Daniel Freeman

Dr. Daniel Freeman is an Associate Professor in the Department of Mathematics and Statistics at Saint Louis University, located within the College of Arts and Sciences. His research focuses on functional analysis, particularly in areas such as frame theory, Banach spaces, and phase retrieval. He contributes to both theoretical and applied aspects of these fields, with a strong emphasis on advancing foundational concepts in operator theory and their applications.

Dr. Freeman's research interests are centered in mathematical analysis, with a primary focus on functional analysis and its applications. His work explores topics including Schauder frames, phase retrieval in function spaces, and the structure of Banach spaces. He investigates properties such as stability, discretization of norms, and the interplay between frame theory and operator ideals. His studies often address foundational questions in functional analysis while also considering practical implications in signal processing and numerical methods.

His recent publications highlight contributions to frame theory, phase retrieval, and Banach space analysis. Notable trends include advancements in the stability of phase retrieval methods, the development of Schauder frames and their properties, and explorations into the discretization of norms in Lp spaces. His work frequently bridges theoretical insights with applied problems, such as the recovery of vectors from saturated measurements and the analysis of infinite-dimensional subspaces.

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