Computational mathematics and
algorithmic systems.
High-precision number theory • Dynamics • Algorithms at scale
Featured Work
Highest ImpactDiscrete Descent Hybrid Algorithm
2025Numerical zero verification for the Riemann zeta function up to T = 10¹⁶ using hybrid descent methods and topological interlacing.
Non-Ergodic Random Walks
2026Studying ergodicity breaking in Lévy flights with α=1. Exploring the failure of time-average convergence in heavy-tailed systems.
NeuroOS Kernel
2025Experimental biomimetic kernel exploring memory persistence models inspired by neural reinforcement mechanics.
Other Projects
2025 - 2026ℂ-Space Engine
2025A generalized 2D physics engine simulating a universe where physical constants are Complex Numbers.
Kolakoski Sequence Analysis
2026Investigating structural properties of the Kolakoski sequence density using graph-theoretic approaches on a 34-state manifold.
Kimberling Expulsion Conjecture
2025Analyzing the Kimberling expulsion process using an O(1) state recurrence. Discovered a record-breaking survivor lasting 67 billion steps.
Twin Prime Cluster
2025Distributed computing architecture for validating twin prime candidates at scale. Concurrently validating over 400 candidates across the cluster.