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Yann Bernard holds a B.S. in Mathematics from the University of Michigan, obtained in 2000, and a Ph.D. in Mathematics from the same institution in 2006. He has held a research post-doc position at ETH Zurich from 2006 to 2009 and again from 2014 to 2015, as well as a research fellow position at Albert-Ludwigs-Universitaet Freiburg in Germany from 2009 to 2014. His research focuses on analyzing problems involving geometric elastic surfaces. This includes studying energy functions related to geometric quantities, such as minimizing mean curvature surfaces, and the critical points that satisfy nonlinear systems of fourth-order elliptic partial differential equations (PDEs). He is particularly interested in the analytical properties of solutions to these systems, including regularity, asymptotic behavior near singularities, and compactness of sequences of solutions. His expertise covers functional analysis, harmonic analysis, geometric analysis, elliptic and parabolic PDEs, and variational calculus. Bernard is actively engaged in collaborations in various research areas, demonstrating a commitment to advancing the field of mathematics through both theoretical and applied frameworks.
Monash University • Melbourne, Australia
Teaching and research in the field of mathematics, focusing on geometric problems and PDEs.
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