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...

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...

🚨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...

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...

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

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

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

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

You won't believe your eyes!

I posted about this paper this a while ago on another website, but figured I'd post it here now that I have a few followers. (Joint with @haharrington.bsky.social, Jacob Leygonie, @uzulim.bsky.social, and Louis Theran). arxiv.org/abs/2411.08201 1/10

Me and Leonardo recently sat down to talk to Dyrol about our recent project, and more generally about collaboration in the mathematical and applied sciences. We hope you enjoy! You can read the paper here: www.pnas.org/doi/abs/10.1... Or the case study on the Maths site www.maths.ox.ac.uk/node/70955

Last week, I gave the Networks seminar here at Oxford on: 'Nonequilibrium steady-states: from diffusion to digraphs', talking about some of my recent work on discrete approximations of nonequilibrium diffusions. It is available online: www.youtube.com/watch?v=ezep... :)

🚨REVIEW We have written a review on the emerging topic of nonequilibrium, irreversible dynamics in the brain. Now out on the arXiv: arxiv.org/abs/2504.12188 We introduce the relevant mathematical frameworks, discuss recent interesting results, and look to the future of this research direction!

May we introduce to you @lambiotte.bsky.social, Professor of Mathematics here in the University (and cathedral city) of Oxford, well-connected across all networks (hint to watch the film) and great family guy. Except when he's talking to them about maths.

How do axons “choose” their path during neurodevelopment? Besides chemical cues, axons can respond to the mechanical stiffness of their environment. This behavior is called durotaxis. In this paper, we develop a full multiscale model of axon durotaxis. doi.org/10.1016/j.jm...

Modelling cerebrovascular pathology and the spread of amyloid beta in Alzheimer’s disease: royalsocietypublishing.org/doi/10.1098/... #ProcA #Alzheimers #biophysics

In this paper, we connect local damage to brain vasculature to global progression of toxic proteins leading to neurodegenerative diseases. royalsocietypublishing.org/doi/epdf/10.... We identify situations where disease initiation can be caused by focal hypoperfusion following vascular injury.

🚨PERSPECTIVE We have written a perspective calling for a holistic approach to mathematical modelling for biological systems - it now out on the arXiv: arxiv.org/abs/2503.20511 A thread 🧵

🚨 New paper out in PNAS! 🚨 We introduce a method to pinpoint which neural interactions are far from equilibrium by mapping time-irreversible dynamics onto directed multilayer graphs.

Check out this feature on the @oxfordmathematics.bsky.social website regarding our recent paper: www.maths.ox.ac.uk/node/70955

🚨 NEW PAPER ALERT! After such a long journey, I am so glad to see this published in @PNASNews: pnas.org/doi/10.1073/... Big thanks to @leonardobonetti.bsky.social, Gemma Fernandez-Rubio, Peter Vuust, Gustavo Deco, Morten Kringelbach, Renaud Lambiotte and @alaingoriely.bsky.social A thread...

Super excited to be returning to Wilson's, to give a Maths Circle lecture about my PhD work. Without the excellent maths department at Wilson's, my career path would be very different. It is an honour to be invited back. Hopefully, it inspires a few more students to pursue mathematical research!