Reposted by Ramón Nartallo-KaluarachchiOxford Mathematics @oxfordmathematics.bsky.social · 24/09/2026There are two compelling reasons to join us as a Hooke/Titchmarsh Research Fellow. You'll be part of a cohort of leading researchers on fellowships with whom you can share ideas. But as importantly you'll be free to pursue an independent research programme of your own. www.maths.ox.ac.uk/node/82502 044
Reposted by Ramón Nartallo-KaluarachchiGresham College @greshamcollege.bsky.social · 16/09/2026Gresham Prof, @alaingoriely.bsky.social has debunked the myth that the Parthenon included deliberate optical illusions in @theguardian.com bit.ly/parthenon-il... Check out his lecture on the #maths of actual optical illusions: gres.hm/deceived-brain #ancientgreece #GreshamCollegebit.lyUK mathematician debunks myth around Parthenon’s optical illusionsStudy challenges belief that temple’s curves were designed to correct optical illusions that would have ruined its clean lines 052
Reposted by Ramón Nartallo-KaluarachchiAlain Goriely @alaingoriely.bsky.social · 06/09/2026A wonderfully refreshing story showing that math is both about the result and the joy of the discovery (something that seems to be lost in the age of AI). The 92-Year-Old Mathematician and the Teenage Apprentice www.nytimes.com/2026/09/06/s...nytimes.comThe 92-Year-Old Mathematician and the Teenage ApprenticeJoan Birman thought her major discoveries were behind her. Then came an email from a young neighbor — a girl who knew little but wanted to learn. 091
Ramón Nartallo-Kaluarachchi @rnartallo.bsky.social · 19/06/2026I was really pleased to be invited to speak at #BrainNet2026 last month in Stockholm. The video of my talk has been made available online: www.youtube.com/watch?v=kLV-... Thanks again to the organisers and all the attendees for a great workshop!youtube.comRamón Nartallo-Kaluarachchi - Nonequilibrium physics of brain network dynamicsYouTube video by BrainNet 031
Ramón Nartallo-Kaluarachchi @rnartallo.bsky.social · 09/04/2026If 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/80941maths.ox.ac.ukCoarse-graining Brownian dynamics - a case study by Ramón Nartallo-Kaluarachchi | Mathematical Institute\[ dx(t) = f(x)\,dt + \sigma(x)\,dw(t) \] 010
Ramón Nartallo-Kaluarachchi @rnartallo.bsky.social · 31/03/2026This 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!iopscience.iop.orgCoarse-graining nonequilibrium diffusions with Markov chainsCoarse-graining nonequilibrium diffusions with Markov chains, Nartallo-Kaluarachchi, Ramón, Lambiotte, Renaud, Goriely, Alain 081
Ramón Nartallo-Kaluarachchi @rnartallo.bsky.social · 25/03/2026This 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.brainnet26.github.ioBrainNet 2026 030
Reposted by Ramón Nartallo-KaluarachchiAlain Goriely @alaingoriely.bsky.social · 23/03/2026As 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. 0116
Ramón Nartallo-Kaluarachchi @rnartallo.bsky.social · 17/03/2026It 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! 040
Reposted by Ramón Nartallo-KaluarachchiMiguel Aguilera @maguilera.net · 20/02/2026New 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... 093
Reposted by Ramón Nartallo-KaluarachchiAlain Goriely @alaingoriely.bsky.social · 19/02/2026By 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...doi.orgA universal phase-plane model for in vivo protein aggregationNeurodegenerative diseases are driven by the accumulation of protein aggregates in the brain of affected individuals. The aggregation behavior in vitro is well 073
Ramón Nartallo-Kaluarachchi @rnartallo.bsky.social · 17/02/2026🚨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/2602.14885arxiv.orgDrift-Diffusion Matching: Embedding dynamics in latent manifolds of asymmetric neural networksRecurrent 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... 0124
Reposted by Ramón Nartallo-KaluarachchiHadrien Oliveri @hadrienoliveri.bsky.social · 22/01/2026Job 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... 02527
Reposted by Ramón Nartallo-KaluarachchiChristoffer G. Alexandersen @cgalexandersen.bsky.social · 18/01/2026❗🧠 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... 1137
Reposted by Ramón Nartallo-KaluarachchiOxford Mathematics @oxfordmathematics.bsky.social · 08/12/2025O 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 055
Ramón Nartallo-Kaluarachchi @rnartallo.bsky.social · 03/12/2025This 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: 061
Reposted by Ramón Nartallo-KaluarachchiRoyal Society Publishing @royalsocietypublishing.org · 27/11/2025This 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 053
Ramón Nartallo-Kaluarachchi @rnartallo.bsky.social · 26/11/2025🚨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 :) 050
Ramón Nartallo-Kaluarachchi @rnartallo.bsky.social · 10/11/2025🚨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. 052
Ramón Nartallo-Kaluarachchi @rnartallo.bsky.social · 27/10/2025My 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...arxiv.org 020
Ramón Nartallo-Kaluarachchi @rnartallo.bsky.social · 24/10/2025Our review paper on nonequilibrium physics in the brain is now out in Physics Reports! doi.org/10.1016/j.ph...doi.orgRedirecting 062
Reposted by Ramón Nartallo-KaluarachchiAlain Goriely @alaingoriely.bsky.social · 24/10/2025How 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...kwnsfk27.r.eu-west-1.awstrack.meScienceDirect.com | Science, health and medical journals, full text articles and books. 093
Reposted by Ramón Nartallo-KaluarachchiLeonardo Bonetti @leonardobonetti.bsky.social · 16/10/2025www.fifatrainingcentre.com/en/environme...fifatrainingcentre.comBonetti - Decoding the elite footballer’s psychological profileAssociate Professor Leonardo Bonetti discusses the psychological attributes that set footballers apart – and how AI might be able to sport them in youngsters. 101
