Michael Bleher
subthaumic.bsky.social
Michael Bleher
@subthaumic.bsky.social
43 followers 59 following 7 posts
Postdoc @structures_hd @UniHeidelberg. Physics, Maths, and Science. 🔗 michael.bleher.me
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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
Reposted by Michael Bleher
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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Reposted by Michael Bleher
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
Surely it's "A monad in X is just a monoid in the category of endofunctors of X, with product × replaced by composition of endofunctors and unit set by the identity endofunctor."
Reposted by Michael Bleher
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
Reposted by Michael Bleher
Reposted by Michael Bleher
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)
The second article:

Looks at adiabatic solutions of the Haydys-Witten equations and relates them to paths in the moduli space of EBE monopoles. This suggests a relation between Haydys-Witten instanton Floer homology and symplectic Khovanov homology.

https://arxiv.org/abs/2501.01365
The first article:

Introduces a one-parameter family of instanton Floer homology groups for four-manifolds, using the θ-Kapustin-Witten and Haydys-Witten equations. A conjecture by Witten links this to Khovanov homology for knots.

https://arxiv.org/abs/2412.13285

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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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