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History of the Discovery of Black Holes

The discovery of black holes is one of the greatest achievements of theoretical physics, since it first happened on paper as an inescapable consequence of Einstein’s theory of gravitation. A black hole remains one of the most enigmatic and counter-intuitive consequences of general relativity. Its discovery is a testament of the brilliance of the human mind and also a valuable example of how nonlinear and inconspicuous science can be. The theoretical discovery of those mysterious objects did not happen in a specific date, nor by a specific person. The development of the modern concept of black holes spans over a time frame of a hundred years and it was peppered with controversies and impressive breakthroughs. My goal is to understand when, why and how scientists predicted, searched and found black holes in space.  

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Mathematical Aspects of Quantum Cosmology

The tricky task of unifying the theory of general relativity with quantum theories is challenging. Among the many suggestions to solve this problem, quantum gravity is a strong contender, investigating how quantum effects affect space-time geometry in small scales. When the universe itself was compressed in a tiny volume in early times, those effects were relevant to the whole cosmos, and thus important to understand the origin and initial evolution of our universe. Quantum cosmology is the investigation of this primordial period within the framework of quantum gravity. My work is to verify the mathematical foundations and cosmological scenarios of those types of models. I am particularly interested in different quantization methods, including the canonical, De Broglie-Bohm and covariant affine quantization.