CV

DOWNLOAD FULL PDF

EDUCATION

2021–2025 | PhD (DPhil) in Mathematics (Numerical Analysis), University of Oxford
- THESIS | Structure-preserving FEMs via auxiliary variables: conservative & accurately dissipative integrators / global & local structures for BVPs
- SUPERVISORS | Patrick Farrell, Wayne Arter
2017–2021 | Masters in Mathematics (MMath), University of Oxford
- GRADE | First (Distinction)
- THESIS | Computation and approximation properties of near orthogonal matrices for tall random matrices
- SUPERVISOR | Yuji Nakatsukasa

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

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

Date	Title	Co-authors
16.JUL.2024 (arXiv)	High-order conservative and accurately dissipative numerical integrators 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
Upcoming (Draft on request)	Uniformly accurate asymptotic-preserving integrators for charged particles
Upcoming (Draft on request)	An augmented Lagrangian preconditioner for natural convection at high Reynolds number	Alexei Gazca, Benjamin Castellaz, Patrick Farrell
Upcoming (Draft on request)	Conservative–dissipative integrators for reversible–irreversible systems
Upcoming (Draft on request)	Globally and locally structure-preserving mixed finite element methods for boundary-value problems
Upcoming	Enstrophy-stable integrators for the 2D incompressible Navier–Stokes equations	Matin Shams
Upcoming	Conservative integrators exhibit greater stability than symplectic integrators on the Toda lattice	Sebastian Ohlig

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

2025 | ACOMEN* (Ghent University) / ECCOMAS Thematic Conference on Modern Finite Element Technologies* (Aachen, Germany) / Self-Consistency Group seminar* (CHaRMNET) / 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)

2025 | Biennial Numerical Analysis Conference* (University of Strathclyde) / Numerical Analysis Group internal seminar* (University of Oxford)
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)

JUN.2025* | Joint organisation of minisymposium on structure-preserving FEMs at the Biennial Numerical Analysis Conference, with Charlie Parker, at the 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)

DOWNLOAD FULL PDF