Michael Nussbaum

Michael Nussbaum is a Professor of Mathematics at Cornell University, affiliated with the College of Arts and Sciences. He holds a Ph.D. (1979) and Dr. Sc. (1990) from the Academy of Sciences Berlin (Germany). His research focuses on quantum statistics, applying mathematical statistics to analyze quantum experiments and developing asymptotic methods for hypothesis testing, equivalence theory of statistical experiments, and nonparametric models. Key contributions include work on quantum Chernoff bounds, Gaussian approximation of quantum models, and asymptotic equivalence between statistical experiments.

Recent research emphasizes quantum hypothesis testing, low-rank quantum state estimation, and asymptotic equivalence with quantum Gaussian white noise. Supported by an NSF Grant (DMS-1915884), his work bridges operator algebras, quantum information, and noncommutative probability. Publications span foundational topics like nonparametric regression, spectral density estimation, and functional empirical processes.

He teaches courses such as Statistical Theory and Application in the Real World and supervises graduate research. His lab explores interdisciplinary applications of asymptotic statistical methods in quantum engineering and communication technologies.