Research

Sat, 17 Aug 2024 16:16:13 -0500

Current Research

Current research project advised by Dr. Andrea Bonito:

Algorithmic Development: Engineered C++ code to implement complex minimization algorithms, utilizing the MOSEK C++ FUSION API for high-performance optimization.
Numerical Experiments: Conducted numerical simulations to validate algorithm accuracy and performance, utilizing ParaView for data visualization, Docker for containerization and tmux for efficient CLI-based workflows.
Software Rigor: Applied best practices in memory safety, debugging, and version control to ensure the reliability of mathematical software.
Theory Translation: Translated mathematical frameworks into computationally efficient code, bridging the gap between theoretical research and practical application.

Repeatedly applying the Combinatorial Nullstellensatz for Zero-sum Grids to Martin Gardner’s minimum no-3-in-a-line problem
Published Version: https://doi.org/10.1016/j.ejc.2024.104095;
ArXiv Link:
https://arxiv.org/abs/2401.03119;\

Sat, 17 Aug 2024 16:15:51 -0500

Teaching Assistant for Math 151, Engineering Mathematics I, lead weekly labs and recitation sections.

Teaching Assistant for Math 151, Engineering Mathematics I, lead weekly labs and recitation sections.

Grader for Undergraduate Linear Algebra Course at TAMU.

Teaching Assistant for Math 152, Engineering Mathematics II, lead weekly labs and recitation sections.

Teaching Assistant for Math 151, Engineering Mathematics I, lead weekly labs and recitation sections.