If you are interested in stochastic systems, check out this popular summary of our recent paper on the Maths Institute website: www.maths.ox.ac.uk/node/80941

This work has now been published in JSTAT:
iopscience.iop.org/article/10.1...

If you are interested in complex systems and stochastic processes out of equilibrium, please take a look!

This May, I will giving a talk at BrainNet in Stockholm.

brainnet26.github.io

Many thanks to the organisers for the the invite. It promises to be a great workshop.

As part of this grant I will be looking soon for a Post-doc in Oxford to model nano-morphogenesis. Please RT and contact me directly if it is a good match for you.

It was wonderful to return to Wilson's School yesterday to give a talk as part of their Maths Circle Lectures.

I got to introduce some brilliant GCSE and A Level students to stochastic dynamics and complex systems, with some neuroscience thrown in.

Thanks to the Maths dept for the invite!

New paper out in PRL!
With @artemyte.bsky.social and Sosuke Ito, we combine stochastic thermodynamics with nonequilibrium MaxEnt in large networks to infer entropy dissipation in high-dimensional systems from time series (up to 1000 variables!)

journals.aps.org/prl/abstract...

A universal phase-plane model for in vivo protein aggregation Neurodegenerative diseases are driven by the accumulation of protein aggregates in the brain of affected individuals. The aggregation behavior in vitro is well

By capturing the balance between aggregate formation and cellular clearance, our model explains decades of stability before sudden runaway dynamics, and offers a framework to predict disease onset and therapeutic efficacy. Mostly driven by Matthew Cotton and Georg Meisl doi.org/10.1063/5.03...

Drift-Diffusion Matching: Embedding dynamics in latent manifolds of asymmetric neural networks Recurrent neural networks (RNNs) provide a theoretical framework for understanding computation in biological neural circuits, yet classical results, such as Hopfield's model of associative memory, rel...

🚨PREPRINT

In our new paper, we link RNNs and neural manifolds by introducing the DDM framework.
We can train networks to embed an arbitary dynamical system in a latent subspace. We illustrate this with simple models of input-driven and autonomous associative memory. Enjoy!

arxiv.org/abs/2602.14885

Job alert🚨I am advertising a 2-year postdoctoral position to work on the mathematics of plant morphogenesis @mpipz.bsky.social. Candidates with interests in mathematical modelling, mechanics, or biophysics are strongly encouraged to apply. 🌱Reposts are appreciated!

jobs.mpipz.mpg.de/jobposting/4...

❗🧠 New review in IEEE RBME

How network math models are reshaping how we think about neurodegenerative disease, from brain dynamics to disease progression

"Network models of neurodegeneration: bridging neuronal dynamics and disease progression"
ieeexplore.ieee.org/document/113...

O little town of Oxford,
How still we see thee lie.
But above thy deep and dreamless sleep,
Complex thoughts go by.

Still not convinced? Don't worry, you have all Christmas to 'mull' it over. Closes 12 January.

Full details of the role: www.maths.ox.ac.uk/node/74844

This week, the work we did as part of my research internship at IBM is being presented at the MLxOR workshop at NeurIPS.

We look at uncertainty quantification for GFlowNets using PCEs.

See the poster below:

This new #JRSocInterface Perspective, using #neuroscience as an example, argues for a new paradigm of holistic #mathematical modelling that attempts to incorporate the necessary complexity into models of biological systems: royalsocietypublishing.org/doi/10.1098/... @rnartallo.bsky.social

🚨Our perspective article of the future of mathematical modelling for complex biological systems has been published in Interface.

royalsocietypublishing.org/doi/10.1098/...

I hope you enjoy it :)

🚨PREPRINT

Coarse-graining diffusions with discrete-state approximations is an easy and effective way to build stochastic models from observed trajectories, but how valid is this approximation?

arxiv.org/pdf/2511.05366

We focus on this problem, with an emphasis on the nonequilibrium steady-state.

My work on uncertainty quantification for GFlowNets, that I did during my research internship at IBM is now out on the arXiv!

arxiv.org/pdf/2510.215...

Our review paper on nonequilibrium physics in the brain is now out in Physics Reports!
doi.org/10.1016/j.ph...

