Publications
research at the intersection of neuroscience, AI, and learning
The Cognitive Operator: A Mathematical Framework for Modeling Learning as Controlled State Evolution
Joseph Ayinde · Keshav Saxena
Preprint, 2025
Abstract
Operator-theoretic framework modeling learning as controlled state evolution on structured cognitive space. Introduces spectral stability margins, multilayer Laplacian product geometry, Fokker-Planck density flow extensions, and a telemetry-to-control pipeline for adaptive tutoring systems.
Keywords: Operator Theory, Spectral Methods, Control Theory, Fokker-Planck
From Algorithms to Understanding: Investigating Machine Learning's Influence on Human Cognitive Processing
Joseph Ayinde · Keshav Saxena · Arnav Chatrathi
Celebration of Undergraduate Research, UNC Chapel Hill, 2025
Abstract
Poster presentation investigating the relationship between machine learning systems and human cognitive processing. Explores how algorithmic paradigms influence and reshape understanding in biological learning contexts.
Keywords: Machine Learning, Cognitive Science, Human-AI Interaction
AI Ethics in Computational Neurosurgery
Joseph Ayinde
Australian Institute of Health Innovation, Macquarie University, 2023
Abstract
Research on the legal and ethical implications of AI in neurosurgery, conducted under Prof. Antonio Di Ieva and Dr. Eric Suero-Molina at the world's first Computational Neurosurgery lab. Presented at the Australian Institute of Health Innovation.
Keywords: AI Ethics, Neurosurgery, Medical AI, Neuromodulation
Anticipatory Resource-Use Plasticity in Spadefoot Toad Tadpoles
Joseph Ayinde
Pfennig Lab, UNC Biology (NSF-funded), 2024
Abstract
Independent research on a $500K NSF project examining how developmental flexibility in response to environmental cues contributes to evolutionary diversification. Conducted Sanger sequencing, Next Generation Sequencing, gel electrophoresis, and DNA analysis.
Keywords: Evolutionary Biology, Genomics, NGS, Phenotypic Plasticity
Built
things brought from idea to reality
The Learning and Memory Lab
Building Lucy, an AI-native L&D platform for humans and machines — so your company becomes a system that learns and consolidates itself. Backed by angels from Stanford to the US Military. Affiliated with Founders, Inc. and The Residency (Sam Altman).
Butterfly
Desktop app that watches what you learn across your screen, builds a digital twin of your knowledge, and predicts what you are about to forget before you forget it. Built at Carnegie Mellon with the #1 learning science lab in the world.
Tutr
The future of conversational learning. Neuroscience-grounded agentic tutoring delivered through SMS.
HEALLY
Early company that grew into a globally recognized learning platform with $150K+ in funding and world-class industry partnerships — the foundation for what became The Learning and Memory Lab.
my favorite AI tool
this entire site was pair-programmed with Claude