Patrick E. Farrell
People
Teaching
Presentations
Publications
CV (updated 2026-07-22)
Short biography
Current and future group members
Visiting academics
Independent research fellows
Dennis Trautwein
Funded on DFG Walter Benjamin Programme.
Funded on DFG Walter Benjamin Programme.
Postdoctoral research associates
Pablo Brubeck
Funded on EPSRC grant SysGenX: Composable software generation for system-level simulation at Exascale and by UKRI grant UKRI/ST/B000495/1.
Funded on EPSRC grant SysGenX: Composable software generation for system-level simulation at Exascale and by UKRI grant UKRI/ST/B000495/1.
DPhil students
Mingdong He (何明东)
Topic: topological property preservation in fluid mechanics.
Co-supervised with Kaibo Hu.
Topic: topological property preservation in fluid mechanics.
Co-supervised with Kaibo Hu.
Kars Knook
Topic: preconditioners for the Navier-Stokes-Onsager-Stefan-Maxwell system for multicomponent flows.
Topic: preconditioners for the Navier-Stokes-Onsager-Stefan-Maxwell system for multicomponent flows.
India Marsden
Topic: a complete definition of a finite element.
Topic: a complete definition of a finite element.
Umberto Zerbinati
Topic: kinetic modelling of ordered fluids.
Topic: kinetic modelling of ordered fluids.
Lenka Košárková (Charles University Prague)
Topic: modelling and discretisation of multicomponent fluid-structure interaction.
Co-supervised with Jaroslav Hron.
Topic: modelling and discretisation of multicomponent fluid-structure interaction.
Co-supervised with Jaroslav Hron.
Chenghao Dong (董承昊)
Topic: the latent variable proximal point method for variational inequalities.
Topic: the latent variable proximal point method for variational inequalities.
Thomas Higham
Topic: non-axisymmetric magnetic equilibria in tokamaks.
Co-supervised with Ed Threlfall and Christopher Ham of the UK Atomic Energy Authority.
Topic: non-axisymmetric magnetic equilibria in tokamaks.
Co-supervised with Ed Threlfall and Christopher Ham of the UK Atomic Energy Authority.
Visiting PhD students
David Niederkofler
Supervised by Michael Feischl.
Home institution: TU Wien.
Will visit Oct 2026 to Mar 2027.
Supervised by Michael Feischl.
Home institution: TU Wien.
Will visit Oct 2026 to Mar 2027.
Tim van Beeck
Funded by a Forschungsstipendien für Doktorandinnen und Doktoranden.
Supervised by Christoph Lehrenheld.
Home institution: Georg-August-Universität Göttingen.
Will visit Oct 2026 to Dec 2026.
Funded by a Forschungsstipendien für Doktorandinnen und Doktoranden.
Supervised by Christoph Lehrenheld.
Home institution: Georg-August-Universität Göttingen.
Will visit Oct 2026 to Dec 2026.
Qingyu Wu (吴清玉)
Supervised by Jun Hu.
Home institution: Peking University.
Will visit Oct 2026 to Dec 2026.
Supervised by Jun Hu.
Home institution: Peking University.
Will visit Oct 2026 to Dec 2026.
Former group members
DPhil graduates
Florian Wechsung
Thesis: shape optimisation and robust solvers for incompressible flow. DPhil viva: 2019-09-23.
Next step: a postdoc with Georg Stadler at NYU, now a quantitative researcher at Citadel GQS.
Thesis: shape optimisation and robust solvers for incompressible flow. DPhil viva: 2019-09-23.
Next step: a postdoc with Georg Stadler at NYU, now a quantitative researcher at Citadel GQS.
Matteo Croci
Thesis: multilevel Monte Carlo methods for uncertainty quantification in brain simulations. DPhil viva: 2020-01-20.
Co-supervised with Mike Giles and Marie Rognes.
Next step: postdocs with Mike Giles in Oxford and Karen Willcox at UT Austin, then a permanent faculty position at the Basque Centre for Applied Mathematics.
Thesis: multilevel Monte Carlo methods for uncertainty quantification in brain simulations. DPhil viva: 2020-01-20.
Co-supervised with Mike Giles and Marie Rognes.
