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  • Arnold & Landau
  • Geordie Williamson

    Eventscoming 19 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.

  • The human side of maths

    Eventscoming 19 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.

  • Bootstrapping strings

    Eventscoming 12 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.

  • How evolution searches

    Eventscoming 1 oct

    How evolution searches

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

  • Beyond the continuum

    Eventscoming 30 sep

    Beyond the continuum

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

  • Eventscoming 30 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.

  • Eventscoming 24 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.

  • Events23 Apr

    Unstable singularities

    Javier Gómez-Serrano shows how machine learning uncovers unstable singularities in fluid dynamics equations, achieving near-maximal accuracy.

  • Papers22 Apr

    Permuting the roots

    The Galois group of a typical rational function is described and similar problems solved using the topology of braids and tropical geometry.

  • Papers16 Apr

    Permuting the roots

    The Journal of the European Mathematical Society accepts “Permuting the roots…” by our Fellow Alexander Esterov and his coauthor.

  • Papers9 Apr

    Multi-path transfer

    Simultaneous propagation along multiple paths speeds excitation transfer in long-range lattices, proving an evident quantum advantage.

  • Events9 Apr

    Topological anomalies

    Weicheng Ye presents a framework for anomalies in topological orders and shows how they determine which phases can be physically realised.

  • Events7 Apr

    Continuous gauging

    Matthew Yu introduces a categorical framework for gauging symmetries and constructs Symmetry Topological Field Theories with boundaries.

  • Events7 Apr

    Non-orientable TQFTs

    Ippo Orii surveys topological field theories and discusses the implications of recent progress in extending them to non-orientable manifolds.

  • People6 Apr

    How I work

    Thomas Hodgkinson describes his routine and the tricks and techniques he deploys for getting his writing done and placing it in the press.

  • People6 Apr

    How I work

    Thomas Fink describes the routines, rituals and habits that he has developed for his research and writing and running the London Institute.

  • Events2 Apr

    New maths with AI

    Adam Zsolt Wagner discusses how AI-driven search in language space accelerates mathematical discovery and progress on long-standing problems.

  • Papers25 Mar

    AI for error correction

    Machine learning finds “champion” codes by predicting and optimising their minimum Hamming distance, a measure of a code’s robustness.

  • Papers20 Mar

    An 8-fold way for CRT

    The journal Physical Review B accepts “C-R-T fractionalisation in the first quantised Hamiltonian theory” by Juven Wang and his coauthors.

  • Events16 Mar

    Entanglement matters

    In a new video, colloquium speaker Frank Verstraete shows how tensor networks harness entanglement to simulate quantum many-body systems.