William Goode

Mathematician and software engineer.

Overview

Education

Ph.D. in Mathematics
University of North Texas, 2023
Focus: Representations of infinite-dimensional Lie algebras

B.S. in Mathematics & Economics
University of North Texas, 2017

Current Work

Backend Engineer
Scaylor AI
August 2025 - Present

Develop cloud infrastructure and data pipelines for an AI-powered business intelligence platform. Design and implement regulation-compliant systems for client database integration and automated data workflows.

Research

My research focuses on representations of infinite-dimensional Lie algebras and superalgebras of vector fields. I develop methods for describing annihilators of modules under conditions that arise in tensor modules of vector field Lie algebras.

Published: C. H. Conley, W. Goode. "An approach to annihilators in the context of vector field Lie algebras." Expositiones Mathematicae (2024). arXiv:2403.01728

More about me → Resume & CV →