Ramón Nartallo-Kaluarachchi @rnartallo.bsky.social · 15/10/2025Last 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...youtube.comECM Seminar: Time’s arrow – Life and mind out of equilibriumYouTube video by IMAmaths 010
Reposted by Ramón Nartallo-KaluarachchiHadrien Oliveri @hadrienoliveri.bsky.social · 09/09/2025⭐New preprint: "A multiscale theory for network advection-reaction-diffusion" with @alaingoriely.bsky.social and Emilia Cozzolino arxiv.org/abs/2509.06546 0162
Ramón Nartallo-Kaluarachchi @rnartallo.bsky.social · 29/08/2025This 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...lms.ac.uk 041
Ramón Nartallo-Kaluarachchi @rnartallo.bsky.social · 12/08/2025Excited 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 themima.org.ukECM Seminar: Time’s arrow - Life and mind out of equilibriumIn 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 050
Reposted by Ramón Nartallo-KaluarachchiOxford Mathematics @oxfordmathematics.bsky.social · 05/08/2025Oxford 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 1183
Reposted by Ramón Nartallo-KaluarachchiMiguel Aguilera @maguilera.net · 24/07/2025Our 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 curvaturenature.comExplosive neural networks via higher-order interactions in curved statistical manifolds - Nature CommunicationsHigher-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... 1258
Ramón Nartallo-Kaluarachchi @rnartallo.bsky.social · 14/07/2025This 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?...youtu.beRamón Nartallo-Kaluarachchi: A structural perspective on nonequilibrium brain network dynamicsYouTube video by Workshop on stochastic thermodynamics (WOST) 010
Reposted by Ramón Nartallo-KaluarachchiOxford Mathematics @oxfordmathematics.bsky.social · 05/07/2025Today, 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 0123
Ramón Nartallo-Kaluarachchi @rnartallo.bsky.social · 25/06/2025Tremendously 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/...science.orgCore-shell microcapsules compatible with routine injection enable prime/boost immunization against malaria with a single shotEngineered injectable microcapsules loaded with the R21 malaria vaccine enable delayed release, potentially removing the need for booster injections. 010
Ramón Nartallo-Kaluarachchi @rnartallo.bsky.social · 06/06/2025Final 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 071
Ramón Nartallo-Kaluarachchi @rnartallo.bsky.social · 04/06/2025Speaking 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 051
Reposted by Ramón Nartallo-KaluarachchiAlain Goriely @alaingoriely.bsky.social · 02/06/2025You won't believe your eyes! 071
Reposted by Ramón Nartallo-KaluarachchiDavid Beers @davidbeersmath.bsky.social · 27/05/2025I 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 1/10 184
Ramón Nartallo-Kaluarachchi @rnartallo.bsky.social · 18/05/2025Me 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/70955pnas.orgMultilevel irreversibility reveals higher-order organization of nonequilibrium interactions in human brain dynamics | PNASInformation processing in the human brain can be modeled as a complex dynamical system operating out of equilibrium with multiple regions interacti... 031
Ramón Nartallo-Kaluarachchi @rnartallo.bsky.social · 15/05/2025Last 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... :)youtube.comRamon Nartallo-Kaluarachchi: Non-equilibrium steady-states, from diffusion to digraphsYouTube video by Fresh from the ArXiv 052
Ramón Nartallo-Kaluarachchi @rnartallo.bsky.social · 17/04/2025🚨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! 043
Reposted by Ramón Nartallo-KaluarachchiOxford Mathematics @oxfordmathematics.bsky.social · 13/04/2025May 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. 0102
Reposted by Ramón Nartallo-KaluarachchiAlain Goriely @alaingoriely.bsky.social · 08/04/2025How 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...doi.org 1289
Reposted by Ramón Nartallo-KaluarachchiRoyal Society Publishing @royalsocietypublishing.org · 04/04/2025Modelling cerebrovascular pathology and the spread of amyloid beta in Alzheimer’s disease: royalsocietypublishing.org/doi/10.1098/... #ProcA #Alzheimers #biophysicsroyalsocietypublishing.org 195
Reposted by Ramón Nartallo-KaluarachchiAlain Goriely @alaingoriely.bsky.social · 02/04/2025In 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. 0124
Ramón Nartallo-Kaluarachchi @rnartallo.bsky.social · 27/03/2025🚨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 🧵arxiv.orgFrom reductionism to realism: Holistic mathematical modelling for complex biological systemsAt its core, the physics paradigm adopts a reductionist approach to modelling, aiming to understand fundamental phenomena by decomposing them into simpler, elementary processes. While this strategy ha... 133
Reposted by Ramón Nartallo-KaluarachchiLeonardo Bonetti @leonardobonetti.bsky.social · 10/03/2025🚨 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. 121
Ramón Nartallo-Kaluarachchi @rnartallo.bsky.social · 07/03/2025Check out this feature on the @oxfordmathematics.bsky.social website regarding our recent paper: www.maths.ox.ac.uk/node/70955maths.ox.ac.ukTime-irreversibility reveals hidden structure in neural dynamics | Mathematical Institute 150
Ramón Nartallo-Kaluarachchi @rnartallo.bsky.social · 07/03/2025🚨 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...pnas.orgMultilevel irreversibility reveals higher-order organization of nonequilibrium interactions in human brain dynamics | PNASInformation processing in the human brain can be modeled as a complex dynamical system operating out of equilibrium with multiple regions interacti... 174
Ramón Nartallo-Kaluarachchi @rnartallo.bsky.social · 31/01/2025Super 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! 020