Cruz Fuller
Short Bio
I am passionate about mathematics and interested in exploring opportunities in STEM fields. I enjoy applying mathematical concepts to solve problems and am excited to continue developing my skills through research, teaching, and collaboration.
Education
Bachelor of Science Troy University 2022-2024
Professional Experience
Undergraduate Researcher — Florida State UniversityREU in Applied Mathematics | May 2025 – July 2025
Conducted research in applied mathematics under the mentorship of Dr. Arash Fahim, focusing on Brownian motion simulation, heat equation modeling, stochastic processes, and numerical methods. Extended the Walk-on-Spheres Monte Carlo method to heat transfer applications, developed analytical cumulative distribution functions using Fourier–Bessel expansions, and implemented inverse transform sampling for Brownian path simulations. Presented research findings at the FSU REU Symposium, developing skills in Python, numerical analysis, and stochastic modeling.
Innovation
Engagement
I have been involved in supporting and connecting students through tutoring, cultural exchange, and campus involvement at Troy University. As a Math Club member, I tutored peers in complex mathematical applications and participated in professional development activities. I also served as a translator and cultural liaison for international students, helping them navigate and integrate into American culture. During a study-abroad program at Ludong University in China, I assisted faculty and students with translation and facilitated communication across cultural and academic settings.
