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职业迁徙
个人简介
I've been at the University of Washington since 2015 as an associate professor in mathematics and the director of the Washington Experimental Mathematics Lab. My research investigates the fluid boundary between structure and randomness. We observe this every day: in one moment a flock of birds appears to be a disorganized rabble, in the next, it coalesces into a highly ordered winged squadron. The central theme of my research has been detecting this boundary (when it exists), but even more so, detecting the presence of structure in seemingly random systems, and vice-versa, detecting randomness in seemingly structured systems.
My research methodology is that of the mathematical field of dynamical systems, which can be broadly defined as the study of the time evolution of physical systems. My contributions to the field center around systems with deep connections to geometry and number theory, and in particular to developing and expanding fundamental analogies between the study of high-dimensional tilings (or lattices) and the study of low-dimensional dynamical systems.
My research methodology is that of the mathematical field of dynamical systems, which can be broadly defined as the study of the time evolution of physical systems. My contributions to the field center around systems with deep connections to geometry and number theory, and in particular to developing and expanding fundamental analogies between the study of high-dimensional tilings (or lattices) and the study of low-dimensional dynamical systems.
研究兴趣
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arxiv(2024)
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arxiv(2024)
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arxiv(2023)
arXiv (Cornell University) (2023)
arxiv(2022)
Arnold Mathematical Journalno. 3 (2022): 359-379
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