Jake Fillman

Jake Fillman is an Assistant Professor at Texas A&M University's College of Arts & Sciences. His research focuses on mathematical physics, spectral theory, and quantum mechanics. He investigates spectral properties of Schrödinger operators, quantum walks, and quasicrystalline systems using advanced techniques from functional analysis and operator theory. His work often addresses questions related to gap labeling, spectral transitions, and the interplay between dynamics and spectral characteristics.

Fillman’s recent studies explore topics like optimal algorithms for spectral quantification, mobility edges in quasiperiodic systems, and the absence of bound states in quantum walks. His contributions bridge pure mathematics and theoretical physics, with applications to condensed matter systems and dynamical systems.

He actively contributes to collaborative research and has published extensively in top-tier journals. His work is supported by grants focusing on mathematical physics and operator theory.