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As a professor of mathematics at Imperial College London and at EPFL - Swiss Federal Institute of Technology Lausanne, I specialise in stochastic analysis. My research ranges from evolution equations to stochastic processes on manifolds, addressing current challenges in fluctuation problems, coarse curvatures, multi-scale equations, and non-Markovian dynamics with long-range correlations.  We are committed not only to unveiling new insights into the complex behaviours of stochastic dynamic systems but also to advancing theoretical studies of mathematical models that address real-world problems.