeny Sobko’s research on AI-driven discovery of integrable models is featured by Nebius Science. Nebius helps support his work.

  • Papers10 Jun

    Dynamical frustration

    A new metamaterial composed of oscillators driven by external pumping is used to study the unidirectional drift of stable phase dislocations.

  • People9 Jun

    Welcome, Sandra

    Sandra Suits is the office coordinator at LIMS, where her duties include helping to host events and assisting our scientists and staff.

  • Press8 Jun

    AI will augment theory

    In a Nature comment, we set out how AI systems will help human scientists accelerate discovery in mathematics and theoretical physics.

  • Papers8 Jun

    Analysing the vacuum

    Physical Review D accepts paper “The vacuum moduli space of the minimal supersymmetric standard model” by Yang-Hui He and his coauthors.

  • Events5 Jun

    Meet Neil Turok

    In a new video, Neil Turok discusses the future of theoretical physics, the impact of AI and how to build institutes for fundamental science.

  • Papers1 Jun

    Deep-layer distribution

    The output distribution of a deep-layered machine with random logics exhibits a critical network depth, at which it is maximally biased.

  • Papers25 May

    Three fermion families

    A colour symmetry extension of baryon plus lepton symmetric gapped quantum topological order replaces families of massive sterile neutrinos.

  • People18 May

    Welcome, Justin

    Justin Tan is a Cognia Junior Research Fellow at LIMS. His work focuses on string theory, computational geometry and AI-assisted mathematics.

  • Events18 May

    Frontiers of AI

    Mikhail Burtsev and Yang-Hui He explore advances in AI, from long-context transformers to the impact of machine intelligence on science.

  • People15 May

    Welcome, Devon

    As well as a LIMS governor, Devon Cross is president of Logos Forums, which runs strategic simulations spanning tech, finance and security.

  • Events14 May

    AI meets string theory

    Andre Lukas shows how machine learning tackles string theory’s vast data, uncovering patterns, exploring its landscape and solving equations.

  • Events13 May

    Meet Neil Turok

    Neil Turok discusses the future of theoretical physics, the impact of AI and how to build and lead institutes for fundamental research.

  • Events13 May

    A simpler cosmology

    Neil Turok presents a minimal paradigm for cosmology that explains the universe’s large-scale structure, dark matter and the Standard Model.

  • Papers5 May

    A new leptogenesis

    We propose that dark matter consists of topological order, so gapped anyon excitations decay to generate the Standard Model's lepton asymmetry.

  • Papers1 May

    An 8-fold way for CRT

    Varying the spacetime dimensions fermions occupy shows charge-conjugation C, space-reflection R and time-reversal T symmetries are 8-fold periodic.