Developing and optimizing fitting algorithms to analyze and compare hundreds of gigabytes of coarse-grained molecular dynamics simulation data to continuum fluid mechanics results. In collaboration with Paul J. Atzberger

Developed mathematical and computational approaches to solve problems relevant to the physics of soft materials and related biological applications• Improved and extended a stochastic computational continuum-particle model for lipid bilayer membranes with protein inclusions, reduced artificial energy barriers by a factor of 10 while still allowing the model to reach similar length and time scales, published in Journal of Computational Physics• Collaborated with a group of… Show more Developed mathematical and computational approaches to solve problems relevant to the physics of soft materials and related biological applications• Improved and extended a stochastic computational continuum-particle model for lipid bilayer membranes with protein inclusions, reduced artificial energy barriers by a factor of 10 while still allowing the model to reach similar length and time scales, published in Journal of Computational Physics• Collaborated with a group of international scientist utilizing the continuum-particle model to gain insight into how membrane tension affects protein diffusion on lipid bilayer membranes, work under review for publication• Designed and performed statistical analysis of a coarse-grained molecular dynamic simulations of a lipid-bilayer vesicle in order to quantify different behaviors when a new way of accounting for the effects of the surrounding solvent was applied, published in Physical Review E• Developed and implemented a fitting algorithm to fit coarse-grained models of lipid bilayer vesicles, the method takes vast amount of information and projects it onto a comprehensible space to allow for distracting meaningful quantitative information• Created a 3D diffusion solver with additional sink term that accounts for an absorbing polymer, used in the investigation of geometric effects of the polymer for two diffusing proteins in search for each other on the polymer, published in Journal of Computational Physics• Presented findings at: Tel Aviv University in 2013, SIAM Conference of Computational Science and Engineering in 2013, Mathematical Biology Seminar at University of Utah in 2012, APS March Meeting 2012, KITP Conference: Modeling Soft Matter in 2012, South California Simulations in Science Conference in 2012, 12th Annual UC Systemwide Bioengineering Symposium in 2011. Show less

Head TA for Calculus for Social and Life Sciences in spring 2012, Numerical Analysis 2011-2012, Introduction to Real Analysis 2010-2011, Calculus for Social and Life Science in 2007 and 2009-2010, Partial Differential Equations 2009-2010Math Circle at UCSBAffine Geometry in winter 2011 and Mathematical Induction in Fall 2010

Increased computational efficiency by finding and utilizing a more efficient quasi-random generator for the banks Monte-Carlo simulationsImplemented pricing tools for derivatives with main focus on models incorporating stochastic volatility

Solved the issue of searching and sorting quality paper reports by creating a database, increasing efficiency and allowing for better accessibility of reports and statisticsOversaw optimization of sophisticated sorting equipment resulting in less defected shrimp going through the factory and simultaneously increased the yield

Teaching Assistant for undergraduate engineering students in calculus and complex analysis