Unit

Laboratory for Topology and Neuroscience

Laboratory

Summary

The Laboratory for Topology and Neuroscience at EPFL focuses on algebraic topology and its applications, particularly in the field of neuroscience. Their research group specializes in homotopy theory and category theory, with a strong emphasis on pure mathematics. The laboratory collaborates with experts in various disciplines to explore the intersection of topological data analysis, machine learning, and neural networks, with a specific interest in applications to neuroscience and biology. The unit hosts a diverse team of researchers, including scientists, doctoral assistants, and postdocs, who work on projects ranging from computational synthesis of cortical dendritic morphologies to the dynamics of CLIMP-63 S-acylation control on ER morphology.

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Related people (4)

Bjørnar Gullikstad Hem

Personal website: https://bjornarhem.no

Markus Kirolos Youssef

Kathryn Hess Bellwald

Kathryn Hess Bellwald received her PhD from MIT in 1989 and held positions at the universities of Stockholm, Nice, and Toronto before moving to the EPFL.Her research focuses on algebraic topology and its applications, primarily in the life sciences, but also in materials science. She has published extensively on topics in pure algebraic topology including homotopy theory, operad theory, and algebraic K-theory. On the applied side, she has elaborated methods based on topological data analysis for high-throughput screening of nanoporous crystalline materials, classification and synthesis of neuron morphologies, and classification of neuronal network dynamics. She has also developed and applied innovative topological approaches to network theory, leading to a powerful, parameter-free mathematical framework relating the activity of a neural network to its underlying structure, both locally and globally.In 2016 she was elected to Swiss Academy of Engineering Sciences and was named a fellow of the American Mathematical Society and a distinguished speaker of the European Mathematical Society in 2017. In 2021 she gave an invited Public Lecture at the European Congress of Mathematicians. She has won several teaching prizes at EPFL, including the Crédit Suisse teaching prize and the Polysphère d’Or.

Related publications (28)

Laboratory for Topology and Neuroscience

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Cochains are all you need

Conditional Flatness, Fiberwise Localizations, And Admissible Reflections

Relative plus constructions