Though my formal training is as a research mathematician, I’ve recently focused on applying my expertise in the tech space—bringing advanced mathematical concepts into real-world projects. I see myself as a bridge between abstract theory and practical application, translating complex ideas into innovative solutions that drive progress, optimize systems, and enhance design.
My work has included contributions to project and system design in areas such as game theory, incentive structures, cryptography, and mechanism design. I've also engaged deeply with emerging questions and challenges in generative AI.
In my academic research, I specialize in Geometric Group Theory, with particular focus on Stable Torsion Length and Hyperbolic Groups.
During graduate school, I designed and taught a course on probability and social justice, exploring themes at the intersection of AI, machine learning, and ethics—an area I continue to find deeply compelling. I’m currently working on a children’s book aimed at introducing advanced mathematical concepts in an accessible and engaging way.
A Brief Introduction to Commitment Schemes in Decentralized Data Storage Orchid Labs [pdf]
Variance Orchid Labs [pdf]
Nanopayments Orchid Labs [pdf]
Storage Auditing Using Merkle Trees and KZG Commitments Orchid Labs [pdf]
Demystifying DePINs and More: Bridging Real-World Infrastructure Hackernoon [article]
Orchid Storage. With Justin Sheek Orchid Labs [pdf]
Stable Torsion Length. With Lvzhou Chen International Mathematics Research Notices [pdf]
Characterization of Completions of Noncatenary Local Domains and Noncatenary Local UFDs. With Caitlyn Booms, Timothy M. Kostolansky, S. Loepp, and Alex Semendinger. Journal of Algebra [arxiv]
Localized Radial Roll Patterns in Higher Space Dimensions. With Jason J. Bramburger, Dylan Altschuler, Tharathep Sangsawang, Margaret Beck, Paul Carter, and Björn Sandstede. SIAM Journal on Applied Dynamical Systems [pdf]