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Zihua Guo is an ARC Future Fellow at Monash University with expertise in harmonic analysis and partial differential equations (PDEs). His research focuses on the interplay between harmonic analysis and nonlinear dispersive equations, particularly those arising in mathematical physics. His work involves studying low-regularity local and global well-posedness theories, long-time behaviors, and stability of solutions. Guo emphasizes the significance of dispersive PDEs in both theoretical and applied contexts, contributing to the development of new methods in harmonic analysis. His supervision interests are targeted towards PhD projects related to these interdisciplinary areas, advocating for candidates with a solid background in mathematics and relevant qualifications. He has numerous ongoing projects that analyze the long-time dynamics of Schrödinger operators and disseminate insights into nonlinear harmonic analysis.
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