Graduate Research - Supervised by Dr. Kristopher Klein
Compared two novel methods of reconstructing magnetic fields around a configuration of multiple spacecraft with a standard technique
Developed a set of tools to evaluate the accuracy of each method when applied to a time varying and turbulent numerical plasma simulation
NASA HelioSwarm Science Team Member (author 7 of 50)
HelioSwarm is a nine-spacecraft observatory that is designed to study the multiscale nature of plasma turbulence via in situ observations.
I joined the team in 2020. This Heliophysics Medium-Class Explorer mission was selected by NASA in 2022 and is scheduled to launch by 2028.
My graduate research has studied the effectiveness of various mathematical techniques that will be applied to data from this multispacecraft mission.
Graduate Research - Supervised by Dr. Kristopher Klein
Generated a dataset to represent how the wave-telescope technique estimates the wavevector present in synthetic N-spacecraft data for all possible geometrical configurations.
Extracted a functional form that best fit the mean error in this estimation as well as the standard deviation.
Used Bayesian Inferencing to learn the posterior distribution of the coefficients of these equations.
Exemplified how the equations can be leveraged to select the optimal subset of spacecraft in a many-spacecraft configuration, so that the error in the wave-telescope method is minimized.
See NEWTSS on GitHub (Numerically Estimated Wave Telescope Subset Selector)
Graduate Research - Supervised by Dr. Kristopher Klein
Applied the Curlometer technique to reconstruct the magnetic fields associated with space plasma simulations from spacecraft measurements to be taken by the proposed NASA mission HelioSwarm.
Created new mathematical models to maximize the accuracy of magnetic field reconstructions from a known configuration of spacecraft.
Utilized high performance computing resources to perform calculations on large data-sets.
See our Curlometer Extension on GitHub
Graduate Research Fellow - Supervised by Dr. William Lewis
(Listed as author 3 of 3, but was lead investigative researcher)
Worked in the Radiation Electrical & High Energy Density Science Research Foundation.
Programmed fluid simulations of the 2D Rayleigh-Taylor Instability.
Using the weakly non-linear theory as a guide, I learned equations of evolution for the surface perturbation from the RT instability simulations.
I then generalized these equations to be applicable at arbitrary Atwood numbers (i.e. density ratios).
Undergraduate Researcher - Supervised by Dr. Daniel Abrams
Performed undergraduate research at Northwestern University's Mathematical Modeling of Complex Systems (MMCS) Laboratory
Assessed the validity of applying the Kuramoto Model of Synchronization to the early behavior of matter near Saturn, to study how it aggregated into the planet’s rings and moons
Learned to create numerical models in MATLAB, and use Mathematica and Maple to solve analytical systems of equations
Undergraduate Engineer - Supervised by Dr. David Dunand
Designed a CubeSat payload to explore the viability of freeze-casting in the temperatures, pressures, and micro-gravities of space.
Analyzed satellite structure to determine its integrity in reaction to loads, vibrations, and thermal gradients.
Machined and assembled components and mounts for optical and thermal sensors.
Undergraduate Engineering Senior Project
Programmed and documented a dynamic vehicle model in Matlab to simulate brake thermal characteristics utilizing vehicle speed data.
Used Solidworks to design mechanical components and analyzed them using hand calculations, numerical analysis, and Finite Element Analysis.
Manufactured racecar components using mills, lathes, saws, and other tools.
Competed in racing and design competitions held at Michigan International Speedway and Lincoln Airpark.