CV

DOWNLOAD FULL PDF

Below is an online version of my CV. You can access a PDF version using the link above.

EMPLOYMENT

2025–2027 (predicted) | Postdoctoral Research Associate, Numerical Analysis, University of Oxford
- PROJECT | ERC Starting Grant for Geometric Finite Element Methods (GeoFEM)
- ADVISOR | Kaibo Hu

2021–2025 | PhD (DPhil), Numerical Analysis, University of Oxford
- THESIS | Geometric numerical integration via auxiliary variables
- SUPERVISORS | Patrick Farrell, Wayne Arter
2017–2021 | Integrated Masters (MMath), Mathematics, University of Oxford
- GRADE | First (Distinction)
- THESIS | Computation and approximation of near orthogonal matrices for tall random matrices
- SUPERVISOR | Yuji Nakatsukasa

STRUCTURE-PRESERVING / COMPATIBLE NUMERICAL METHODS FOR PDEs & ODEs | Conservative & dissipative integrators / Global & local energy estimates / Asymptotic-preserving integrators / Geometric ML
FINITE ELEMENT THEORY | FEEC / Domain decomposition / PinT
PLASMA MODELLING | MHD / Hybrid fluid-particle models
TURBULENT SYSTEMS | Stabilisation / Preconditioning

2021–2025 (DPhil) | EPSRC studentship / UKAEA studentship
2017–2021 (MMath) | Worcester College Foundation scholarship / Worcester College collection prizes

Date	Title	Co-authors
20.JAN.2025 (arXiv), 30.APR.2026 (SISC)	Helicity-preserving finite element discretization for magnetic relaxation	Mingdong He, Patrick Farrell, Kaibo Hu
29.APR.2025 (arXiv), 31.DEC.2025 (SISC)	Enforcing conservation laws and dissipation inequalities numerically via auxiliary variables	Patrick Farrell

(In review)

Date	Title	Co-authors
19.MAY.2026 (arXiv), In review (SISC)	Arbitrary-order structure-preserving discretizations for geometric curvature flows	Ganghui Zhang, Patrick Farrell
28.NOV.2025 (arXiv), In review (CAMWA)	Conservative and dissipative discretisations of multi-conservative ODEs and GENERIC systems	Patrick Farrell

Date	Title	Co-authors
02.NOV.2025 (access)	Geometric numerical integration via auxiliary variables (PhD (DPhil) thesis)

(Drafts available on request)

Title	Co-authors
Automated Galerkin time stepping in Irksome	Pablo Brubeck, Patrick Farrell, Rob Kirby, Scott MacLachlan
Enstrophy-stable integrators for the incompressible Navier–Stokes equations	Matin Shams, Patrick Farrell
Energy-stable discretisations of viscoelastic flows	Dennis Trautwein, Patrick Farrell
Energy- and entropy-stable discretisations for the quasi-incompressible Maxwell–Stefan equations	Aaron Brunk, Patrick Farrell, Mária Lukácová-Medviďová

2024–2025 | Tutor: Computational Mathematics
2023–2024 | Tutor: Prelims corner / Teaching assistant: Numerical Linear Algebra
2021–2022 | Tutor: Analysis I / Teaching assistant: Random Matrix Theory

FEB–AUG.2026 | Oscar Benton, MMSC dissertation
- PROJECT | Numerical evolution of magnetic field topologies

FEB–AUG.2025 | Matin Shams, MMSC special projection & dissertation
- PROJECT | Enstrophy-stable integrators for the incompressible Navier–Stokes equations
SEP–OCT.2024 | Sebastian Ohlig, Undergraduate summer internship
- PROJECT | Stability of conservative vs. symplectic integrators on the Toda lattice

2027 | Oberwolfach Workshop on Structure-Preserving Methods* (Oberwolfach Research Institute for Mathematics)
2026 | SciCADE* (University of Edinburgh) / ECCOMAS World Congress on Computational Mechanics* (Munich, Germany) / Invited Seminar (Chinese Academy of Sciences)
2025 | (2×)ACOMEN (Ghent University) / ECCOMAS Thematic Conference on Modern Finite Element Technologies (Aachen, Germany) / Self-Consistency Group Seminar (CHaRMNET) / ACM Colloqium (University of Edinburgh & Heriot-Watt University) / Numerical Mathematics & Scientific Computing Seminar (Rice University) / SIAM CSE (Fort Worth, Texas) / Scientific Computing Seminar (Brown University) / METHODS Group Seminar (Brown University)
2024 | External Seminar (Rice University)

2026 | Firedrake User Meeting (University of Oxford) / Programme on Differential Complexes (University of Vienna) / Workshop on Finite Element Tensor Calculus (Tsinghua University)
2025 | Numerical Analysis Group Internal Seminar (University of Oxford) / Biennial Numerical Analysis Conference (University of Strathclyde)
2024 | Computing Division Technical Meeting (UKAEA) / Firedrake User Meeting (University of Oxford) / PDEsoft (University of Cambridge) / European Finite Element Fair (University College London) / Exploiting Algebraic and Geometric Structure in Time-integration Methods Workshop (University of Pisa) / UKAEA PhD Student Engagement Day (UKAEA) / Junior Applied Mathematical Seminar (University of Warwick)
2023 | ICIAM (Waseda University) / Numerical Analysis Group Internal Seminar (University of Oxford) / Junior Applied Mathematics Seminar (University of Oxford) / Met Office Presentation (University of Oxford) / Internal Presentation (Tokamak Energy)
2022 | PRISM Workshop (Missenden Abbey, UK)

(*upcoming)

JUL.2026 | SciCADE, University of Edinburgh
- TOPIC | Topology-preserving finite element methods for magnetohydrodynamics
- CO-ORGANISERS | Patrick Farrell, Kaibo Hu
- SPEAKERS | Tobias Blickhan, Mingdong He, Gunnar Hornig, Shipeng Mao, Adelle Wright, Anthony Yeates, Qian Zhang
JUN.2025 | Biennial Numerical Analysis Conference, University of Strathclyde
- TOPIC | Structure-preserving finite element methods
- CO-ORGANISERS | Charlie Parker
- SPEAKERS | Aaron Brunk, Mingdong He, Kaibo Hu, Rami Masri

APR–JUN.2026 | Attendance of the Programme on Differential Complexes at the Erwin Schrödinger International Institute for Mathematics and Physics (ESI), University of Vienna
2025–2027 (predicted) | Organisation of the weekly finite element methods reading group, University of Oxford
AUG–OCT.2022 | Physics: theory and modelling internship, Tokamak Energy
JUL.2022 | Plasma physics summer school, UKAEA

DOWNLOAD FULL PDF