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Michael Atiyah is an Honorary Professor at the University of Edinburgh (UK), renowned for his groundbreaking work at the intersection of mathematics and theoretical physics. His lectures and research explore advanced geometric models to describe fundamental physical phenomena, including cosmology and atomic physics.
His research interests include applying differential geometry to fundamental physics, particularly through the Dirac operator to introduce relativistically invariant differential equations. He proposed modeling matter using 4-dimensional Riemannian manifolds, such as the standard 4-sphere for neutrinos, complex projective plane for neutrons, Taub-NUT manifold for electrons, and Atiyah-Hitchin manifold for protons. These models leverage conformal self-duality and Penrose twistor spaces for complex analysis.
In 2011, Atiyah collaborated with Greg Moore on a publication titled A Shifted View of Fundamental Physics, which investigates the quantization of stable fermion masses and cosmological constants. This work, part of the Surveys in Differential Geometry series, highlights his innovative approach to merging geometric analysis with physical theories.
His academic contributions are characterized by the use of SO(3) symmetry in modeling particles and refining the Skyrme model of baryons. Despite his emeritus status, Atiyah continues to influence fundamental physics through his geometric insights.