Next step: postdocs with Mike Giles in Oxford and Karen Willcox at UT Austin, then a permanent faculty position at the Basque Centre for Applied Mathematics.
Hamza Alawiye
Thesis: Wrinkling instabilities: modelling, analysis and computation. DPhil viva: 2020-09-25.
Co-supervised with Alain Goriely.
Next step: a Heilbronn fellowship at the University of Bristol, now a Senior Machine Learning Research Scientist at Deep Render.
Thesis: Wrinkling instabilities: modelling, analysis and computation. DPhil viva: 2020-09-25.
Co-supervised with Alain Goriely.
Next step: a Heilbronn fellowship at the University of Bristol, now a Senior Machine Learning Research Scientist at Deep Render.
Pablo Alexei Gazca Orozco
Thesis: Numerical analysis of implicitly constituted incompressible fluids: mixed formulations. DPhil viva: 2020-10-19.
Co-supervised with Endre Süli.
Next step: a postdoc with Enrique Zuazua in Erlangen-Nuremberg, now with a permanent faculty position at Charles University in Prague.
Thesis: Numerical analysis of implicitly constituted incompressible fluids: mixed formulations. DPhil viva: 2020-10-19.
Co-supervised with Endre Süli.
Next step: a postdoc with Enrique Zuazua in Erlangen-Nuremberg, now with a permanent faculty position at Charles University in Prague.
Jingmin Xia (夏静敏)
Thesis: Computational and analytical aspects of energy minimisation problems in cholesteric, ferronematic and smectic liquid crystals. DPhil viva: 2021-06-01.
Next step: a permanent faculty position at the National University of Defense Technology in Changsha, China.
Thesis: Computational and analytical aspects of energy minimisation problems in cholesteric, ferronematic and smectic liquid crystals. DPhil viva: 2021-06-01.
Next step: a permanent faculty position at the National University of Defense Technology in Changsha, China.
Ioannis Papadopoulos
Thesis: Computing multiple solutions of topology optimization problems. DPhil viva: 2021-09-24.
Co-supervised with Endre Süli.
Next step: a postdoc with Sheehan Olver at Imperial College London, then a Dirichlet fellowship at the Weierstrass Institute for Applied Analysis and Stochastics in Berlin, then a Hooke fellowship in the Mathematical Institute in Oxford.
Thesis: Computing multiple solutions of topology optimization problems. DPhil viva: 2021-09-24.
Co-supervised with Endre Süli.
Next step: a postdoc with Sheehan Olver at Imperial College London, then a Dirichlet fellowship at the Weierstrass Institute for Applied Analysis and Stochastics in Berlin, then a Hooke fellowship in the Mathematical Institute in Oxford.
Nicolas Boullé
Thesis: Data-driven discovery of Green's functions. DPhil viva: 2022-08-30.
Co-supervised with Marie Rognes and Alex Townsend.
Next step: an INI-Simons Postdoctoral Fellowship at the University of Cambridge, then a permanent faculty position at Imperial College London.
Thesis: Data-driven discovery of Green's functions. DPhil viva: 2022-08-30.
Co-supervised with Marie Rognes and Alex Townsend.
Next step: an INI-Simons Postdoctoral Fellowship at the University of Cambridge, then a permanent faculty position at Imperial College London.
Fabian Laakmann
Thesis: Discretisations and preconditioners for magnetohydrodynamics models. DPhil viva: 2022-09-20.
Next step: Machine Learning Mathematics Engineer with ASML.
Thesis: Discretisations and preconditioners for magnetohydrodynamics models. DPhil viva: 2022-09-20.
Next step: Machine Learning Mathematics Engineer with ASML.
Francis Aznaran
Thesis: Discretisation of Hodge Laplacians in the elasticity complex. DPhil viva: 2022-09-28.
Co-supervised with Endre Süli.
Next step: an independent research fellowship at Notre Dame.
Thesis: Discretisation of Hodge Laplacians in the elasticity complex. DPhil viva: 2022-09-28.
Co-supervised with Endre Süli.
Next step: an independent research fellowship at Notre Dame.
Alexander Van-Brunt
Thesis: Finite element methods for the Onsager-Stefan-Maxwell equations. DPhil viva: 2022-10-07.
Co-supervised with Charles Monroe.
