From September 2023 I am reader professor (Profesor Contratado Doctor) in the Applied Mathematics for ICT Dep. at ETSIST (Technical University of Madrid, UPM). On 2020, I obtained a tenured track position (Profesor Ayudante Doctor) on UPM. From 2021 I have been part of the ADAI project (PID2021-124473NB-I00). The post-doctoral and pre-doctoral stages of my career could be very briefly summarised as:

On 2019, I started a INFN fellowship in the Florence Particle Physics and Cosmology Group at INFN-Firenze. I was going to resume my research lines about dispersion relations (based on complex analysis techniques) and HPC simulations for collider phenomenology. Unfortunately, the COVID19 pandemic struck few months after arriving Florence. To make things even more dramatic, one of my closest collaborators got the worst serious form of the new illness and left science right after leaving the hospital. In any case, I managed to resume this line of research with my old UCM collaborators.

On 2017, I started my first post-doc in the T30f group in the TUM (Munich) with a post-doctoral grant from the Ramon Areces Foundation. This first post-doctoral experience implied joining and international lattice collaboration, TUMQCD, and getting first-hands experience on the highly computational field of lattice QCD. I also acquire cutting-edge computational knowledge via the LRZ courses on computational techniques, that were supported by agreements with companies like Intel.

On 2016 I defended my PhD on phenomenological collider physics. This PhD involved the usage of several packages of computational algebra (Mathematica and the FormCalc interface to FORM, also Maple) and several Monte-Carlo packages (MadGraph, Pythia, Delphes, the ROOT framework,...). I focused on both the analytical computations (via Mathematica) and on the computer simulations (Monte Carlo).

Before my PhD, I collaborated with Prof.F.Sols and Dr.I.Zapata under a short-term research contract in a project related with condensed matter (Anderson\\\'s model) using Maple, the applied mathematics computational framework PARI/GP and a tailored C++ program. On top of that, I obtained my Master in Teaching (UNED).

Focusing on my research lines and on the ADAI project in particular, I contributed the pre-print \\\"Computing almost commuting bases of ODOs and Gelfand-Dikey hierarchies\\\" (https://arxiv.org/abs/2405.05421). I have several commits on the software repository \\\"da_wilson\\\" and managed the most computationally challenging Gröbner basis computations (via \\\"da_wilson\\\" package) on ADAI computing system. I have both used and contributed the Mathematica-based software package \\\"vectors\\\". And I have been in charge of the technical part of the acquisition, administration and maintenance of the ADAI computer (1TB of RAM and the NVIDIA RTX A5000 GPU). This machine was acquired with the ADAI funding and a UPM co-funding. The last one allowed for the acquisition of 1TB of RAM memory and 17TB of HDD RAID storage. It is necessary for dealing with the massive algebraic (analytic) computation that the ADAI project involves. I faced several issues related with the novelty of the components. Most of them are related with a faulty 2TB NVMe SSD memory that lacked heat sink due to poor design. To make things worse, the manufacturer tried to mitigate this issue via a faulty energy management on firmware that produced random failures both on booting and during computations. I succeeded at identifying the culprit and claiming the warranty. Furthermore, I also faced issues on the three Ethernet adapters included on the motherboard. In spite of all theses issues, the ADAI computer has been successfully used for the purposes of the two foundings.

I have also maintained some of my collaborations on theoretical physics. In particular, I recently developed the MaMuPaXS tool (https://github.com/mamupaxs/mamupaxs), aimed at numerically integrate total cross sections of $2\\\\to n$ ($n=2,\\\\,3\\\\,4,\\\\,5$) processes within the massless approximation. This tool, based on Fortran and Scipy (Python), was developed for the recent publication (DOI: 10.1007/JHEP03(2024)037 ). I also contributed several papers that are natural continuations of my PhD work on phenomenological collider physics (DOI: 10.1103/PhysRevD.107.044073, 10.1007/JHEP01(2022)129, 10.1007/JHEP11(2019)065 ).

The last five years I was also publishing my work at TUM. I have contributed the TUMQCD Collaboration paper (https://doi.org/10.1103/PhysRevD.107.074503), focusing on the computational part of the project. In particular, I managed the 200TB of data interchange between the Fermilab (USA) and SuperMUC (Germany) super-computing facilities. I faced both technical, administrative and regulatory challenges. And involved the Globus data-transfer service (based on GridFTP and security certificates issued by the involved institutions) and the usage of two different frameworks of tape storage. Furthermore, I contribute several parts of the analysis Python scripts, checks on the transferred lattice configurations and adapting the QuantumFDTD framework to the relativistic Schrödinger Equation. With (at the time) Grad Student Mr. Sebastian Steinbeißer and post-doc Mr. Johannes Heinrich Weber we turned this part of the project into the publication of version 3 of QuantumFDTD computational framework and the publication (https://doi.org/10.1016/j.cpc.2021.108250). Prof. Michael Strickland (Kent State University, USA), the original developer of QuantumFDTD, was coauthor of these contributions.

Concerning the supervision of grad and Master students, I am currently supervising a Master Thesis (TFM) on the Quantum Walk Algorithm and its performance. This is a continuation of another Master Thesis, successfully defended last year. The new student is both extending the previous work and working on implementing the algorithms on actual quantum computers, not just on the simulation tool qiskit-aer. The standard framework Qiskit is being used.

A former bachelor thesis student obtained the \\\"Matrícula de Honor\\\" mention with his work on image classification via machine learning algorithms for medical purposes (blood cells classification). Since the ADAI computer system was co-founded by the UPM, we are required to grant computer time for UPM users and, in particular, we granted computer time for this project, under the \\\"training of future UPM researchers\\\" section. Indeed, some of the failures were triggered when the grad student, as part of the machine learning workload, put simultaneously a high pressure on both the SSD storage and the GPU. Another bachelor thesis students defended his thesis about the mathematics of RSA cryptography. This bachelor thesis required the undergraduate student to implement all the pieces of \\\"textbook RSA\\\" on Python and performing a bibliographic research on the security of RSA algorithm. The student was able to finish its thesis and graduate with high scores.

To sum up, my research career has been mainly focused on computational algebra (Quantum Field Theory, analytic computations, contributions to ADAI project) and numerical computation (lattice QCD, high energy physics Monte-Carlo,...). I have also dealed with the complexities of different supercomputing systems: Barcelona Supercomputer System at TIRANT, Valencia; SuperMUC, Germany; Fermilab supercomputing facilities, USA; CERN grid; local clusters at UCM, T30f Department at TUM, INFN; ADAI computing system at UPM;... I even have experience at administrating the ADAI computing facility.