Samuel Eckmann

@samueleckmann.bsky.social

Computational neuroscientist, currently at the Sainsbury Wellcome Centre/Gatsby Unit in London. Interested in neural circuits, E-I balance, and biological learning → http://samueleckmann.github.io

The field of mathematics is being devastated in front of our eyes. For neuroscience, experimentalists may be safe, but how long until the AI-research wave takes over our computational/theoretical neuroscience? Is there any reason they can't? They can code, they can do maths. They know neurobiology

Zach Weinersmith@zachweinersmith.bsky.social · 6d ago

OpenAI just blooped hundreds of proofs and counterexamples to open problems: github.com/openai/math/... Boggling.

"The first rule of the Intuition Club is: you don’t talk about the Intuition Club. The second rule is, if you really want to talk about intuition, make it sound casual and accessory, because we ain’t the psychology department."

Natalie Christie Peluso 🧠@nataliepeluso.com · 4mo ago

While this essay is centred on mathematics, the gist is the same for any human conceptual thought facing AI Intelligence is process, path-walking, culture, collective, accretive #neuroskyence davidbessis.substack.com/p/the-fall-o...

to tldr the drama for humans if nobody has: someone, who is a good mathematician working with other mathematicians and using LLMs, appears to have mostly solved Navier-Stokes. he then got forced to go public early because openai thought they could scoop him and threaten his career he has tenure.

Happy to share our latest work, out today! We show that spatial representations and their dynamics differ across anatomical compartments of hippocampal CA3, and that these differences can be explained by the level of recurrent connectivity in each compartment www.sciencedirect.com/science/arti...

Recurrent connectivity shapes spatial coding in hippocampal CA3 subregions

Stable and flexible neural representations of space in the hippocampus are crucial for navigating complex environments, yet how they emerge from the u…

sciencedirect.com

Our work on goal-directed theta sweeps is out! We found two different types of theta sweeps in the rat hippocampus. During random foraging, left-right alternating sweeps dominated (Vollan, 25). However, during memory-guided navigation sweeps pointing to hidden goal locations emerged with learning.

New paper from Ulanovsky's group: With brain recordings from🦇 flying in a 200m tunnel, the group discovered that place cells of CA1 exhibit dense spatial coding, i.e., multiple place fields, and cells of CA3 exhibit ultrasparse coding, i.e., one place field. www.nature.com/articles/s41...

Sparse-to-dense coding transformation between hippocampal areas CA3 and CA1 - Nature

The hippocampus exhibits a CA3-to-CA1 coding transformation that combines fast learning with an efficient, compressed neural code.

nature.com

10. As AI improves, it will automate more of what we used to do manually. We may see two publication ecosystems: one written by Agents for Agents, and one written for humans. Humans’ role may shift to choosing the questions, judging the evidence, and deciding what matters.

Nicely contrary to how I'd thought this worked: disrupting theta-timescale spiking impairs learning but leaves hippocampal replay intact. Suggests replay doesn't need clean theta sequences during behaviour to form. https://doi.org/10.1101/2025.09.15.675587

I am looking for a theory/computational POSTDOC position in EU or east coast US. I am interested in how learning and plasticity shape population dynamics & representational geometries & how these changes are reflected in behavior. If you are at #COSYNE2026 & interested, hit me up in Whova, not here