Michael Vogelius

Michael Vogelius serves as Board of Governors Professor in the Department of Mathematics at Rutgers University, New Brunswick. He joined the faculty in 1989 after seven years at the University of Maryland, College Park, and has held visiting appointments at Stanford University, École Polytechnique Fédérale de Lausanne, and the University of Copenhagen. His current teaching includes Math 550: Linear Algebra and Applications, and he maintains active research leadership in mathematical analysis.

Education:

• PhD from University of Maryland under advisor Ivo Babuška
• Postdoctoral training at New York University with George Papanicolaou

Research Interests: Professor Vogelius specializes in Partial Differential Equations and Numerical Analysis, with core contributions to blow-up phenomena in nonlinear boundary conditions, scattering effects of small inhomogeneities, metamaterials theory, and non-scattering wave characterization. His work bridges rigorous mathematical analysis with applications in electromagnetic imaging, cloaking technologies, and inverse problems. Recent projects emphasize finiteness of non-scattering wave numbers, crack reconstruction via energy methods, and asymptotic models for thin inhomogeneities in conductive media.

Publication Trends: His 2020-2025 publications demonstrate sustained focus on inverse problems and wave scattering in complex media. Key patterns include developing rigorous frameworks for crack reconstruction in Calderón's problem, establishing finiteness results for non-scattering phenomena, and advancing cloaking techniques for broadband and anisotropic settings. These works consistently employ sophisticated asymptotic analysis and error estimation for thin or small-scale defects, reflecting his expertise in connecting theoretical PDE analysis with practical electromagnetic applications.

Collaborations and Funding: Vogelius maintains extensive collaborations including Robert V. Kohn (10 publications, 1984-2010), Fadil Santosa (9 publications, 1990-2000), and recent partnerships with Henrik Garde and Matti Lassas (2024). His research is supported by the National Science Foundation through the Division of Mathematical Sciences (DMS), as evidenced by his participation in DMS updates and conference organization. The Mathematics Department website references student advisement and postdoc mentorship, though specific trainee names aren't detailed in the provided text.