Projects

Comparison of random-matrix eigenvalue distributions

Random Matrix Theory and Applications

A numerical study of eigenvalue densities, level-spacing statistics and covariance matrices, emphasizing applications to machine learning, quantitative finance, and the SYK model.

Python · NumPy · SciPy · Matplotlib

Schwinger model chain

Schwinger model near criticality

DMRG and matrix-product-state implementations for the Schwinger model for various boundary conditions, and finite-size scaling near quantum critical points.

Julia · ITensors.jl · MATLAB · HPC

Yang-Lee quantum criticality

Yang-Lee quantum criticality

Study of the simplest non-unitary CFT across various dimensions and several other quantum models that share the same Yang-Lee universality class.

Julia · ITensors.jl · MATLAB · HPC · ED

SYK_4pt

SYK model

Thermal and conformal features of the Majorana and complex Sachdev-Ye-Kitaev model.

Mathematica · HPC

Magnetoresistance

Magnetotransport properties of Nickel nanoparticles on Graphene

A experimental study on how the transport properties of Ni nanoparticles on graphene samples change in comparison to the ones of single layer graphene buffers.

Instrumentation · Data Analysis