Curriculum vitae

Personal information

• Surname, Name: Mueller, Nicholas

• Birth place: Milan (Italy)

• Citizenship: Italy, United States of America

• Address: 7/635 Inkerman Road, 3161 Caulfield North, Australia

Researcher Identification

• ORCID: 0000-0002-7798-0858

• Google Scholar: PXLbDdYAAAAJ

Academic degrees

• Feb, 2022 - Sep, 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

• Computational Mathematics.

• Computational Science and Engineering.

• Parameterized Partial Differential Equations. Finite Elements.

• Reduced Order Modeling.

• Low-Rank Tensor Decompositions.

• Open Source Scientific Software.

• High Performance Scientific Computing.

• Scientific Machine Learning.

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, Neuch$\hat{a}$tel, Switzerland.

  Worked as an intern at an R&D company on the development of a topology optimization solver for the generation of novel compliant mechanisms tailored to aerospace applications. The internship was highly research-oriented, involving an extensive literature review in the areas of topology optimization and solid mechanics, along with both theoretical and practical validation of the numerical results. Here, I also gained valuable experience using advanced software tools for stress analysis of mechanical components with Comsol Multiphysics.

Grants, Honors and Awards

1. PhD. fellowship awarded annually by Monash University, 2022 - 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, as well as steady and transient equations.

Programming Skills

• Programming languages: Julia, Python, Matlab, C/C++, Git.

• Parallel programming: Julia multi-threading, Julia Distributed.

• Favourite IDE: VSCode.

• Other software: Comsol Multiphysics, Paraview, Gmsh.