• 深度学习求解PDE：深度学习与应用数学的结合

• 材料计算：材料性质的多尺度建模、分析、算法与仿真，包括材料力学、材料磁学以及材料电学

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代表性工作：
1. J. Chen, X. Chi, W. E, Z. Yang, Bridging Traditional and Machine Learning-based Algorithms for Solving PDEs: The Random Feature Method, Journal of Machine Learning, 1(2022), 268-298.
2. J. Chen, R. Du, Z. Ma, Z. Sun, L. Zhang, On the multiscale Landau-Lifshitz-Gilbert equation: Two-scale convergence and stability analysis, Multiscale Modeling & Simulation, 20(2022), 835-856.
3. J. Xu, Q. Ma, Y. Zhang, Y. Sun, Z. Fei, Q. Fan, B. Liu, J. Bai, Y. Yu, J. Chu, J. Chen, C. Wang, Yeast-derived nanoparticles remodel the immunosuppressive microenvironment in tumor and tumor-draining lymph nodes to suppress tumor growth, Nature Communications, 13(2022), 110.