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Blog Posts

2026   Hybrid SciML, in hybrid mode

2026   Learning only what needs to be learned

2026   A nonlocal Stokes theorem on the sphere

2025   Mental health and mentorship

2025   The French research Mafia

2025   Touching the volcano—French meritocracy is burning out

2025   The volcanic rise of SciML and PINNs

2025   Mathematics near the volcano—rigor, intuition, and Bourbaki

2025   Niche and deep vs broad and new

2025   When theory meets practice—and they argue productively

2025   Writing research memos

2025   Teaching SciML

2024   The linear sampling method for small random scatterers

2023   Strongly singular integrals over curved elements

2023   Finite-boundary element coupling in MATLAB

2022   Image matting with examples in Python

2022   The linear sampling method for random sources

2021   Weakly singular integrals over curved elements

2020   Quantum computing 4

2020   Quantum computing 3

2020   Quantum computing 2

2020   Quantum computing 1

2020   Chloroquine & COVID-19

2020   Exponential integrators for stiff PDEs

2020   The U.K. government's controversial plan of action

2019   Deep networks and the Kolmogorov–Arnold theorem

2019   Deep networks and bandlimited functions

2018   Computer-assisted proofs for PDEs

2018   Spherical caps in cell polarization

2018   Solving nonlocal equations on the sphere

2018   Gibbs phenomenon and Cesàro mean

2017   Deep networks and the curse of dimensionality

2017   Solving PDEs on the sphere

2017   When planets dance