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The Medal of the Erwin Schrödinger Institute for Mathematics and Physics for the year 2024 is awarded to Piotr T. Chruściel, Professor at the Faculty of Physics of the University of Vienna. Professor Chruściel is honoured for his original and influential contributions to many areas in the field of Mathematical Relativity, including the mathematical description of black holes, the initial value problem for the Einstein equations, and aspects of current physical interest, like the influence of weak gravitational fields on the propagation of photonic states in dielectric wave-guides. He and his co-authors obtained deep new insights by combining sophisticated methods from differential geometry, topology and partial differential equations. Outstanding examples are Chruściel's work on the concept of mass, on the structure of initial data sets, as well as his seminal contributions to Lorentzian geometry of non-differentiable metrics.