Dr. Patrick Farrell

Professor

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Biography

Patrick Farrell is a Professor and Tutorial Fellow at Oriel College, University of Oxford, affiliated with the Mathematical Institute. He has a distinguished academic career and is known for his contributions to the field of numerical analysis. His expertise encompasses the numerical solutions of differential equations, focusing on adaptive discretisations and PDEs. Farrell's research includes adjoints for PDE-constrained optimisation problems and bifurcation analysis of nonlinear PDEs. He has received numerous accolades for his work, including the SIAM Germund Dahlquist Prize in 2025 and the LMS Whitehead Prize in 2021. Farrell was also an invited lecturer at the International Congress of Mathematicians in 2026. He has been awarded the EPSRC Early Career Research Fellowship in 2013, showcasing his early promise in the field of mathematical research. His continued contributions to optimization and numerical software have solidified his reputation in the academic community.

Research Interests

Experience

Tutorial Fellow

2000-01-01 — Present

Oriel College, University of Oxford • Oxford, England

Teaching and research in mathematics, focusing on numerical analysis.

Awards

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SIAM Germund Dahlquist Prize

2025-01-01
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LMS Whitehead Prize

2021-01-01
#

EPSRC Early Career Research Fellowship

2013-01-01

Requirements for University of Oxford

Master Program
Requirements
GPA Requirement
Required:3.7
IELTS
Listening
Required:7
Reading
Required:7
Writing
Required:7
Speaking
Required:7
Overall
Required:7.5
TOEFL
Listening
Required:22
Reading
Required:24
Writing
Required:24
Speaking
Required:25
Total
Required:110
Prerequisites
Bachelor's degree in Politics, International Relations, Economics, History, Law, Philosophy or Sociology
Application Checklist
  • Three academic references
  • Official transcripts
  • CV/Resume
  • Statement of Purpose (1,000 words)
  • Two academic essays (2,000 words each)
Specialization Notes

Department of Politics and International Relations - Higher Level English requirement.