Research and Publications

Research Experiences & Interests:

📊 Statistics/Machine Learning:

• Causal Machine Learning, Time-Series Models, and Mathematical Statistics.
• LLMs and Multi-agent systems.

Differential Topology:

• Genericity, Transversality, and Applications.

♾️ Partial Differential Equations (PDEs):

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

Publications:

📜 Generic 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.
       📋 Slides.

📜 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.