Research

Note: This page represents my research interests and publications as of May 2021 when I departed my position as a Hill Assistant Professor at Rutgers University, New Brunswick.

Interests

Inverse problems, analysis of PDEs, non-selfadjoint eigenvalue problems, asymptotic analysis

 

Papers

• In preparation or under review
  • S. Cogar, Asymptotic expansions of Stekloff eigenvalues for perturbations of inhomogeneous media, submitted. (arXiv)
• Published in peer-reviewed journals
  • F. Cakoni, S. Cogar, and P. Monk, A spectral approach to nondestructive testing via electromagnetic waves, IEEE Transactions on Antennas & Propagation, accepted.
  • S. Cogar, Existence and stability of electromagnetic Stekloff eigenvalues with a trace class modification, Inverse Problems and Imaging 15 (2021) 723-744. (Inverse Problems and Imaging) (arXiv)
  • S. Cogar and P. Monk, Modified electromagnetic transmission eigenvalues in inverse scattering theory, SIAM Journal on Mathematical Analysis 52 (2020) 6412-6441. (SIAM Journal on Mathematical Analysis) (arXiv)
  • S. Cogar, Analysis of a trace class Stekloff eigenvalue problem arising in inverse scattering, SIAM Journal on Applied Mathematics 80 (2020) 881-905. (SIAM Journal on Applied Mathematics)
  • S. Cogar, A modified transmission eigenvalue problem for scattering by a partially coated crack, Inverse Problems 34 (2018) 115003. (Inverse Problems)
  • S. Cogar, D. Colton, and P. Monk, Using eigenvalues to detect anomalies in the exterior of a cavity, Inverse Problems 34 (2018) 085006. (Inverse Problems)
  • S. Cogar, D. Colton, S. Meng, and P. Monk, Modified transmission eigenvalues in inverse scattering theory, Inverse Problems 33 (2017) 125002. (Inverse Problems)
  • S. Cogar, D. Colton, and Y.J. Leung, The inverse spectral problem for transmission eigenvalues, Inverse Problems 33 (2017) 055015. (Inverse Problems)
  • S. Sarra and S. Cogar, An examination of evaluation algorithms for the RBF method, Engineering Analysis with Boundary Elements 75 (2017) 36-45. (Engineering Analysis with Boundary Elements)
• Book chapters
  • S. Cogar, D. Colton, and P. Monk, Eigenvalue problems in inverse electromagnetic scattering theory, chapter 5, Maxwell’s Equations: Analysis and Numerics, de Gruyter (July 2019). (arXiv)
• Thesis
  • S. Cogar, New Eigenvalue Problems in Inverse Scattering (Doctoral Dissertation), University of Delaware (2019). (ProQuest)
• Conference proceedings
  • S. Cogar and P. Monk, A new modified transmission eigenvalue problem for electromagnetic scattering, accepted, IEEE RAPID Conference, Miramar Beach, FL, August 2020 (conference held virtually due to COVID-19).