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Michael Aizenman is a Professor of Physics and Mathematics at Princeton University. His research focuses on mathematical analysis related to phenomena in statistical quantum physics and modern probability theory analysis. He finds a mix of perspectives stimulating and enjoys observing how different fields enrich each other through contacts. His recent research areas include quantum spin chains, critical phenomena in statistical mechanics, φ4 field theory, and the dynamics of random operators. Aizenman's work often explores the critical behavior of systems, particularly in relation to disorder, and utilizes rigorous methods to analyze important aspects of critical behavior in various situations, such as stochastic geometric properties. His research also addresses phase transitions and quantum spectra, demonstrating a recurring theme of random geometric structures influencing long-distance correlations. Aizenman's tools for analyzing phenomena include those developed for studying Anderson localization and conditions for resonant tunneling in modeled tree graphs, revealing unexpected results in the context of delocalization.
GRE scores are not accepted. Ph.D. is the primary degree; students are not required to hold an M.S.E. prior to admission.