I Went to Cal Poly Pomona from 2016-2020 and received a Bachelor's Degree in Applied Mathematics. I learned how to think and formulate arguments in and out of the mathematical field. Some of my most influential instructors were Dr. Berit Givens, Dr. John Rock, Dr. Jennifer Switkes, and Dr. Nakashima. It wasn't only the subject material that I learned from them, but how to understand, read, and develop mathematical theories/ideas.
During my Master's Program, I focused heavily on mathematical and statistical modeling. For my thesis, I researched and modeled the population growth of a pair of interactive species, Alaskan Brown Bears and Pacific Salmon, as their environmental climate changes. I have also participated in statistical modeling competitions and used machine learning to predict residential building prices and determine who survived disasters.
Now that I have received my Master's Degree, I am working toward becoming a machine learning engineer. I would like to begin by working as a data analyst where I can learn more about building and managing data pipelines. My time as a Graduate Teaching Associate gave me a passion for teaching, so if I can in the future, I would like to pursue a part-time career in teaching mathematics at a community college.
Climate change has been a popular topic since James Hansen gave his testimony to Congress in 1988, expressing the disasters that would come from global warming. Many researchers are studying climate change in hopes of predicting its effects. If we can anticipate the outcomes of climate change, we can take measures to minimize or eliminate the catastrophes that will follow. In this thesis, we compare two models that determine the long-term outcome of two interactive species, pacific salmon Oncorhynchus and Alaskan brown bears Ursus arctos. The first model predicts the outcome of the species when temperature is constant, and the other when temperature is a function of time. We conclude that the effects of global warming could cause the pacific salmon to either die off or migrate to an area that is more suitable for their environmental needs, resulting in the brown bear population decreasing in size to accommodate for the elimination of a food source.
Research in the stability of logistic equations with delay. Utilized MATLAB to observe solutions and design plots which presented when the delayed-logistic equation becomes unstable. came to the conclusion that the equilibrium of the population is the carry capacity.
Explored the stability of a single oscillator and coupled system oscillators using MATLAB. Discussed the similarities and differences between the two types of oscillators. Noticed that the coupled system experiences almost the same stable cycles as the single oscillator.
Discovered solutions and the closed form for computing the eigenvalues for a specific type of tridiagonal matrix. Results showed that LU factorization and Gauss-Elimination w/o pivot were the best methods because of there efficiency with large tridiagonal matrices.
Utilize steepest decent method to find the minimum distance between two orbits. This was taken a step further by analysing the hessian which revealed the optimal direction to start steepest decent when the initial staring values reside on an inflection point.