Link here to publications. Here are two recent articles. The one on Fermi surfaces will appear in J. Spectral Theory, and the one on the Neumann-Poincaré operator will appear in J. Integral Eqn. and Appl.
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)
Dylan Blanchard (computer science major)
Josh Brock (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.
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,
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"