[ Field Notes ]
Blog
Notes on geometry, graphs, and differentiable systems
Compiling a Physics Engine into One Kernel: jit, grad and vmap in Practice
A case study of jax-spring-sim: forces derived by autodiff from a single energy function, a rollout compiled into one XLA kernel, and measured numbers for what compilation and reverse-mode differentiation actually cost.
Solving Inverse Problems in Engineering via Hardware-Accelerated Differentiable Simulations
A case study of the Differentiable Digital Twin: minimising the compliance of a loaded structure by backpropagating through a finite-element solver, with measured solve counts against finite differences, CMA-ES and random search. Updated with a matrix-free sparse solver that holds memory flat where the dense matrix alone would need gigabytes.
Interacting Vertex Operators in Euclidean AdS₂
A follow-up to my thesis: connected correlators of interacting vertex operators in EAdS₂, holographic renormalization, and why the boundary theory shows ordinary anomalous scaling rather than logarithmic CFT structure.
On Metrics for Embedded Tree-Like Graphs
Preliminary thoughts on how to compare tree-like structures embedded in 3D space by combining topological and geometric information into a single distance.
The Sine-Gordon Model in Hyperbolic Space and AdS/CFT
An overview of my master's thesis: building a bulk-to-boundary dictionary for vertex operators of the Sine-Gordon model in two-dimensional Euclidean Anti-de Sitter space.