Matei Machedon

Matei Machedon is a Professor in the Mathematics Department at the University of Maryland, where he teaches courses including Math 411 and Math 630 (scheduled for Fall 2025). His academic work centers on mathematical physics with strong ties to quantum mechanics and dispersive partial differential equations.

His research interests focus on the mathematical foundations of quantum many-body systems, particularly Gross-Pitaevskii hierarchies, mean field approximations for interacting bosons, and harmonic analysis. Key investigations include pair excitations in Bose-Einstein condensates, Hartree-Fock-Bogoliubov systems, and L^p collapsing estimates in dispersive equations.

Analysis of his recent publications (2017-2021) reveals a concentrated effort on developing uniform-in-N estimates for bosonic systems, with significant collaboration with M. Grillakis. His work bridges rigorous PDE analysis with quantum physics applications, showing progression from foundational Gross-Pitaevskii studies toward refined second-order corrections and global well-posedness results.