Short CV

• 2025– now Stipendiary Lecturer @ Oriel College, Oxford
• 2022– now DPhil student @ University Of Oxford
• 2020–2022 MSc Applied Mathematics @ KAUST
• 2016–2020 BSc Mathematics @ University Of Pavia

I’m a member of the European Mathematical Society (EMS) and of the Society of Industrial and Applied Mathematics (SIAM).

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Publications

1. Time-harmonic waves in Korteweg and nematic-Korteweg fluids Patrick E Farrell, UZ PRE, 2025 [arXiv].

2. ngsPETSc: A coupling between NETGEN/NGSolve and PETSc
   Jack Betteridge, Patrick E. Farrell, Matthias Hochsteger, Christopher Lackner, Joachim Schöberl, Stefano Zampini, UZ JOSS, GitHub, 2024.

3. Kinetic Derivation of an Inviscid Compressible Leslie–Ericksen Equation for Rarified Calamitic Gases Patrick E Farrell, Giovanni Russo, UZ SIAM MMS, 2024 [arXiv].

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Proceedings

1. The Lightning Virtual Element Method for Self-adjoint Eigenvalue Problems
   Manuel Trezzi, UZ GIMC SIMAI Young 2024, 2025
2. The High-Order Lightning Virtual Element Method
   Manuel Trezzi, UZ GIMC SIMAI Young 2024, 2025

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Preprints

1. Analysis and numerical analysis of the Helmholtz-Korteweg equation Patrick E. Farrell, Tim van Beeck, UZ arXiv, 2025.

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Talks

I have adopted the ISO 3166-1 alpha-2 convention for country designation.

2025

• TAG Mixtures 07/02 Prague, CZ slides.
• Due Giorni Di Algebra Lineare Numerica 20/01 Pisa, IT slides.

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