Theses  Applied Mathematics and Theoretical Physics
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Large Gauge Transformations and Black Hole Entropy
(20200215)Diffeomorphisms in general relativity can act nontrivially on the boundary of spacetimes. Of particular importance are the $\textit{BMS group}$ of transformations, originally found by Bondi, Metzner, van der Burg and ... 
Multifield inflation in random potentials and the rapidturn limit
(20200125)Cosmological inflation is a simple, and observationally wellsupported, mechanism for generating a flat, spatially homogeneous universe with the statistical correlations in the cosmic microwave background we see today. ... 
Topological effects in particle physics phenomenology
(20200125)This thesis is devoted to the study of topological effects in quantum field theories, with a particular focus on phenomenological applications. We begin by deriving a general classification of topological terms appearing ... 
Anisotropic nonlinear PDE models and dynamical systems in biology
(20200718)This thesis deals with the analysis and numerical simulation of anisotropic nonlinear partial differential equations (PDEs) and dynamical systems in biology. It is divided into two parts, motivated by the simulation of ...