基本信息
浏览量:76
职业迁徙
个人简介
Research
My research is in the broad area of Discrete Mathematics, including probabilistic combinatorics, combinatorial game theory, graph theory, and discrete geometry.
My recent focus has been on the Abelian sandpile, a simple deterministic diffusion process on the lattice which produces striking fractal limits. My paper with Charles Smart on the convergence of the Abelian sandpile gives a new paradigm—based on the set of quadratic growths attainable by integer superharmonic functions on the integer lattice—for understanding the sandpile's limiting process.
Grants,Fellowships, and Awards
Kavli Fellow
NSF Grant DMS-1700365 (2017–2020)
Sloan Fellowship (2016–2018)
NSF Grant DMS-1363136 (2014–2017)
NSF Postdoctoral Research Fellowship (2010–2013)
My research is in the broad area of Discrete Mathematics, including probabilistic combinatorics, combinatorial game theory, graph theory, and discrete geometry.
My recent focus has been on the Abelian sandpile, a simple deterministic diffusion process on the lattice which produces striking fractal limits. My paper with Charles Smart on the convergence of the Abelian sandpile gives a new paradigm—based on the set of quadratic growths attainable by integer superharmonic functions on the integer lattice—for understanding the sandpile's limiting process.
Grants,Fellowships, and Awards
Kavli Fellow
NSF Grant DMS-1700365 (2017–2020)
Sloan Fellowship (2016–2018)
NSF Grant DMS-1363136 (2014–2017)
NSF Postdoctoral Research Fellowship (2010–2013)
研究兴趣
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arxiv(2023)
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CoRR (2023)
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CoRR (2023)
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SODApp.3317-3329, (2023)
arxiv(2023)
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J. Graph Theoryno. 1 (2023): 87-103
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arxiv(2023)
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