Symmetries
Symmetries
Georgios Exarchakis
The University of Bath invites applications for a fully-funded PhD position in Machine Learning, as part of the prestigious URSA competition. This project focuses on developing interpretable machine learning methods for high-dimensional data, with an emphasis on recognizing symmetries and incorporating them into efficient, flexible algorithms. This PhD position offers the opportunity to work within a leading research environment, using state-of-the-art tools such as TensorFlow, PyTorch, and Scikit-Learn. The research outcomes have potential applications in diverse fields, and students are encouraged to bring creative and interdisciplinary approaches to problem-solving.
Asymmetric signaling across the hierarchy of cytoarchitecture within the human connectome
Cortical variations in cytoarchitecture form a sensory-fugal axis that shapes regional profiles of extrinsic connectivity and is thought to guide signal propagation and integration across the cortical hierarchy. While neuroimaging work has shown that this axis constrains local properties of the human connectome, it remains unclear whether it also shapes the asymmetric signaling that arises from higher-order topology. Here, we used network control theory to examine the amount of energy required to propagate dynamics across the sensory-fugal axis. Our results revealed an asymmetry in this energy, indicating that bottom-up transitions were easier to complete compared to top-down. Supporting analyses demonstrated that asymmetries were underpinned by a connectome topology that is wired to support efficient bottom-up signaling. Lastly, we found that asymmetries correlated with differences in communicability and intrinsic neuronal time scales and lessened throughout youth. Our results show that cortical variation in cytoarchitecture may guide the formation of macroscopic connectome topology.
Odd dynamics of living chiral crystals
The emergent dynamics exhibited by collections of living organisms often shows signatures of symmetries that are broken at the single-organism level. At the same time, organism development itself encompasses a well-coordinated sequence of symmetry breaking events that successively transform a single, nearly isotropic cell into an animal with well-defined body axis and various anatomical asymmetries. Combining these key aspects of collective phenomena and embryonic development, we describe here the spontaneous formation of hydrodynamically stabilized active crystals made of hundreds of starfish embryos that gather during early development near fluid surfaces. We describe a minimal hydrodynamic theory that is fully parameterized by experimental measurements of microscopic interactions among embryos. Using this theory, we can quantitatively describe the stability, formation and rotation of crystals and rationalize the emergence of mechanical properties that carry signatures of an odd elastic material. Our work thereby quantitatively connects developmental symmetry breaking events on the single-embryo level with remarkable macroscopic material properties of a novel living chiral crystal system.
Agency through Physical Lenses
I will offer a broad-brush account of what explains the emergence of agents from a physics perspective, what sorts of conditions have to be in place for them to arise, and the essential features of agents when they are viewed through the lenses of physics. One implication will be a tight link to informational asymmetries associated with the thermodynamic gradient. Another will be a reversal of the direction of explanation from the one that is usually assumed in physical discussions. In in an evolved system, while it is true in some sense that the macroscopic behavior is the way it is because of the low-level dynamics, there is another sense in which the low-level dynamics is the way that it is because of the high-level behavior it supports. (More precisely and accurately, the constraints on the configuration of its components that define system as the kind of system it is are the way they are to exploit the low-level dynamics to produce the emergent behavior.) Another will be some insight into what might make human agency special.
Defining new multimodal neuroimaging marker for grey matter characterization
The human cortical ribbon varies during the lifespan, from childhood to senescence. To study the effects of genetic and environmental factors on these dynamics, one needs to measure specific phenotypes (cortical volume, surface area, thickness, new neuroimaging phenotypes such as intracortical myelination or multimodal ones based on their combination, or their asymmetries) that characterize the cerebral grey matter accurately
Symmetries and continuous attractors in disordered neural circuits
COSYNE 2025
The asymmetric brain: Utilizing hyper-gravity to manipulate developmental symmetries
FENS Forum 2024
Fibration symmetries reveal neuronal synchronizations in the C. elegans connectome
FENS Forum 2024