Next step: Research engineer at Bosch, Sunnyvale, California, then a postdoc with Charles Monroe in Engineering Science at Oxford.
Thesis: Finite element methods for the Onsager-Stefan-Maxwell equations. DPhil viva: 2022-10-07.
Co-supervised with Charles Monroe.
Next step: Research engineer at Bosch, Sunnyvale, California, then a postdoc with Charles Monroe in Engineering Science at Oxford.
Pablo Brubeck
Thesis: Optimal complexity and robust multigrid methods for high-order FEM. DPhil viva: 2023-02-15.
Next step: a postdoctoral research associate position with me.
Thesis: Optimal complexity and robust multigrid methods for high-order FEM. DPhil viva: 2023-02-15.
Next step: a postdoctoral research associate position with me.
Gonzalo Gonzalez de Diego
Thesis: Viscous contact problems in glaciology. DPhil viva: 2023-09-05.
Co-supervised with Ian Hewitt.
Next step: a postdoctoral position with Georg Stadler at NYU, then a MSCA fellowship at the Universidad Politécnica de Madrid.
Thesis: Viscous contact problems in glaciology. DPhil viva: 2023-09-05.
Co-supervised with Ian Hewitt.
Next step: a postdoctoral position with Georg Stadler at NYU, then a MSCA fellowship at the Universidad Politécnica de Madrid.
Boris Andrews
Thesis: Geometric numerical integration via auxiliary variables. DPhil viva: 2025-08-29.
Co-supervised with Wayne Arter of the UK Atomic Energy Authority.
Next step: a postdoctoral position with Kaibo Hu at Oxford.
Thesis: Geometric numerical integration via auxiliary variables. DPhil viva: 2025-08-29.
Co-supervised with Wayne Arter of the UK Atomic Energy Authority.
Next step: a postdoctoral position with Kaibo Hu at Oxford.
Aaron Baier-Reinio
Thesis: Finite element methods for multicomponent flow problems. DPhil viva: 2026-07-24.
Next step: a postdoctoral position with Emilio Martínez-Pañeda in Engineering Science at Oxford.
Thesis: Finite element methods for multicomponent flow problems. DPhil viva: 2026-07-24.
Next step: a postdoctoral position with Emilio Martínez-Pañeda in Engineering Science at Oxford.
Postdoctoral alumni
Jack Betteridge
Funded on EPSRC grant SysGenX: Composable software generation for system-level simulation at Exascale.
Next step: Research Scientist at Devito Codes.
Funded on EPSRC grant SysGenX: Composable software generation for system-level simulation at Exascale.
Next step: Research Scientist at Devito Codes.
Duygu Sap
Funded on EPSRC grant PRISM: Platform for Research in Simulation Methods.
Next step: Innovation Research Fellow at the University of Warwick.
Funded on EPSRC grant PRISM: Platform for Research in Simulation Methods.
Next step: Innovation Research Fellow at the University of Warwick.
Thomas Roy
Funded on a Mathematical Institute Doctoral Prize award.
Next step: a postdoc with Victor Beck, then a permanent appointment as Staff Scientist at Lawrence Livermore National Laboratory.
Funded on a Mathematical Institute Doctoral Prize award.
Next step: a postdoc with Victor Beck, then a permanent appointment as Staff Scientist at Lawrence Livermore National Laboratory.
Alberto Paganini
Funded on EPSRC grant EP/M011151/1.
Next step: a departmental lectureship in Oxford, then a permanent faculty position at the University of Leicester.
Funded on EPSRC grant EP/M011151/1.
Next step: a departmental lectureship in Oxford, then a permanent faculty position at the University of Leicester.
Teresa Kyrke-Smith
Funded on NERC grant NE/H02333X/1.
Co-advised with Hilmar Gudmundsson at the British Antarctic Survey.
Next step: HM Civil Service.
Funded on NERC grant NE/H02333X/1.
Co-advised with Hilmar Gudmundsson at the British Antarctic Survey.
Next step: HM Civil Service.
Hosted fellowship alumni
Maryam Parvizi
Hosted Apr 2023 to Apr 2024, funded by a Humboldt Fellowship.
Next step: a fellowship at the University of Birmingham, then a permanent position at the Jinan-Birmingham Joint Institute.
Hosted Apr 2023 to Apr 2024, funded by a Humboldt Fellowship.
