Current Research Topics:

Integrability: Connections between Pseudo Potentials, Lax
Pairs, and Backlund Transformations

Electromagnetic Theory, especially as it relates to
superluminal phenomena made possible by dispersion and dissipation. Also
energetics of dispersive media.

Structure of Quantum Field Theories

Grant Applications and Research Stipends:

M. Dorff (PI), S. Glasgow (Co-PI), D. Halverson (Co-PI), G.
Lawlor (Co-PI), "REU Site: Brigham Young University Undergraduate Research
Experiences in Mathematics," 2004 DMS-Workforce in the mathematical sciences,
$160,000.

S. Glasgow (PI), "Origins of Thermodynamics," 2004 Brigham
Young University Graduate Mentoring Grant Competition, $4,000.

S. Glasgow (PI), "Macroscopic Energy Allocation, Transport
and Thermodynamics of Dispersive/Dissipative Dielectrics, and Dispersive System
Identification/Reduction," 2004 Brigham Young University Mentoring Environments
Grants Competition, $14,600.

S. Glasgow (PI), "Macroscopic Energy Allocation, Transport
and Thermodynamics of Dispersive/Dissipative Dielectrics, and Dispersive System
Identification/Reduction," 2003 Brigham Young University Mentoring Environments
Grants Competition, $17,000.

S. Glasgow (PI), "Integrability of Inhomogeneously Broadened
Optical Bloch Equations," fall 2002 Sabbatical Leave for University of Arizona's
Initiative in Nonlinear Optics, STIPEND: UofA--$2000, BYU--$1724+%100 salary.

C.Z. Ning (PI), S. Glasgow (CoPI), Tim Hansen (CoPI),
Photonic Crystals, 2001 NASA Ames Education Associates Program, (for graduate
student Tim Hansen) STIPEND: $5,000.

C.Z. Ning (PI), S. Glasgow (CoPI), Enhanced Photon
Confinement, 2000 NASA Ames Education Associates Program, STIPEND: $10,000.

P. Bates (PI), C. Z. Ning (Co-PI), S. Glasgow (Co-PI),
"Nonlinear Science," 1998 IGERT Competition.

P. Bates (PI), S. Glasgow (Co-PI), J. B. Peatross (Co-PI),
"Nonlinear Optics: Integrable N-Level Atoms and Fast Simulation of
Infinite-Level Atoms," 1997 NSF Applied Math Competition.

Main Collaborators with Common Areas of Research:

* *Nicolas Ercolani, University of Arizona Professor of
Mathematics, Integrability

Justin Peatross, Brigham Young University Associate
Professor, Theoretical Optics

Michael Ware, NIST Postdoctoral Fellow, Theoretical Optics