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Fabrice Baudoin's research focuses on stochastic methods utilized to understand geometric analytic structures. He employs techniques from diffusion processes, particularly heat kernels, to derive functional inequalities on Lie groups, manifolds, and fractal spaces. These inequalities provide new insights, facilitating the definition of novel concepts related to curvature bounds. Baudoin is also interested in calculating exact probability distributions for functionals arising from Brownian motion in homogeneous and matrix spaces. His teaching spans a variety of undergraduate and graduate topics, with lecture notes available on his blog.
Aarhus University • Aarhus C, Denmark
Teaching various undergraduate and graduate courses in mathematics and conducting research in stochastic methods.
Department of Computer Science offers tracks in Software Efficiency, Cryptography, and Data Science.