Stephen P. Shipman
Department of Mathematics
Louisiana State University
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electric field magnitude

Welcome to my mathematics website.

My research concerns the mathematics that arises in the study of waves in composite media.
The problems I investigate concern the following topics.

  • Spectral theory of differential and integral operators
  • Electromagnetic resonance; meta-materials
  • Computation of quasi-periodic Green functions for electromagnetics
  • Coupled nonlinear dispersive systems; polariton equations
Link here to publications. Here are some recent articles. The article on the Neumann-Poincaré operator will appear in J. Integral Eqn. and Appl. The one on reducible Fermi surfaces will appear in J. Spectral Theory, and the one on irreducible Fermi surfaces has just been completed.

Research group at LSU
Stephen Shipman
Wei Li (LSU postdoc, Ph.D. U. Mich.)
Lee Fisher (doctoral student)
Daniel Rockwell (math major)
Noah Templet (cs major)
Michael Sheppard (math major)
Postdoctoral associates
Wei Li, Spring 2018-present
Cristi Guevara, Fall 2014-Fall 2017
Aaron Welters, Fall 2011-Spring 2012
Ph.D. students
Zhaoxia "Mary" Wang, Ph.D. 2018
Emily McHenry, Ph.D. 2017
Gayan Abeynanda, Ph.D. 2016
Hairui Tu, Ph.D. 2011
Santiago Fortes, Ph.D. 2010
Natalia Ptitsyna, Ph.D. 2009
My research has been funded by the National Science Foundation and by the LSU Board of Regents. See the "Funding" link in the sidebar.
NSF-supported GUI for EM in layered media
(online graphical user interface coming soon)
Present contributors:
Noah Templet (computer science major)
Michael Sheppard (math major)

Research experiences for undergraduates
By carefully selecting projects, mentoring undergraduates can be rewarding for student and mentor. Read about the projects of my students at the REU link. Some of them are

Toy Model for Density of Bound States
Misconceptions in Vector Calculus
Structure vs. Spectra for Quantum Graphs
Modes and Resonance in Anisotropic Media
Lattice Model for Metamaterials

Math Consultation Clinic
In the MCC, graduate students manage teams of undergraduate students in problems from other disciplines and research entities and companies on and off the LSU campus.

Opportunities for undergraduate students
This link lists opportunities for undergraduate mathematics majors to become involved in research. We encourage our majors to begin early. Students may contact me about this. Take a look at some of the current PROJECTS in mathematics that involve undergraduates.

electric field magnitude

My mathematics studies transpired at the University of Arizona in Tucson. Under the direction of Prof. Nicholas Ercolani an increasing number of years ago, I completed my Ph.D. on the topic "A continuum limit of a finite discrete nonlinear Schrödinger system."

This is my trajectory anti-chronologically:

Professor, Louisiana State University (2014-)
Visitor, Institute for Mathematics and its Applications, Minneapolis, MN (Fall 2016)
Associate Professor, Louisiana State University (2008-2014)
Visiting Researcher, Universidad Carlos III, Madrid (Fall 2010)
Research Scientist, Courant Institute, NYU (2006-'07)
Visiting Professor, Institut Élie Cartan, Nancy, France (summer, 2006)
Assistant Professor, Louisiana State University (2002-'08)
Visiting Assistant Professor, Duke University (2001-'02)
Assistant Research Professor, Duke University (-2001)
Ph.D, University of Arizona, advisor: Nicholas Ercolani

Recognition of my efforts, in case anyone is interested:

2015 LSU Alumni Association Faculty Excellence Award
2015 LSU Tiger Foundation Undergraduate Teaching Award
2014 Dr. Marion "Soc" Socolofsky Award for Teaching Excellence, LSU College of Science
2012 N. A. Khizhnyak Award, by the International Conference on Mathematical Methods in Electromagnetic Theory in Ukraine, "for the Contribution to Electromagnetic Theory" (x=shipman)  Privacy Statement here.  Provide Website Feedback here.  Accessibility Statement here.