Teaching mathematics for engineers and physicists at Nazarbayev University Preparation Center

Fundamental Research of Light-Matter Interactions

Plasma & Pulsed Power Laboratory (Professor Yakov Krasik)Stability of Imploding Shocks Generated by Underwater Electrical Explosion of Cylindrical Wire Array: numerical investigation (2-D finite volume method on unstructured triangular grid with rezoning) of dynamics of converging shock waves generated by underwater explosion of cylindrical wire array. Extreme-nonlinear optics group (Professor Oren Cohen)Lattice Soleakons: first demonstration (by numerical simulation) of Discrete and Bragg soleakons – robust quasi self-trapped leaky waves in waveguide arrays.Narrow-bandwidth high-order harmonics driven by long-duration hot-spots: simulation and statistical analysis of novel device for narrow-bandwidth extreme-ultraviolet emission driven by high-harmonic generation on quasi-continuous nano-scale hot-spots.

Developement of data-mining algorithms (Principal component analysis and K-means clustering) for pre-processing of visiting history data for Ad-management software applications.

Design and GUI development for data management business applications (JAVA, JAVA Server Pages, JAVA Script)

Numerical Simulation and theoretical analysis of Laser Plasma Ineractions in the context of inertial confinement fusion. Numerical simulations (“Particle in Cell” method) of of nonlinear and kinetic effects on Stimulated Brullouin Scattering in Multiple Species Plasmas.

Numerical Simulation and theoretical analysis of Laser Plasma Ineractions in the context of inertial confinement fusion. Numerical simulations (hydrodynamic method) of nonlinear effects on Stimulated Brullouin Scattering in Multiple Species Plasmas. Moment equations for optical pulses in dispersive and dissipative systems (in collaboration with Light-Wave Research Department, Bell Laboratories, Lucent-Alcatel)