Additional Affiliations

• Professor of Mathematics
• Director of the Arizona Center for Mathematical Sciences

Specific Research Interests

• Mathematical modeling and simulation of photonics systems including semiconductor lasers, fiber lasers, photonic Bragg and photonic crystal fibers.
• Fndamental theory of semiconductor lasers including microscopic physics.
• Modeling high-power femtosecond atmospheric light strings.
• Nonlinear theory of partial differential equations and chaos synchronization in extended complex spatiotemporal interacting systems systems.
• Sophisticated algorithm development for large scale computational photonics systems simulations including adaptive mesh refinement and parallelization on distributed and shared memory supercomputer platforms.