Research and Publications
Research Experiences & Interests:
📊 Machine Learning/Statistics:
- Causal Inference and Machine Learning,
- Time-Series Models and Analysis,
- LLMs (Multi-Agent Systems, Interpretability, and Applications), and
- Mathematical/High-dimensional Statistics.
Differential Topology:
- Genericity, Transversality, and Applications.
♾️ Partial Differential Equations (PDEs):
- Hyperbolic PDEs and Conservation Laws: Analysis & Applications.
In Progress:
📋 Beyond Statistical Changepoint Detection: LLM Discovery of Semantic Changes in Time-Series Data
(submitted for a conference)
Tags: Mathematical Statistics, Statistical Learning, LLMs, Multi-agent Systems.
📋 ORACLE-VARX: Double Machine Learning with Confounding-Adjusted Causal Lag Detection in Financial Time-Series
(submitted for a conference)
Tags: Causal Machine Learning, Time Series Analysis.
📊 GitHub Repo.
📋 Macroscopic Traffic Flow Network Simulations for Wildfire Evacuation
Tags: Optimization, PDEs on Graphs, Numerical Analysis, Mathematical Modelling.
🚦 GitHub Repo.
📋 Generic Structural Stability for n x n Systems of Hyperbolic Conservation Laws
Tags: Analysis of PDEs, Differential Topology, Functional Analysis, Numerical Analysis.
Publications:
📜 Generic Structural Stability for 2 x 2 Systems of Hyperbolic Conservation Laws
with Andrea Bertozzi.
arXiv:2502.08998 (2025),, and accepted to SIAM Journal of Mathematical Analysis.
Tags: Analysis of PDEs, Differential Topology, Functional Analysis, 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.