Umberto Zerbinati

I am a member of Numerical Analysis Group at the Mathematical Institute, University of Oxford.

I am also an active team member in the development of the Firedrake finite element software. Lately, I have been having lot of fun working on direct Monte Carlo simulations (DSMC), you can find the code I have been playing with in this repository.

Short CV

2025– now Stipendiary Lecturer @ Oriel College, Oxford
2022– now DPhil student @ University Of Oxford
2020–2022 MSc Applied Mathematics @ KAUST
2016–2020 BSc Mathematics @ University Of Pavia

I’m a member of the European Mathematical Society (EMS) and of the Society of Industrial and Applied Mathematics (SIAM).

Publications

A list of my latest papers, you can read more or look up any paper by category.

A Kinetic Interpretation of Thermomechanical Restrictions of Continua Patrick E. Farrell, Josef Málek, Ondřej Souček, UZ arXiv IJES, 2026.
A nodal ghost method based on variational formulation and regular square grid for elliptic problems on arbitrary domains in two space dimensions
Clarissa Astuto, Daniele Boffi, Giovanni Russo, UZ [CMAME, arXiv], 2025.
Time-harmonic waves in Korteweg and nematic-Korteweg fluids Patrick E Farrell, UZ [PRE, arXiv (with corrections)], 2025.

Proceedings

A list of my latest proceedings, you can read more or look up any proceeding by category.

A comparison of the Coco-Russo scheme and $\protect\mathghost$-FEM for elliptic equations in arbitrary domains
Clarissa Astuto, Armando Coco, UZ ICIAM 2023, arXiv, 2024.
The Lightning Virtual Element Method for Self-adjoint Eigenvalue Problems
Manuel Trezzi, UZ GIMC SIMAI Young 2024, 2025

Preprints

A list of my latest preprints, you can read more or look up any preprint by category.

Achieving Material Robustness via Symmetric Stress Finite Element Discretizations Pablo Brubeck, Charles Parker, UZ arXiv, 2026.

Talks and Visits

I have adopted the ISO 3166-1 alpha-2 convention for country designation.

2026

I’m organizing a workshop on “Advances in Ordered Fluids and Alignment Phenomena Modeling, Analysis, and Numerical Methods”, 14/09 - 19/09 Golferenzo, Oltrepò Pavese, IT more details, conference website.
Smectics and distorted nematics: analytics, numerics, and experiments 18/05 - 22/05 des Houches, FR posters
I’ll be based in Vienna for the ESI Programme: Differential Complexes: Theory, Discretization, and Applications 20/05 - 07/06 Vienna, AT, slides, recoring of the talk.

Teaching

I have been involved in teaching the following courses and minicourses:

As the stipendary lecturer in Applied Mathematics at Oriel College, I get to tutor many classes, including: Dynamics, Differential equations, Fourier series and PDEs. I wrote some notes while tutoring this subjects, variational mechanics notes.
Spectral Theory and Spectral Practice more info.