Publications

2026

• A Tensor-Train Multidimensional Inverse Laplace Transform Inverts multidimensional Laplace transforms in tensor-train format, cutting the cost from exponential to polynomial in the number of dimensions.

2025

• Fast and Flexible Quantum-Inspired PDE Solvers with Data Integration Solves linear and nonlinear PDEs in quantized tensor-train format with logarithmic memory and runtime, and adds a data-driven learning scheme.

2022

• Threshold photoproduction of neutral pions off protons in nuclear model with explicit mesons Computes near-threshold cross sections for neutral pion photoproduction in a model where nucleons emit and absorb mesons explicitly rather than interacting through a potential.

Code

• FewSpecialFunctions.jl Julia implementations of Coulomb wave, Clausen, Debye, Fresnel, parabolic cylinder, and Marcum-Q functions, plus Fermi-Dirac integrals and the Voigt profile.
• FewBodyPhysics.jl Variational solver for quantum few-body systems using explicitly correlated Gaussian basis functions.
• TensorTrainNumerics.jl Numerical methods in tensor-train and quantics tensor-train format: linear solvers, eigenvalue problems, time evolution, and TT-cross approximation.