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Mathematics - Graph Theory

On June 26, 2025, I submitted my manuscript on the irreversible k-threshold process to the Arab Journal of Mathematical Sciences. This research focuses on cycle and complete graph bases, analyzing spreading processes with applications in epidemiology modeling and influence saturation, and targeting previously unstudied graph families.

Next, I will carefully review and address the suggestions and feedback provided by the journal’s editors and reviewers to ensure clarity, rigor, and alignment with their publication standards. This may involve clarifying proofs, expanding on theoretical justifications, refining definitions, and strengthening the exposition of key results.

When an official pre-print is available, it will be linked in the Academic Portfolio.

For future research, I plan to build on these results (in my Bachelor's Thesis) by extending the probabilistic examination to the double corona family of graphs, which presents a more complex scenario due to its less restrictive structure and increased number of possible successful colorings.

UNL REU - Traffic Engineering

As part of the 2025 REU at UNL, I contributed to a collaborative project aimed at enhancing a co-simulation environment used for testing detection and tracking systems in freeway work zones. This project integrates roadside camera feeds and deep learning models to monitor trucks and generate real-time trajectory data to support safety alert systems.

I developed a research poster and presented it at the annual Nebraska Summer Research Program Symposium. You can view the poster in the Academic Portfolio tab. The larger project was submitted to the Transportation Research Board (TRB) for both conference presentation and publication consideration.

Tutoring Mathematics

With the start of the new semester, I’ll be returning as a drop-in math tutor at Fort Hays State University. This year, we are reworking the tutoring style to make it more interactive and closely connected to classroom instruction. I’ll be stationed in Rarick Hall, the home of the math department, with availability on different mornings and afternoons each week.

I tutor courses including: College Algebra, Calculus I–III, Linear Algebra, Elementary Statistics, Differential Equations, Introduction to Proof, and many others.

In addition to drop-in hours, I’ll occasionally assist directly in classes at the request of instructors — for example, running review sessions or working through problems on the board with students. This approach lets me stay connected to what’s happening in class each week and offer more targeted support outside of it.

To make tutoring more effective, I built a Google Form check-in system that students use when they drop in. Their responses feed into a Google Sheets dashboard I designed, which helps me track visits, see patterns in student attendance, and prepare study materials that align with course needs. Here’s a preview of the tutoring dashboard I use to keep everything organized:

Google Sites

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