Currently working on boundary field equalities that generalize the idea of conservation laws, new methods for guiding stress in structures, bounds that provide limitations to cloaking, novel methods for obtaining bounds on the spectrum of operators, novel metamaterials, novel minimization variational principles for acoustic and electromagnetic scattering, characterizing the possible elasticity tensors of 3d printed materials.

Awards and Achievements

  • SIAM Fellow
  • SIAM Ralph Kleinman Award
  • SES Prager Medal
  • ETOPIM Rolf Landauer Medal
  • Levi-Civita Prize