CV

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EMPLOYMENT

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

EDUCATION

• 2021–2025 (predicted) | PhD (DPhil), Numerical Analysis, University of Oxford
  • THESIS | Structure preservation in FEMs & 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

RESEARCH INTERESTS

• STRUCTURE-PRESERVING 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

PRIZES, AWARDS & SCHOLARSHIPS

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

PUBLICATIONS & PREPRINTS

Preprints (In review)

Date	Title	Co-authors
29.APR.2025 (arXiv)	Enforcing conservation laws and dissipation inequalities numerically via auxiliary variables	Patrick Farrell
20.JAN.2025 (arXiv)	Topology-preserving discretization for the magneto-frictional equations arising in the Parker conjecture	Mingdong He, Patrick Farrell, Kaibo Hu

Other works

Date	Title	Co-authors
16.JUL.2024 (arXiv)	High-order conservative and accurately dissipative numerical integrators via auxiliary variables	Patrick Farrell

In preparation (Draft available on request)

Title	Co-authors
Uniformly accurate asymptotic-preserving integrators for charged particles
An augmented Lagrangian preconditioner for natural convection at high Reynolds number	Alexei Gazca, Benjamin Castellaz, Patrick Farrell
Enstrophy-stable integrators for the 2D incompressible Navier–Stokes equations	Matin Shams
Conservative–dissipative integrators for reversible–irreversible systems
Globally and locally structure-preserving mixed finite element methods for boundary-value problems

In preparation

Title	Co-authors
Conservative integrators exhibit greater stability than symplectic integrators on the Toda lattice	Sebastian Ohlig

TEACHING

• 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

SUPERVISION

• FEB–AUG.2025 | Matin Shams, MMSC special projection & dissertation
  • PROJECT | Enstrophy-stable integrators for the 2D Navier–Stokes Equations
• SEP–OCT.2024 | Sebastian Ohlig, undergraduate summer internship
  • PROJECT | Stability of conservative vs. symplectic integrators on the Toda lattice

TALKS

Invited talks & minisymposium presentations

• 2025 | (2×)ACOMEN* (Ghent University & University of Liège) / ECCOMAS Thematic Conference on Modern Finite Element Technologies (MFET)* (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)

Other seminar, workshop & conference presentations

• 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)

(*scheduled/provisional)

PROFESSIONAL EXPERIENCE

• JUN.2025* | Joint organisation of minisymposium on structure-preserving FEMs at the Biennial Numerical Analysis Conference with Charlie Parker, University of Strathclyde
• AUG–OCT.2022 | Physics: theory and modelling internship, Tokamak Energy
• JUL–AUG.2019 | Computational fluid dynamics internship, Perm State University

(*scheduled/provisional)

LANGUAGES

Programming

• EXPERIENCED | Python (Firedrake) / MATLAB / LaTeX
• LIMITED | Julia / C / Fortran / HTML

Spoken

• FLUENT | English
• INTERMEDIATE | Dutch
• BEGINNER | Japanese / German

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