Next step: a fellowship at the University of Birmingham, then a permanent position at the Jinan-Birmingham Joint Institute.
Diego Hayashi Alonso
Hosted Jan 2024 to Feb 2025 on a postdoctoral scholarship, funded by FAPESP.
Hosted Jan 2024 to Feb 2025 on a postdoctoral scholarship, funded by FAPESP.
Visiting academics
Panos Kevrekidis
Home institution: UMass Amherst.
Visited Aug 2019 to Mar 2020, funded by a Leverhulme Visiting Professorship.
Home institution: UMass Amherst.
Visited Aug 2019 to Mar 2020, funded by a Leverhulme Visiting Professorship.
Àlex Ferrer
Home institution: Universitat Politècnica de Catalunya.
Visited Jul 2022 to Jul 2023, funded by a grant from the Universitat Politècnica de Catalunya and the Catalan government.
Home institution: Universitat Politècnica de Catalunya.
Visited Jul 2022 to Jul 2023, funded by a grant from the Universitat Politècnica de Catalunya and the Catalan government.
Jongho Park
Home institution: King Abdullah University of Science and Technology.
Visited Feb 2026 to Mar 2026.
Home institution: King Abdullah University of Science and Technology.
Visited Feb 2026 to Mar 2026.
Visiting students and interns
Geoffrey Gachemi
Remote 2021 summer project funded by a Mfano Africa virtual mentorship.
Home institution: Technical University of Kenya.
Remote 2021 summer project funded by a Mfano Africa virtual mentorship.
Home institution: Technical University of Kenya.
Isaac Newell
2021 undergraduate summer project funded by an LMS Undergraduate Research Bursary.
Home institution: University of Oxford.
Next step: a DPhil scholarship at the Mathematical Institute with Luc Nguyen and Gui-Qiang Chen.
2021 undergraduate summer project funded by an LMS Undergraduate Research Bursary.
Home institution: University of Oxford.
Next step: a DPhil scholarship at the Mathematical Institute with Luc Nguyen and Gui-Qiang Chen.
Matěj Vais
Visiting MSc student.
Home institution: Charles University.
Visited Sep 2024 to Dec 2024.
Visiting MSc student.
Home institution: Charles University.
Visited Sep 2024 to Dec 2024.
Arselane Hadj-Slimane
Visiting MSc student.
Home institution: ENS Saclay.
Visited Oct 2024 to Feb 2025.
Next step: a PhD with Grégoire Allaire.
Visiting MSc student.
Home institution: ENS Saclay.
Visited Oct 2024 to Feb 2025.
Next step: a PhD with Grégoire Allaire.
Sebastien Randriatsitoaina
Remote visiting MSc student.
Co-supervised with Richard Katz on the MIORPA outreach program.
Home institution: African Institute for Mathematical Sciences.
Remote visiting MSc student.
Co-supervised with Richard Katz on the MIORPA outreach program.
Home institution: African Institute for Mathematical Sciences.
Jakub Cach
Visiting PhD student.
Supervised by Karel Tůma.
Home institution: Charles University.
Visited Sep 2025 to Dec 2025.
Visiting PhD student.
Supervised by Karel Tůma.
Home institution: Charles University.
Visited Sep 2025 to Dec 2025.
Jens Molge
Visiting MSc student.
Co-supervised with Roland Herzog and Georg Müller.
Home institution: University of Heidelberg.
Visited Oct 2025 to Jan 2026.
Visiting MSc student.
Co-supervised with Roland Herzog and Georg Müller.
Home institution: University of Heidelberg.
Visited Oct 2025 to Jan 2026.
Jing-Yuan Wang (王菁原)
Visiting PhD student.
Supervised by Xiao-Chuan Cai.
Home institution: University of Macau.
Visited Apr 2026 to Jul 2026.
Visiting PhD student.
Supervised by Xiao-Chuan Cai.
Home institution: University of Macau.
Visited Apr 2026 to Jul 2026.
Federica Mugnaioni
Visiting PhD student.
Supervised by Michele Benzi.
Home institution: Scuola Normale Superiore.
Visited Jun 2026.
Visiting PhD student.
Supervised by Michele Benzi.
Home institution: Scuola Normale Superiore.
Visited Jun 2026.