Curriculum vitae
Personal information
Surname, Name: Mueller, Nicholas
Birth place: Milan (Italy)
Citizenship: Italy, United States of America
Address: 635 Inkerman Road, 3161 Caulfield North, Australia
Researcher Identification
ORCID: 0000-0002-7798-0858
Google Scholar: PXLbDdYAAAAJ
Academic degrees
Feb, 2022 - Nov, 2025: PhD in Applied Mathematics at Monash University, Melbourne, Australia. Dissertation: Linear Reduced Order Models for Parameterized Partial Differential Equations. Advisors: Prof. S. Badia, R. Ruiz Baier
Sep, 2019 - Jul, 2021: Master of Science – Applied Mathematics at EPFL, Lausanne, Switzerland. Master thesis: A Space-Time Reduced Model for the Unsteady Stokes Flow. Advisor: Prof. S. Deparis
Oct, 2016 - Jul, 2019: Bachelor in Mathematical Engineering at Politecnico di Milano, Milan, Italy.
Research Interests
Parameterized Partial Differential Equations.
Surrogate Models, esp. Reduced Order Modeling.
Forward/Inverse problems.
Uncertainty Quantification.
Unfitted Finite Elements.
Computational Fluid Dynamics.
Data Assimilation.
High Performance Computing.
Scientific Machine Learning.
Open Source Scientific Software.
Experience
After completing my Masters in Applied Mathematics at EPFL in 2021, I was awarded a PhD fellowship at Monash University, in Australia. The main focus of the program is the development of a comprehensive methodology for the solution of parameterized partial differential equations using reduced order models. My research mainly revolves around space-time reduction algorithms for computational fluid-dynamics problems, low-rank approximation theory for general tensors, finite element solvers on unfitted meshes, and high performance computing tools. Here, I have also developed other invaluable skills for a researcher, such as the development and maintenance of open source software, as well as the ability to collaborate in a diverse team of researchers – meanwhile strengthening my communication and interpersonal skills.
Previous positions
September, 2020 – February, 2021: Intern at CSEM, Neuchatel, Switzerland.
Worked as an intern at an R&D company on the development of a topology optimization solver for designing novel compliant mechanisms tailored to aerospace applications. These mechanisms were intended to control the orientation of mirrors mounted on satellites, and their mechanical performance was subjected to rigorous compliance and stress testing. Through this experience, I gained valuable insight into scientific software development, solid mechanics, and precision engineering, as well as into the design of tests that assess mechanical behavior under real-world constraints. I also developed strong experience collaborating within a multidisciplinary team of engineers and scientists.
Grants, Honors and Awards
PhD fellowship awarded annually by Monash University, 2022 - 2025.
Monash International Graduate Scholarship, 2022 - 2025.
PhD thesis formally recommended for awards by independent examiners, 2025.
Publications
See publications here.
Spoken Languages
English - Native
Italian - Native
French - Basic
Research Products with Intellectual Property
Author of GridapROMs.jl, a Julia package for solving parameterized partial differential equations using reduced order models. The library balances algorithmic efficiency with a simple, highly interpretable, and user-friendly API. It supports a wide range of applications, including linear and nonlinear problems, single- and multi-field systems, coupled equations, as well as steady and transient ones.
Author of MeteoModels.jl, a Julia package providing a collection of tools for data assimilation and uncertainty quantification in real-world dynamical systems, with a particular focus on geophysical and weather-related processes. The final version of the package is expected to support the following functionalities
Programming Skills
Programming languages: Julia, C/C++, Python, Matlab, R.
Parallel programming: Julia multi-threading, Julia Distributed.
Favourite IDE: VSCode.
Other software: Comsol Multiphysics, Paraview, Gmsh.