How does the 🧠 process information?

In this review we show how to use the tools of non-equilibrium thermodynamics to understand brain dynamics in discrete and continuous state spaces

Great work led by Ramon as part of his PhD

kwnsfk27.r.eu-west-1.awstrack.me/L0/https:%2F...

Bonetti - Decoding the elite footballer’s psychological profile Associate Professor Leonardo Bonetti discusses the psychological attributes that set footballers apart – and how AI might be able to sport them in youngsters.

www.fifatrainingcentre.com/en/environme...

ECM Seminar: Time’s arrow – Life and mind out of equilibrium YouTube video by IMAmaths

Last week I gave the ECM Seminar at the
@ima-maths.bsky.social on 'Time's Arrow - Life and Mind out of Equilibrium'.

You can now rewatch the seminar online:
www.youtube.com/watch?v=hXBo...

⭐New preprint: "A multiscale theory for network advection-reaction-diffusion"

with @alaingoriely.bsky.social and Emilia Cozzolino

arxiv.org/abs/2509.06546

This month's @londmathsoc.bsky.social newsletter contains a feature by one of the world's greates living scientists (me)
and also work by Roger Penrose.

I hope you enjoy :)
www.lms.ac.uk/sites/defaul...

ECM Seminar: Time’s arrow - Life and mind out of equilibrium In the latest run of the Early Career Mathematicians Seminar Series we will be joined by the winner of the 2024 Graham Hoare Prize. The Graham Hoare Prize

Excited to say that I will giving the IMA Early Career Mathematicians seminar on October 9th.
ima.org.uk/27052/ecm-se...

It will be happening online so feel free to join!
I will talking about nonequilibrium steady-states in complex systems - what they are and how to find them

Oxford Mathematician @alaingoriely.bsky.social awarded the 2025 LMS/IMA David Crighton Medal for his deep and influential insights into mechanical and biological processes, support of early career mathematicians, and commitment to the public understanding of maths.

www.maths.ox.ac.uk/node/72714

Explosive neural networks via higher-order interactions in curved statistical manifolds - Nature Communications Higher-order interactions shape complex neural dynamics but are hard to model. Here, authors use a generalization of the maximum entropy principle to introduce a family of curved neural networks, reve...

Our paper just out in Nature Communications!
www.nature.com/articles/s41...

We introduce curved neural networks naturally introducing high-order interactions showing:
• explosive phase transitions
• enhanced memory retrieval via self-annealing
• increased memory capacity through geometric curvature

Ramón Nartallo-Kaluarachchi: A structural perspective on nonequilibrium brain network dynamics YouTube video by Workshop on stochastic thermodynamics (WOST)

This year’s Workshop on Stochastic Thermodynamics (WOST VI) talks are now online!

I was very grateful to give a short talk about my work on nonequilibrium brain network dynamics:

youtu.be/-z38f0fVMs4?...

Today, the Tour de France begins 3 gruelling weeks of sun, scenery & summits, but what's the key to winning in this elite world of small margins? How about appetite for risk? @imgoxford.bsky.social & @javichico.bsky.social lead the breakaway.

Read more: www.maths.ox.ac.uk/node/72427

#TDF2025

Core-shell microcapsules compatible with routine injection enable prime/boost immunization against malaria with a single shot Engineered injectable microcapsules loaded with the R21 malaria vaccine enable delayed release, potentially removing the need for booster injections.

Tremendously proud of my dear friend Romain Guyon who has just published this amazing paper on the cover of Science Translational Medicine!

He has invented revolutionary new technology for the delivery of booster vaccine doses in a single shot.

www.science.org/doi/10.1126/...

Final shift at @netsciconf.bsky.social presenting my poster on nonequilibrium brain network dynamics.

Also got to see our fearless leader, Renaud Lambiotte, collect his well-deserved Fellowship.

#NetSci2025

Speaking at NetSci2025 about our recent Learning on Graphs paper.

We build up a theoretical and applied approach to use Hodge theory on graphs to study stochastic systems!

arxiv.org/pdf/2409.07479

#NetSci2025