Aaron Welters

Aaron Welters is an Associate Professor in the Department of Mathematics and Systems Engineering at Florida Institute of Technology's College of Engineering and Science. His expertise lies at the intersection of mathematical physics and applied mathematics, with particular focus on electromagnetism, photonic crystals, and operator theory.

Education:

• Ph.D. in Mathematics, University of California, Irvine (2011)
• Postdoctoral Researcher, Louisiana State University (2011-2012)
• Applied Mathematics Instructor, MIT (2012-2014)

Research Interests:

Dr. Welters' research encompasses several interconnected areas of mathematical physics and applied mathematics. His work on electromagnetic theory explores the fundamental properties of electromagnetic fields in complex media, including stratified and periodic structures. In the realm of photonic crystals, he investigates the mathematical foundations of light propagation in engineered materials, contributing to the understanding of slow-light phenomena and scattering mechanisms.

His operator theory research delves into the spectral properties of differential-algebraic equations and matrix analysis, with applications ranging from stability theory to network problems. The intersection of linear algebra and complex analysis forms another pillar of his work, particularly in developing theoretical frameworks for understanding polynomial roots and their continuity properties.

Publication Trends:

Recent publications demonstrate a strong emphasis on advancing mathematical frameworks for understanding complex physical systems. The 2025 works focus on fundamental theorems in control theory and operator means, while 2023-2024 contributions address spectral theory and effective operators for discrete systems. Earlier works (2016-2021) concentrate on electromagnetic phenomena, including dissipation in stratified media and properties of photonic structures.

Contact & Affiliations:

Located in the Frederick C. Crawford Building, room 319, Dr. Welters maintains active research profiles on Google Scholar and ResearchGate. His institutional email is awelters@fit.edu and can be reached at (321) 674-7202.