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, data pipelines, and AI-powered services for a business intelligence platform. Design multi-tenant systems on GCP with Terraform, build full-stack internal tools, and ship LLM-powered query services to production.

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 →