William Vandenberghe

The University of Texas at Dallas is seeking a full-time Postdoctoral Research Associate to join a project focused on developing a rigorous mathematical framework for quantum mechanics. The position centers on advancing mathematical theory in areas such as functional analysis, complex analysis, spectral theory, and partial differential equations, with additional interest in applications to number theory. The research aims to address foundational issues in quantum mechanics, particularly where traditional Hilbert space methods are insufficient, such as non-compact domains or singular potentials. The project will explore the use of tempered distributions and the nuclear spectral theorem within the context of the Schrodinger equation, striving to create a framework that is both mathematically rigorous and accessible to physicists. Applications to open problems in number theory, including the Dirichlet divisor problem and the Riemann hypothesis, are also of interest. The successful candidate will have weekly meetings with Professor William Vandenberghe to discuss research progress and new directions. Additional opportunities include participating in research related to electron transport at the nanoscale (physics, materials science, electrical engineering), supervising Ph.D. students, and teaching mathematics to undergraduate engineering students. The University of Texas at Dallas is a leading research institution with a strong commitment to science and engineering. No specific funding details are provided, and applicants should hold a Ph.D. in mathematics, physics, or a related field, with expertise in the relevant mathematical areas. The application deadline is October 18, 2025.