Research and Publications

Research Interests:

♾️ Partial Differential Equations (PDEs):

• Systems of Hyperbolic Conservation Laws - Modelling, Mathematical Analysis, and Numerical Analysis.
• PDEs on Graphs: Modelling, Simulating, and Optimizing Continuum Traffic Flow Networks.

📊 Statistics and Machine Learning.

Publications:

📜 General Structural Stability for 2 x 2 Systems of Hyperbolic Conservation Laws
       with Andrea Bertozzi.
       arXiv:2502.08998 (2025).
       Tags: Analysis of PDEs, Differential Topology, Numerical Analysis, Fluid Dynamics.

📜 A Proof of Weak Cosmic Censorship Conjecture for the Spherically Symmetric Einstein-Maxwell-Charged Scalar Field System
       with Xinliang An.
       arXiv:2402.16250 (2024).
       Tags: Analysis of PDEs, General Relativity.

📜 Regularization of Complex Langevin Method
       with Zhenning Cai and Yang Kuang.
       Phys. Rev. D 105, 014508 (2022).
       Tags: Numerical Analysis, Statistics, Quantum Mechanics.

📜 Hierarchical Bayesian Thermonuclear Rate for 7Be(n,p)7Li Big Bang Nucleosynthesis Reactions
       with Rafael S de Souza, Alain Coc, and Christian Iliadis.
       The Astrophysical Journal 894, 132 (2020).
       Tags: Bayesian Statistics, Astrophysics.

You can access my Google Scholar here.