Francis Aznaran

Francis Aznaran is a Society of Science Research Fellow in Applied and Computational Mathematics at the University of Notre Dame. He holds a DPhil (PhD) in Numerical Analysis from the University of Oxford (2018–2022), an MASt in Applied Mathematics from the University of Cambridge (2017–2018), and a BSc in Mathematics from the University of Warwick (2014–2017). His research focuses on finite element methods for elasticity, fluids, and thermodynamics, with emphasis on discretization techniques, Piola transformations, and fluid-structure interaction problems.

Key research interests include:

• Elasticity complexes and stress-strain discretization
• Multicomponent fluid flow simulations
• Finite element software development (e.g., Firedrake)

Awards:

• 1st Prize in Postdoc Lightning Talk Competition (2024)
• EPSRC/MathWorks Scholarship (2018–2022)

He teaches ACMS/MATH 40390 Numerical Analysis at Notre Dame and has organized international conferences such as the 2025 Biennial Numerical Analysis Conference. His work bridges theoretical numerical analysis with practical software implementation.