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个人简介
I am a mathematician interested in basic and applied research questions that arise in the contexts of data science, nonlinear partial differential equations (PDEs), and scientific machine learning.
Lately, my focus is primarily on developing structure-informed numerical methods for scientific applications. Doing this generally involves identifying or reasoning about some abstract mathematical structure which is important for a particular phenomenon, formulating a smart discretization (based on e.g. a finite element or artificial neural network backbone) which takes this structure into account, and writing mathematical software in Python or C++ which implements a proposed approach. Over time, I’ve found that my preferred flavor of research problem leaves ample opportunity for geometric ideas, satisfying visuals, and punchy algebraic arguments which are characteristic of my personal style.
Lately, my focus is primarily on developing structure-informed numerical methods for scientific applications. Doing this generally involves identifying or reasoning about some abstract mathematical structure which is important for a particular phenomenon, formulating a smart discretization (based on e.g. a finite element or artificial neural network backbone) which takes this structure into account, and writing mathematical software in Python or C++ which implements a proposed approach. Over time, I’ve found that my preferred flavor of research problem leaves ample opportunity for geometric ideas, satisfying visuals, and punchy algebraic arguments which are characteristic of my personal style.
研究兴趣
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arxiv(2024)
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Differential Geometry and its Applications (2023): 101971-101971
ANALYSIS AND APPLICATIONSno. 06 (2023): 1533-1559
CoRR (2023): 116334-116334
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INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2020AIP Conference Proceedings (2022)
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D-Core
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