Andrea Bertozzi, Nadia Drenska, Matt Thorpe, and I have guest edited a theme issue on “Partial differential equations in data science” in the Philosophical Transactions of the Royal Society A. Take a look: royalsocietypublishing.org/toc/rsta/202... @royalsociety.org @royalsocietypublishing.org

#Oberwolfach: every mathematician’s happy place

Exciting news! 😊 Best of luck for the election, Master!

A few years ago, Björn Sprungk and I had written a contribution towards the “Snapshots of Modern Mathematics from #Oberwolfach” (publications.mfo.de/handle/mfo/3...). Once in a while a collection of snapshots is published in a volume. I have received my copy today. 😊

Why do people call it _adaptive MCMC_ instead of - CMC - “M”CMC - \hat{M}CMC - M😉CMC

Please find below the announcement for the 2nd RSS/Turing Workshop on Gradient Flows for Sampling, Inference, and Learning (I am a speaker ☺️)

Earlier today I gave my first talk for 2025 — in the Applied Mathematics Seminar at the University of Glasgow! Great audience and nice discussions afterwards. 😊

Did you know that Schengen is a small village in Luxembourg? It is right at the French-German-Luxembourgish trijunction. I grew up nearby and I can assure you that it is my favourite border to cross. See you in 2025! ☺️

Stationary Gaussian processes are often inappropriate as priors in Bayesian image reconstruction. When using non-stationary priors, the non-stationarity needs to be carefully estimated. New preprint (with Aretha L. Teckentrup and Simon Urbainczyk) arxiv.org/abs/2412.10248

Overleaf is down. What was the last thing you were writing about on there? I‘ll start: the K-Means method

At last year‘s Edinburgh Science Festival, we organised a ‚Mathematics Showdown‘: five PhD students give engaging research talks for a general audience, the audience votes for a winner. Here are the talks:

Markovian #Meme.

Open PhD position Anna Scaife and I are looking for a PhD student interested in analysing astronomical images using modern physics-on-graphs-based machine learning methods. The position is within the UKRI-CDT AI in Decision Making for Complex Systems. Please share with potential candidates! 😊

Me talking to my algorithm… #meme

Discretisation memes! 😊

I need to slowly move all my #mathematics #memes to the #mathsky. Let’s start with _Tolkien and convergence to stationarity_.

A few weeks ago, my student Alix Leroy and I were visiting Siemens Energy in Berlin for #knowledgeexchange and a guided tour around their production facilities. 😊

Say, you discretise an ODE with forward Euler choosing iid exponentially distributed stepsizes and linearly interpolate between discretisation points. Then, your interpolated path can be written as a continuous-time Markov process. An analysis of this Markov process: arxiv.org/abs/2408.01409

Finding the Lyapunov function you are looking for = finding happiness. 😊

Ever felt insecure about your own work? You are not alone. Gauss in a letter to Bessel: “When I am new to a subject, I distrust my own notions - especially if they contradict Laplace.” (from W. Ahrens: “Scherz und Ernst in der Mathematik”, Teubner, Leipzig 1904.)

Hi #mathsky and everyone! My name is Jonas, I do applied maths for living — usually solving problems that concern data, uncertainties, or both. I am based at the University of Manchester, UK.