I am a postdoctoral researcher working with Dr. Delle Monache's research group at UC Berkeley. I received my Ph.D. and Master's degrees in system engineering and pure mathematics focused on "Stochastic Analysis of Optimal Velocity Dynamical Model" from University of Illinois at Urbana-Champaign (UIUC). Additionally, I hold a master's degree in optimization from Sharif University of Technology.
My research agenda revolves around abstract mathematical analysis and rigorous numerical studies of problems arising in science and engineering. As one particular application, I am interested in an in-depth analysis of physical systems such as the fluid behavior of traffic dynamics in the context of intelligent transportation systems.
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The theoretical objective of my research is the ambition to conduct a thorough and rigorous mathematical analysis of the underlying physical and cyber-physical complex systems. I am interested in abstract analysis of PDEs, dynamic systems, and control mainly in the weak sense, i.e., when the solution is defined in proper functional and topological vector spaces
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From a practical perspective, my interest lies in validating the analytical results, through meticulous numerical analysis and analysis of collected real-world data. In particular, I am deeply committed to translating theoretical insights into practical solutions with tangible real-world significance (read more here).
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Through a multidisciplinary approach, my research incorporates rigorous mathematical analysis, sophisticated computational modeling, and comprehensive data analysis. These methods are geared towards advancing our comprehension of physical and engineering phenomena.
