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Santa Clara University · 2 months ago

Postdoctoral Scholar position in Applied Mathematics / Mathematical Physics and Electromagnetic (EM) Theory/Modeling

Santa Clara, CA

Full-time

Onsite

Senior Level

$62K/yr - $86K/yr

Santa Clara University is seeking a Postdoctoral Scholar in the Electrical and Computer Engineering Department, collaborating with the Applied Mathematics Department. The role focuses on high-quality research in applied mathematics and electromagnetic analysis, specifically developing a theoretical framework for the classification of characteristic perturbations in geometries with evolving boundary conditions.

EducationHigher EducationUniversities

Responsibilities

Conduct high-quality research in applied mathematics/mathematical physics and electromagnetic analysis

Develop a theoretical framework for the classification of characteristic perturbations in two-dimensional geometries

Utilize variational techniques, geometry, level sets, and topological derivatives for modeling spectral characteristics under evolving perturbations

Qualification

Differential equationsOperator spectral theoryBoundary-value problemsVariational techniquesComplex analysisElectromagnetic field theoryNumerical electromagneticsScattering matrix theoryAnsys HFSSWolfram MathematicaTeamworkSelf-motivation

Required

PhD in RF/microwave engineering, theoretical physics, applied physics, mathematics, or a closely related field

Promising track record of high-quality research, including journal publications

Good working knowledge in most of the following topics: differential equations, operator spectral theory, linear vector spaces, differential geometry, boundary-value problems, Green's functions, variational techniques, and complex analysis

Ability to work in a fast-paced research environment, independently or in a team, meeting internal or external deadlines, and be self-motivated to learn new skills/tools

Preferred

Applicants from diverse academic backgrounds (e.g. in physics, mathematics, engineering) with relevant skills

Knowledge of differential equations, operator spectral theory, boundary-value problems, functional and complex analysis, perturbation theory, variational techniques, and applied analysis

Knowledge of electromagnetic field theory, numerical electromagnetics, scattering matrix theory, or simulating EM/RF structures in Ansys HFSS (or similar tools)

Experience or familiarity in writing your own codes in Wolfram Mathematica (or similar languages)