Partial Differential Equations
Well-posedness, regularity, nonlinear dynamics, conservation laws, and PDE-based models of interacting systems.
Applied Mathematics · Control · Learning
Mathematics and learning for complex dynamical systems.
I work at the intersection of partial differential equations, optimal control, dynamical systems, and machine learning, with an emphasis on mathematically principled methods for modeling, decision-making, and control.
About
Research driven by structure, dynamics, and decisions.
My research develops analysis and computational methods for systems governed by differential equations. I am particularly interested in how PDE theory, optimal control, and modern learning methods can reinforce one another: analysis provides structure and guarantees, control provides decision-making principles, and learning provides flexible data-driven approximations.
Research
Core research directions
These are initial themes; we can later replace them with your exact research statements and current projects.
Optimal Control
Control of dynamical systems, optimization under differential constraints, feedback design, and mean-field or continuum control.
Learning & Scientific ML
Learning control policies and reduced models while preserving mathematical structure, robustness, and interpretability.
Projects
Current themes and collaborations
PDE + Control
Control of distributed and interacting systems
Analytical and computational methods for systems whose state evolves through differential equations at multiple scales.
Learning + Dynamics
Structure-aware learning for dynamical systems
Learning models and policies that leverage invariants, PDE structure, physical constraints, and control-theoretic insights.
Teaching & Mentoring
Courses, notes, and student projects
Optimal ControlCourse / lecture notes placeholder
Partial Differential EquationsCourse / seminar placeholder
Scientific Machine LearningStudent projects / tutorials placeholder
Contact
Interested in PDEs, control, or learning?
I welcome discussions about research collaborations, seminars, workshops, and student projects.
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