Typo in acknowledgements
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\indent I would also like to acknowledge the unwavering support I have received from my lifelong friend, Arthur, whom I met in kindergarten, and has been by my side ever since (if you're not impressed, note that that includes adolescence).
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\indent I've often been asked why I came to Rome for my PhD. I met Giovanni Gallavotti in Paris, at a series of lectures he was giving on applying renormalization group techniques to classical mechanics problems, based on a reinterpretation of KAM theory. His outlook on science immediately resonated with me: studying real, physical phenomena, while understanding the underlying mathematical structure precisely and thoroughly. It was exactly what I was looking for. I came to Rome for the first six months of 2011, and worked with Alessandro Giuliani on the model of bilayer graphene discussed below. I adored the city, with its many ruins, delicious food and great (though capricious at times) weather. But most of all, I reveled in the methodology of the Roman Renormalization Group Group (I don't think anyone has ever called it that, but I like it!) (at the time, composed of Giuseppe Benfatto, Giovanni Gallavotti, Guido Gentile, Alessandro Giuliani, Vieri Mastropetro). Physics with convergent expansions! Endless, but {\rm explicit} computations that often bleed over from late afternoon into late night. Thorough discussions at the blackboard where the titles of ``student'' and ``professor'' dissolve into a flurry of ideas. And trees, so many trees!
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\indent I've often been asked why I came to Rome for my PhD. I met Giovanni Gallavotti in Paris, at a series of lectures he was giving on applying renormalization group techniques to classical mechanics problems, based on a reinterpretation of KAM theory. His outlook on science immediately resonated with me: studying real, physical phenomena, while understanding the underlying mathematical structure precisely and thoroughly. It was exactly what I was looking for. I came to Rome for the first six months of 2011, and worked with Alessandro Giuliani on the model of bilayer graphene discussed below. I adored the city, with its many ruins, delicious food and great (though capricious at times) weather. But most of all, I reveled in the methodology of the Roman Renormalization Group Group (I don't think anyone has ever called it that, but I like it!) (at the time, composed of Giuseppe Benfatto, Giovanni Gallavotti, Guido Gentile, Alessandro Giuliani, Vieri Mastropietro). Physics with convergent expansions! Endless, but {\rm explicit} computations that often bleed over from late afternoon into late night. Thorough discussions at the blackboard where the titles of ``student'' and ``professor'' dissolve into a flurry of ideas. And trees, so many trees!
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\indent When time came to decide on a PhD advisor, I asked Alessandro, and definitively moved to Rome. I have never looked back.
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