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Area(s) of Expertise

- Nonlinear Partial Differential Equations
- Optimal Control, Differential Games, and Mean Field Games
- Nonsmooth Analysis and Geometric Measure Theory.

Publications

• Generic solutions to controlled balance laws , Journal of Hyperbolic Differential Equations (2026)
• Characterizing the influence of skin pigmentation on pulse oximetry , Biophotonics discovery. (2025)
• Hausdorff measure of zeros of nontrivial multivariable polynomials , Bulletin des Sciences Mathématiques (2025)
• On the structure of the value function of optimal exit time problems , Calculus of Variations and Partial Differential Equations (2025)
• Generic properties of conjugate points in optimal control problems , Mathematical Control and Related Fields (2024)
• Generic properties of solutions to Hamilton-Jacobi equations , The 42th Southeastern-Atlantic Regional Conference on Differential Equations (2024)
• Piecewise regular solutions to scalar balance laws with singular nonlocal sources , Journal of Differential Equations (2024)
• A lower bound on the quantitative version of the transversality theorem , Journal of Mathematical Analysis and Applications (2023)
• A quantitative version of the transversality theorem , Communications in Mathematical Sciences (2023)
• Control and Optimization: new developments and applications , 13th AIMS Conference on Dynamical Systems (2023)

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