A musical chord progression represented as a polyhedra.
with Paula Vasquez
A model to reproduce the rheological behavior of polymer gel mixtures through modeling, numerical simulation and comparison with experimental data.
with Paula Vasquez, David Hill, and Greg Forest
An elastic dumbbell model that leverages the parallel processing power of GPUs to create a micro-macro-scale design.
During the summer of 2017, I participated in a 10-week internship at the Lawrence Berkeley National Laboratory that was sponsored by NSF's Mathematical Sciences Graduate Internship. At the lab, I worked in the Center for Computational Science and Engineering (CCSE) to develop a particle collision model that couples with fluid simulations within the adaptive mesh framework, AMReX. The goal of this work was to explore the potential to adapt the National Energy Technology Lab's Mutliphase Flow with Interphase Exchanges (MFiX) software suite for execution on exascale computing machines.
See the poster here.
with Marco Montes de Oca, et al.
I collaborated with a group of mathematicians to work on optimization of auctioning television advertising slots over the week long workshop, Mathematical Problems in Industry (MPI).
See my chapter on algorithm engineering in the report here [O28].
with Paula Vasquez, Yuan Jin and Greg Forest
A validated constitutive model capable of recapitulating mucus rheology under diverse, physiological stress and deformation conditions.
See the paper at
with Shirley Yap and Andria Barraza
Explored properties of different methods of measuring the evenness of a rhythm.
See the poster here.
A simple model for determining the ideal position to place a defender in ultimate frisbee.
Finalist: HOM SIGMAA Student Paper Contest 2007
Encouraged by Moon Duchin to expand my final paper from her History of Mathematics class to the History of Mathematics Special Interest Group Mathematical Association of America's (HOM SIGMAA) student paper contest
See the paper here.