With 132 participants, it was the first event of this scale to unite the research communities across all three fields – building bridges and allowing for new collaboration between areas that have traditionally developed independently. (2/4)

⚡ A favorite among participants: the lightning sessions, offering early-career researchers a stage to share ideas and connect.

The event was organized by Anna Wienhard, Freya Jensen, Levin Maier, Diaaeldin Taha, and Michael Bleher. (4/4)

🤝 Jointly organized by Max-Planck-Institut für Mathematik in den Naturwissenschaften and STRUCTURES Cluster of Excellence Heidelberg, the workshop featured inspiring keynote talks, expert presentations, and contributions from industry partners like DeepMind, Deepshore, and Isomorphic Labs. (3/4)

Recently, the #GTML2025 workshop in Leipzig brought together researchers from around the globe for a full week of exchange at the intersection of geometry, topology, and machine learning. (1/4) #Mathematics #Geometry #Topology #MachineLearning #Science
structures.uni-heidelberg.de/news.php?sho...

Kudos to Cyril & Alex (@alexandr.bsky.social) for leading this! Glad to have been part of it. This is a sharp field guide to low-dimensional embeddings in the sciences. TL;DR: great for exploration; mind trade-offs; show your working; and run quantitative checks to validate what you see (& infer!)

Last year I met a bunch of great researchers who work with high-dimensional data at a Dagstuhl seminar. This week we put out a preprint about the history and philosophy of low-dimensional embedding methods, their applications, their challenges, and their possible future arxiv.org/abs/2508.15929

New blog post about an exploratory project that’s been stuck in my head for a while.

Directed simplicial complexes from coherent counterfactual ablations ... as a way to trace superpostions of distributed feature representations on polysemantic neurons in artificial neural nets.

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Join us for the kick-off meeting of the Persistent Seminar tomorrow at 2pm, with an inaugural talk by Freya Jensen (IWR) on "Persistent Spectral Sequences and Where to Find Them"

#heidelberg #STRUCTURES #Mathematics #Topology #Persistent #Homology #Computation

Register now for the Workshop on Geometry, Topology & Machine Learning (Nov 10-14, 2025), jointly organized by MPI-MIS & STRUCTURES. The event brings together two rapidly evolving fields central to modern ma­chine learning. (1/4)
www.mis.mpg.de/events/serie...
#science #topology #geometry #learning

Heard about TDA and want to learn more? Lots of cool videos here from the recent AATRN tutorial-a-thon (including a fun little clip from someone you might recognise 👀)

youtube.com/playlist?lis...

In our series "YRC in", we take you along on the journeys of our #EarlyCareerScientists attending scientific events with STRUCTURES support. Last September, Michael Bleher (@subthaumic.bsky.social) and Freya Jensen attended the 4th Workshop on Computational Persistence in Graz, Austria. (1/3)

I've finally uploaded the remaining two parts of my PhD thesis to the arXiv! These papers hadn’t been on there before but are now available as self-contained articles for easier reference.

They’re about gauge theory, knot invariants, and a conjecture by Witten.

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