
Baghumyan, Anzhela
Graduate Assistant, Department of Mathematics
Advisor: Vladislav Panferov
Project Description Summary: Working on mathematical theory of emergent behavior, such as flocking of birds, schooling of fish or sychronization of rhythms in biological systems. She is applying techniques from analysis and differential geometry to study behavior of particle systems appearing in the studies of emergent phenomena.


Demirdjian, Levon
Graduate Assistant, Department of Mathematics
Advisor: Majid Mojirsheibani
Project Description Summary: Classification and probabilistic pattern recognition with missing data; Kernelbased classification; estimation of the smoothing parameters of a kernel when there are missing covariates; classification on convex sets.


Euler, Graig
Graduate Assistant, Department of Mathematics
Advisor: Alexander Alekseenko
Project Description Summary: Development & implementation in Fortran of high order discontinuous Galerkin discretizations of model kinetic equations in velocity space. Study of numerical properties of the BGK and the ESBGK kinetic models in one spatial and one velocity dimension and comparison to the experiment. Deterministic numerical solution of spatially homogeneous Boltzmann equation. Development and implementation of BGK model with velocity dependent collision frequency.


Havens, Sam
Graduate Assistant, Department of Mathematics
Advisor: David Klein
Project Description Summary: Study a problem in cosmology and general relativity. The goal is to determine maximal Fermi charts in a class of inflationary RobertsonWalker cosmologies and investigate the behavior of geometrically defined relative velocities of distant test particles.


Kelkar, Asawari
Graduate Assistant, Department of Mathematics
Advisor: Emmanuel Yomba
Project Description Summary: The goal is to analyze the local behavior of the solutions corresponding to a class of coupled system of nonlinear Schrodinger equations, as well as a complex coupled system of nonlinear NewellSegelWhitehead equations. Such an analysis is performed using the socalled Modulational Instability (MI) approach.


Khoram, Nafiseh
Graduate Assistant, Department of Mathematics
Advisor: Rabia Djellouli
Project Description Summary: The main objective is to calibrate a brain response model using fMRI measurements. This requires the development of an efficient solution methodology for identifying the parameters of the socalled Balloon model. The method is a regularized iterative method equipped with a denoising procedure. Thesis Manuscript....


Mametkuliyev, Muhamed
Graduate Assistant, Department of Chemistry and Biochemistry
Advisor: Jussi Eloranta
Project Description Summary: Study solvation dynamics in liquids. Investigate radical reactions in water (including diffusion studies) and study nonpolar solvation of molecules.


Pinchak, Julia
Graduate Assistant, Department of Mathematics
Advisor: Al Sethuraman
Project Description Summary: The work pertains to the area of secure wireless communication, and lies at the interface of communications (i.e., electrical) engineering and mathematics. The problem concerns communication over a wireless channel in the presence of eavesdroppers. The goal is to prove a conjecture regarding lattices in highdimensional space that will help design ways to communicate in such a way that the eavesdropper only hears noise and nothing of the message..


Rains, Christine
Graduate Assistant, Department of Geological Sciences
Advisor: Dayanthie Weeraratne
Project Description Summary: The formation of liquidmetal diapirs in the early Earth has been proposed as an important metalsilicate differentiation mechanism in Earth's formation. These diapirs, which consist of a liquidmetal “nose” and entrained meltedsilicate conduit, may also have played a key role in the observed core superheat in the Earth and in the creation of the siderophile enrichment observed in the mantle today. We investigate the physical processes of metal diapir formation using threecomponent laboratory fluid experiments representing the Earth's solid protomantle, a silicate magma ocean formed by shockinduced melting due to a latestage impactor, and a liquid iron pond created from the core of the melted impactor. We describe the conditions under which trailing conduits of metal diapirs will form and stay open and delineate conduit geometry and diapir shape under different conditions of density and viscosity in each layer.


Wood Shannon
Graduate Assistant, Department of Chemistry and Biochemistry
Advisor: Sean Murray
Project Description Summary: Study the synthesis and function of polyhydroxybutyrate in the aquatic bacterium Cauobacter crescents. PHB is of interest because it is one of the copolymers used in the production of biodegradable plastics.
