EventsCOMING ON 3 JUL
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
Surprisingly, the number of attractors in the critical Kauffman model with connectivity one grows exponentially with the size of the network.
Dr Oleksandr Gamayun is our latest Arnold Fellow. He works on applications of quantum field theory to problems in condensed matter theory.
Advances in Theoretical and Mathematics Physics accepts the paper “Mahler measuring the genetic code of amoebae”, co-authored by Prof. Yang-Hui He.
Approximating the basis of eigenfunctions allows for computational determination of the harmonic modes of bundle-valued Laplacians on Calabi-Yaus.
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
The UK premiere of Oliver Stone’s new film, Nuclear Now, takes place in the Lecture Theatre, followed by an interview with the director.
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.
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.
Prof. Oleksandr Kosyak joins us as our newest Arnold Fellow. His research focus is on representation theory of infinite-dimensional groups.
Finite Fields and Their Applications accepts the paper “On a girth–free variant of the Bourgain–Gamburd machine,” by Prof. Ilya Shkredov.
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.
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.
The quadratic complexity of attention in transformers is tackled by combining token-based memory and segment-level recurrence, using RMT.
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.
The journal Geometric and Functional Analysis publishes the paper “On the random Chowla conjecture”, co-authored by Prof. Ilya Shkredov.
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.
Our Trustee Martin Reeves explores imagination at its core, rethinking previous romantic notions, asking if we can harness it systematically.
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.
What are the chances?
In The Spectator, our writer Madeleine Hall hails John Venn, who pioneered not only Venn diagrams but also frequentist probability.
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.
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.
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.
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.
Research by Prof. Guido Caldarelli on the renormalisation group in complex networks features on the March 2023 cover of Nature Physics.
Prof. Alexander Esterov is our newest Arnold Fellow. He researches enumerative algebraic geometry, Galois theory and the geometry of polytopes.
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
A new, simple approach to the critical Kauffman model with connectivity one sharpens the bounds on the number and length of attractors.
Science without borders
In the Russian press, we argue that our new Fellowships continue a venerable tradition of friendship between British and Russian scientists.
Наука без границ
Мы в российской прессе о том, почему наши стипендии продолжают традицию дружбы между британскими и российскими учёными.
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.
In a letter in The Times, our Director Thomas Fink argues that supporting independent research centres will accelerate discovery for Britain.
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.
Design meets maths
Designers and theorists talk about the intersection of design and mathematics in visualisation, architecture, digital design and industry.
Dr Andreas Stergiou delivers an introduction to the conformal bootstrap method which is used to constrain and solve conformal field theories.
The London Institute is establishing an annual prize of £500 for the best short paper in theoretical research written by one of its members.
Multiplicativity of sets
Expanding the known multiplicative properties of large difference sets yields a new, quantitative proof on the structure of product sets.
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
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
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
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
Prof. Ilya Shkredov is our inaugural Arnold Fellow. He works on additive combinatorics, number theory and combinatorial ergodic theory.
Papers2 Nov 2022
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
Dr Alexander Ochirov is our inaugural Landau Research Fellow. He works on scattering amplitudes in quantum field theory and higher spins.
News17 Oct 2022
We have created the Landau Research Fellowships: five three-year posts for early to mid-career physicists and mathematicians from Russia.
Events13 Oct 2022
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
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
The London Institute is hiring a full-time science writer to lead our digital science communication and help improve and promote our papers.