Ramón Nartallo-Kaluarachchi
@rnartallo.bsky.social
Doctoral student in applied mathematics at the University of Oxford. Interested in complex systems, dynamics, networks and neuroscience.
https://www.rnartallo.co.uk/
https://www.rnartallo.co.uk/
🚨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.
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.
November 10, 2025 at 9:39 AM
🚨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.
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...
arxiv.org/pdf/2510.215...
arxiv.org
October 27, 2025 at 9:33 AM
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...
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...
doi.org/10.1016/j.ph...
October 24, 2025 at 8:34 AM
Our review paper on nonequilibrium physics in the brain is now out in Physics Reports!
doi.org/10.1016/j.ph...
doi.org/10.1016/j.ph...
Reposted by Ramón Nartallo-Kaluarachchi
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...
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...
ScienceDirect.com | Science, health and medical journals, full text articles and books.
kwnsfk27.r.eu-west-1.awstrack.me
October 24, 2025 at 4:51 AM
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...
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...
Reposted by Ramón Nartallo-Kaluarachchi
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...
@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...
ECM Seminar: Time’s arrow – Life and mind out of equilibrium
YouTube video by IMAmaths
www.youtube.com
October 15, 2025 at 10:36 AM
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...
@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...
Reposted by Ramón Nartallo-Kaluarachchi
⭐New preprint: "A multiscale theory for network advection-reaction-diffusion"
with @alaingoriely.bsky.social and Emilia Cozzolino
arxiv.org/abs/2509.06546
with @alaingoriely.bsky.social and Emilia Cozzolino
arxiv.org/abs/2509.06546
September 9, 2025 at 7:44 AM
⭐New preprint: "A multiscale theory for network advection-reaction-diffusion"
with @alaingoriely.bsky.social and Emilia Cozzolino
arxiv.org/abs/2509.06546
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...
and also work by Roger Penrose.
I hope you enjoy :)
www.lms.ac.uk/sites/defaul...
www.lms.ac.uk
August 29, 2025 at 10:24 PM
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...
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
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
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
ima.org.uk
August 12, 2025 at 10:12 AM
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
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
Reposted by Ramón Nartallo-Kaluarachchi
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
www.maths.ox.ac.uk/node/72714
August 5, 2025 at 4:33 PM
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
www.maths.ox.ac.uk/node/72714
Reposted by Ramón Nartallo-Kaluarachchi
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
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
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...
www.nature.com
July 24, 2025 at 10:24 AM
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
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?...
I was very grateful to give a short talk about my work on nonequilibrium brain network dynamics:
youtu.be/-z38f0fVMs4?...
Ramón Nartallo-Kaluarachchi: A structural perspective on nonequilibrium brain network dynamics
YouTube video by Workshop on stochastic thermodynamics (WOST)
youtu.be
July 14, 2025 at 8:14 AM
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?...
I was very grateful to give a short talk about my work on nonequilibrium brain network dynamics:
youtu.be/-z38f0fVMs4?...
Reposted by Ramón Nartallo-Kaluarachchi
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
Read more: www.maths.ox.ac.uk/node/72427
#TDF2025
July 5, 2025 at 10:25 AM
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
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/...
He has invented revolutionary new technology for the delivery of booster vaccine doses in a single shot.
www.science.org/doi/10.1126/...
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.
www.science.org
June 25, 2025 at 7:02 PM
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/...
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
Also got to see our fearless leader, Renaud Lambiotte, collect his well-deserved Fellowship.
#NetSci2025
June 6, 2025 at 8:57 AM
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
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
We build up a theoretical and applied approach to use Hodge theory on graphs to study stochastic systems!
arxiv.org/pdf/2409.07479
#NetSci2025
June 4, 2025 at 2:58 PM
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
We build up a theoretical and applied approach to use Hodge theory on graphs to study stochastic systems!
arxiv.org/pdf/2409.07479
#NetSci2025
Reposted by Ramón Nartallo-Kaluarachchi
You won't believe your eyes!
In-person tickets open: The Deceived Brain: Coding and Illusion
Book free via: gres.hm/deceived-brain
Prof @alaingoriely.bsky.social* reveals how optical illusions can be modelled mathematically, shedding light on how our brains process information...
*also of @oxfordmathematics.bsky.social
Book free via: gres.hm/deceived-brain
Prof @alaingoriely.bsky.social* reveals how optical illusions can be modelled mathematically, shedding light on how our brains process information...
*also of @oxfordmathematics.bsky.social
June 2, 2025 at 12:27 PM
You won't believe your eyes!
Reposted by Ramón Nartallo-Kaluarachchi
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
arxiv.org/abs/2411.08201
1/10
May 27, 2025 at 4:42 PM
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
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
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
May 18, 2025 at 9:01 PM
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
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...
:)
'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...
:)
Ramon Nartallo-Kaluarachchi: Non-equilibrium steady-states, from diffusion to digraphs
YouTube video by Fresh from the ArXiv
www.youtube.com
May 15, 2025 at 8:36 AM
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...
:)
'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!
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!
April 17, 2025 at 11:21 AM
🚨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!
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!
Reposted by Ramón Nartallo-Kaluarachchi
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.
April 13, 2025 at 3:07 PM
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.
Reposted by Ramón Nartallo-Kaluarachchi
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...
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
April 8, 2025 at 4:51 PM
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...
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...
Reposted by Ramón Nartallo-Kaluarachchi
Modelling cerebrovascular pathology and the spread of amyloid beta in Alzheimer’s disease: royalsocietypublishing.org/doi/10.1098/... #ProcA #Alzheimers #biophysics
royalsocietypublishing.org
April 4, 2025 at 6:05 PM
Modelling cerebrovascular pathology and the spread of amyloid beta in Alzheimer’s disease: royalsocietypublishing.org/doi/10.1098/... #ProcA #Alzheimers #biophysics
Reposted by Ramón Nartallo-Kaluarachchi
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.
royalsocietypublishing.org/doi/epdf/10....
We identify situations where disease initiation can be caused by focal hypoperfusion following vascular injury.
April 2, 2025 at 5:30 PM
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.
royalsocietypublishing.org/doi/epdf/10....
We identify situations where disease initiation can be caused by focal hypoperfusion following vascular injury.