From de19dbba1b424c1746b4aa7732451d0318c96904 Mon Sep 17 00:00:00 2001 From: "Oscar L. Cruz Gonzalez" Date: Fri, 17 May 2024 18:44:31 +0200 Subject: [PATCH] Update about.md and research.md files --- _tabs/about.md | 22 +++++++++++++++++++--- _tabs/research.md | 14 ++++++++++++++ 2 files changed, 33 insertions(+), 3 deletions(-) diff --git a/_tabs/about.md b/_tabs/about.md index 23e2b52..f3f41e3 100644 --- a/_tabs/about.md +++ b/_tabs/about.md @@ -3,8 +3,24 @@ icon: fas fa-info-circle order: 2 --- + + -> Website under construction. -{: .prompt-warning } +I am a **Mathematician** with a five-year research career, beginning with a **PhD in Engineering Sciences** and continuing through **two postdoctoral positions** in France. This journey has contributed to improve my ability to formulate a research problem, integrate existing knowledge and strive to find solutions. - +Parallel to my research endeavors, I have continually found myself expanding the expertise, embracing opportunities to develop new skills that aligned with my growing interest in the field of **AI and technology**. I am interested in driving innovation and solving real-world problems. + +In recent projects, I have directly applied deep learning techniques, e.g. classical end-to-end approaches, **Physics-Informed Neural Networks (PINNs)** and **Neural Operators (PI-DeepONet)**, to solve Navier-Stokes equations with huge datasets of simulations resulting from the field of Fluid Mechanics. The goal was to assist/improve and/or even replace traditional methods of CFD calculations to predict the evolution of thoracic aortic pathologies at an early stage. + +**Topics of interest** +- Scientific Machine Learning +- Deep Learning +- AI for Engineering +- Data science +- MLOps +- LLMs +- Micro-Mechanical models +- Modeling of biological and bio-inspired materials + +*Please, do not hesitate to contact me. I am looking forward to discuss how my experience, skills and enthusiasm might align with your team's needs.* diff --git a/_tabs/research.md b/_tabs/research.md index e47b51d..3d17e3d 100644 --- a/_tabs/research.md +++ b/_tabs/research.md @@ -6,6 +6,20 @@ order: 5 +### In a nutshell +During the last few years, I have gained scientific and research expertise in several fields of **applied mathematics**. In particular, two areas have caught my attention. + +The first is related to the **modeling of composite materials**, which represents one of the motivations +of my PhD thesis and first postdoctoral work. I exploited the potential of **homogenization methods** and studied the macroscopic effective response of real-world heterogeneous structures. These approaches were not only devoted to analytical solutions but also to numerical implementations by means of Matlab scripts, the finite element software Comsol Multiphysics and an home-made python library for homogenization. As a result, the research work led to publications in high impact journals and the presentation of the results at international conferences as well. + +The second one is related to the use of **Deep Learning methods**. Inspired by the era of big data, new advances in AI/ML represent a powerful tool that allows us to strive for better results in several fields, including Engineering Sciences. The primary goal of the research project in my second postdoctoral position was to employ deep learning techniques to predict the evolution of thoracic aortic pathologies at early stages using fluid flow simulations. During this period I have gained no only research experience in this field, but also industry knowledge. + +**Achievements in numbers:** +- 11 articles +- 2 chapters in books +- 6 conference proceedings +- 25 conferences, congresses and seminars + ### Articles 1. **O.L. Cruz-González**, R. Cornaggia, S. Dartois, R. Brenner (**2024**). *Accounting for spatial distribution in mean-field homogenization of particulate composites*. International Journal of Solids and Structures 294, 112747.