معرفی
James Hyde is an Assistant Professor in the Department of Mathematical Sciences at Binghamton University (SUNY), part of the Harpur College of Arts and Sciences. He holds a Ph.D. from the University of St. Andrews (2017) and joined Binghamton in 2024. His research focuses on geometric group theory, particularly groups of homeomorphisms, exploring properties such as simplicity, finite generation, finite presentation, and left-orderability. He investigates how these groups interact with geometric and topological structures, including their role in dynamical systems and renormalization processes.
Hyde’s work includes constructing novel examples of groups with unique combination properties, such as embedding ℚ into finitely presented groups or analyzing stabilizers in Higman-Thompson groups. His recent studies (2023–2025) address Boone-Higman embeddings, Ulam widths of infinite simple groups, and periodic homeomorphisms under renormalization. He teaches calculus and topology courses, including Math 226/227 (Integration Techniques and Infinite Series) and Math 565 (Topology Seminar).
No specific grants or awards are listed, but his research contributes to foundational questions in geometric group theory and topological dynamics. His work often intersects with algebraic structures and combinatorial methods, reflecting a broad expertise in abstract mathematical systems.
