Research Interests and Description

I am a 2024 mathematics PhD student specializing in the fields of probability and statistics. My research interests focus on utilizing probability and statistical techniques to better understand and analyze randomness in scientific systems, using probability distribution methods to observe the associated probabilities. Common sub-fields I frequently explore include PDF and CDF analysis, Markov chains, and The Law of Large Numbers.

My current research involves working with interacting particle systems in an attempt to better develop theories behind particle interactions, specifically coalescent processes (particles combining after collision). I wish to also apply these concepts to the field of particle physics, improving simulation models for systems of randomly interacting particles.

Teaching Experience

I have experience teaching calculus, college algebra, and discrete mathematics.

Education

B.S., University of Arizona, 2020-2022, Mathematics(Probability and Statistics Emphasis)

A.S., Central Arizona College, 2018 - 2020, Mathematics

Research areas