Machine Learning Papers
Consistent Geometric Deep Learning via Hilbert Bundles and Cellular Sheaves
NeuRIPS 2026 (Spotlight), ICML 2026 GFM Workshop
A novel convolutional learning framework for possibly infinite-dimensional signals supported on a manifold.
Persistence, Exposure, and Credit Routing in Linear Temporal Predictive Coding
NeurReps 2026 (proceedings track)
A sheafy analysis of linear temporal predictive coding.
Augmented Lagrangian Predictive Coding
NeuRIPS 2026
We introduce Augmented Lagrangian Predictive Coding (PC-ALM), a variation of Predictive Coding (PC) that aligns weight updates with BackProp by accumulating per-layer constraint errors into a layer-local Lagrange multiplier.
Math Papers
Cellular Sheaves of Hilbert spaces
PhD thesis, 2025
My PhD thesis. This work introduces cellular sheaves of Hilbert spaces, a powerful infinite-dimensional generalization of weighted cellular sheaves. Applications include graph neural networks, opinion dynamics, and clock synchronization problems.
Categorical Linear Programming
In preparation, 2025
A new framework for linear programming via enriched category theory and the Chu construction.
Clearing Sections of Lattice Liability Networks
Preprint, 2025
A mathematical framework that unifies and extends the classical Eisenberg-Noe model of financial clearing in terms of networks of lattice-valued liabilities.
Lattice-Valued Bottleneck Duality
Preprint, 2025
A qualitative benchmark for the use of large language models in mathematics research. This work reformulates certain classical combinatorial duality theorems in the context of order lattices.
A combinatorial K-theory perspective on the Edge Reconstruction Conjecture in graph theory
Homology, Homotopy and Applications, 2025
A framework for abstract reconstruction problems using the K-theory of categories with covering families, which we then apply to reformulate the edge reconstruction conjecture in graph theory.
Philosophy Papers
Defensive Autonomous Weapon Systems, Humanitarian Intervention, and the Golem of Prague
Preprint, 2024
An interdisciplinary paper that explores the ethics of "defensive" autonomous weapons systems through Yudl Rosenberg's rendition of the myth of the Golem of Prague. This paper is currently homeless, and we are looking for a suitable journal.