Personal Projects

01

Oil Pipeline Impact Simulator (OPIS)

View project on GitHub

Data on oil pipelines is scarce, an issue exacerbated by current administration efforts to remove datasets from public view. We investigated data archives to create a comprehensive pipeline inspection tool, complete with an interactive map of PHMSA historical spill incidents and boundary statistics. Using OLS regression, we estimate the expected cost of a simulated oil spill based on specific pipeline and environmental factors. Tool is still in development for greater functionality, with a goal of being shipped to legislators and clean energy activists to make steps towards preventing oil spill incidents. Project won 1st place @ Accelerate Climate Solutions BLAST 2026, $1000 prize.

02

Computational Analysis of the Bateman-Horn Conjecture for Primes of the Form n2 + 1

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Using standard sieve methods, we were able to rapidly compute the prime counting function for primes of the form n2 + 1 up to 260≈1018; further computations take more than 1hr to compute. The program has three parameters: a starting value and a common ratio, and a boolean that toggles a detailed view of the computational results. The algorithm itself uses a residue filter mod 4 and a set of small primes to sieve out unwanted numbers. The primality test used is the Miller-Rabin with bases (2,3,5,7,11,13) for 64-bit, giving fast and exact primality tests for long inputs. Only even n's are considered, and the counting is maintained via a cumulative count across calls to avoid recomputation. The code can be modified to analyze various relations stemming from the Bateman-Horn Conjecture: for instance, we analyzed the ratio of the prime counting function for two upper bounds with a common ratio, finding that the ratio approaches the square root of the common ratio, a finding that is supported by the conjecture. Read More

Tools

01

arbor

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Productivity tool that I built for my own purposes, allowing you to visualize your tasks in multiple forms: a hierarchical task network (inspired by my research in game AI), list, Gantt, Kanban, Eisenhower matrix, and more. Includes cloud saving / log in with Google secured by Firebase.

02

Habits

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Simple, stripped-down Github habit tracker built with cloud functionality and unlimited free habits. Inspired by HabitKit.

03

Flipclock

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Minimal flipping clock with timer mode for setting focus sessions.

Other Projects

03

Peer Tutor Website (Website only available on IMSA BYOD network)