Robert Kotiuga

Robert KotiugaAssociate Professor
PhD, McGill, 1985

Functorial Electromagnetics

(617) 353-4151
office: PHO 523
office hours: contact for appointment

Honors, Awards, and Editorships

  • Member, Electromagnetics Academy
  • 2007 Dean’s Catalyst Award

Classes Taught

  • EK131/132 Introduction to Engineering
  • EK307 Electric Circuit Theory
  • EK501 Mathematical Methods I: Linear Algebra and Complex Analysis
  • EK514 Computational Methods for Continuum Problems
  • EC333
  • EC402 Control Systems
  • EC410 Introduction to Electronics
  • EC453
  • EC454
  • EC455 Electromagnetic Systems I
  • EC456 Electromagnetic Systems II
  • EC500 Special Topics in Electrical and Computer Engineering
  • EC505 Stochastic Processes
  • EC565 Electromagnetic Energy Transmission
  • EC700 Advanced Special Topics

Research Interests

  • electromagnetics
  • numerical methods for three-dimensional vector field problems
  • Whitney forms and the Finite Element Method
  • micromagnetics
  • nanoscale magnetics
  • geometric inverse problems
  • topological aspects of magnetic scalar potentials
  • Helicity Functionals
  • analysis of high-performance interconnects

Selected Publications

  • Kotiuga, P. R. (editor), A Celebration of the Mathematical Legacy of Raoul Bott, CRM, Proceedings and Lecture Notes, vol. 50, American Mathematical Society, 2010.
  • R. Hiptmair, P. R. Kotiuga, and S. Tordeux, “Self-Adjoint Curl Operators,” Seminar for Applied Mathematics, ETH Zurich, Report 2008-27, submitted to Annali di Matematica Pura ed Applicata.
  • Kotiuga, P. R., “Theoretical Limitations of Discrete Exterior Calculus in the Context of Computational Electromagnetics,” IEEE Transactions on Magnetics, vol. 44, no. 6, pp. 1162-1165, June 2008.
  • Kotiuga, P. R., “Weitzenbock Identities and Variational Formulations in Nanophotonics and  Micromagnetics,” IEEE Transactions on Magnetics, vol. 43, no. 4, pp. 1669-1672, April 2007.
  • Kotiuga, P. R., “Topology-Based Inequalities and Inverse Problems for Near Force-Free Magnetic Fields,” IEEE Transactions on Magnetics, vol. 40, no. 2, pp. 1108-1111, March 2004.
  • Gross, P.W. and Kotiuga, P. R., “Electromagnetic Theory and Computation: A Topological Approach,” MSRI Monograph Series, vol. 48, Cambridge University Press, 2004. (Also available as an e-book).