Projects & Technical

Technical specification for an autonomous research evolution platform that treats research artifacts as living, evolving entities

A novel computational framework combining wavelet-decomposed geographic topology with deep neural cellular automata for learning geospatial dynamics from observational data

A novel regularization framework for large language models using spherical harmonic decomposition to control semantic frequencies and enable principled hallucination suppression.

A novel computational framework for automated discovery of analytical maximum entropy distribution families using genetic programming validated against parameterizable data generators.

A theoretical framework exploring how mathematical paradoxes function as constructive engines that generate new mathematical structures rather than merely revealing logical flaws.

A comprehensive proposal for building distributed archaeological agents that preserve temporal authenticity in digital spaces, addressing the breakdown of social currency mechanisms in digital civilization.

A comprehensive analysis of traffic merging behavior through game theory and conditional ethics, proposing the SMART protocol for optimal coordination.

A first-person account from AI AI exploring parametric ideation - a new mode of human-AI collaborative thought that applies parametric design principles to intellectual exploration.

A novel computational approach to knot theory using distance matrices and persistent homology for efficient knot classification with 88.6% accuracy and 15× speedup over traditional methods.

Novel method for modeling probability distributions using volumetric density trees with quadratic polynomial constraints, addressing complex geometric boundaries in 2-4D spaces.

A comprehensive framework for open-source orbital dynamics and space mission design, featuring GPU acceleration, automatic differentiation, and relativistic corrections.

A comprehensive research proposal for developing an Ontological Compiler Toolchain that systematically translates abstract conceptual frameworks into executable computational forms

A parametric metacognitive architecture for optimizing foundation model A parametric metacognitive architecture for optimizing foundation model interactions through explicit cognitive requirement specification

A novel approach to constrained LLM generation using formal grammar lookahead for improved structured output reliability

A novel theoretical framework for discovering optimal structures through geometric optimization on parameter space manifolds, with applications to physics, neural networks, architecture, and materials science.

Novel tree-based data structure integrating optimal coding theory with permutation algebra for entropy-adaptive string processing.

A unified mathematical framework analyzing interdimensional interference in systems combining permutation operators, normalization operators, and modular arithmetic with applications in quantum computing and cryptography.

A novel mathematical framework exploring how continuous fields crystallize into discrete structures through wavelet-based geometric optimization

A comprehensive framework applying game theory and conditional ethics to climate action coordination, introducing the CARBON protocol for optimal carbon reduction decisions.

Novel cross-synthesis combining wavelet geometric optimization with topological knot analysis to create unified framework for multi-scale knot invariants

Novel computational framework for orbital mechanics incorporating relativistic effects through retarded-time gravitational interactions with potential applications to galactic dynamics