### 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.

### 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.

### 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.

### 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.### 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.