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

Cognition: The Cognitive OS

Cognition: The Cognitive OS

The world's first Social Intelligence Network. A drop-in intelligence layer that transforms any software into a living system that converses, remembers, and reinforces growth. Prototyped and tested a non-invasive EEG-AI brain-computer interface with human-subject usability testing. $150K+ raised; partners include Google DeepMind, NVIDIA, CMU LearnLab.

Next.jsTypeScriptAIEEGBCIPython

HEALLY

An AI-powered learning ecosystem. Personalized education platform leveraging machine learning to adapt content delivery to individual cognitive profiles.

AIEdTechMachine Learning

Tutr

An AI SMS agent for on-demand tutoring. Text-based intelligent tutoring system delivering personalized academic support through conversational AI.

AISMSNLPEdTech

my favorite AI tool

Claude Code

this entire site was pair-programmed with Claude