Ethan Gwaltney

Ethan Gwaltney serves as a Lecturer in the Department of Mathematics at Rice University, teaching undergraduate mathematics courses while completing his doctoral studies.

His academic background includes:

• Ph.D. in Mathematics, Rice University (expected 2023), advised by Milivoje Lukić
• M.A. in Mathematics, Rice University (2018)
• B.A. in University Scholars (Math & Philosophy), Baylor University (2017)

Research focuses on direct and inverse spectral theory of self-adjoint Schrödinger and Dirac operators within mathematical physics, alongside summative assessment methodologies in mathematics education. His work bridges functional analysis with pedagogical innovation.

Recent publications demonstrate concentrated expertise in Dirac operator spectral properties, examining limit-periodic potentials, Wigner-von Neumann perturbations, and Stahl-Totik regularity. These contributions advance quantum system spectral analysis while his undergraduate thesis introduced probabilistic techniques to real analysis through the Vitali covering lemma.

No scientific awards or honors were documented in the source materials.

Teaching responsibilities encompass course development and instruction across calculus, linear algebra, and pedagogy training, though specific student advising or research grants were not referenced.