Research
My main current work focuses on computational methods that make large scale simulation problems tractable using quantum-inspired approaches.
I work on methods that recast single-particle and effective two-body quantum problems into tensor-network form. This makes it possible to resolve spectra, excitons, and spatial structure in systems whose Hilbert spaces are far beyond direct matrix methods.
A recurring goal is to compute physically meaningful observables in large real-space systems: For example, local spectral functions, real-space Chern markers, momentum-resolved spectra in nonperiodic systems, dynamics, and interaction-driven mean-field responses.
My PhD background is in understanding the appearance of topological states in systems without ordinary translational symmetry, including quasicrystals, fractals, and non-Hermitian models.
I am a co-author of TensorBinding.jl, an open-source Julia library for representing large tight-binding Hamiltonians with tensor-network and quantics techniques. The package supports spectral functions, momentum-resolved observables, real-space topological markers, dynamics, and excitonic calculations in very large nonperiodic or structured single-particle and two-particle systems.
The library accompanies our preprint Tensor Network Solvers for Ultra-large Tight-binding Hamiltonians: Algorithms and Applications.
