# Research and Publications

**(Upcoming) Research Interests:**

♾️ Partial Differential Equations (PDEs):

- Analysis and Numerical Methods for PDEs and Systems of Hyperbolic Conservation Laws,
- Applications of Systems of Hyperbolic Conservation Laws and Hyperbolic Balance Laws to Fluid Dynamics and Traffic Flow Networks,
- Finite-time Singularities arising from PDEs,
- Mathematical General Relativity (on the Weak Cosmic Censorship Conjecture).

📊 Statistics and Machine Learning:

- Approximation Theory in Machine Learning,
- Physics-Informed Machine Learning and Learning Hidden Systems of Conservation Laws.

**Publications:**

📜 **Regularization of Complex Langevin Method**

with Zhenning Cai and Yang Kuang.

*Phys. Rev. D* 105, 014508 (2022).

Tags: Computational Physics, Numerical Analysis.

📜 **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.

You can access my google scholar here.