Adrián Vidal Delgado

PhD Candidate in Mathematics
Universidad de Talca, Chile
Orthogonal polynomials · Symmetric functions · Integrable systems · Probability & stochastic processes
Adrián on a forest hiking trail
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About me

I am originally from Cuba, where I studied mathematics at the University of Havana. I was fortunate to learn from an excellent group of professors, including Concepción Valdés Castro, who helped lay the foundations for several generations of Cuban mathematicians. At that time, my main passion was applied mathematics, particularly hierarchical optimization and the tools offered by convex analysis. My first research mentor was Professor Gemayqzel Bouza Allende, who also had a great influence on me.

For reasons unrelated to mathematics, I moved to Chile in 2022 and began a master's degree at the University of Talca. I decided to work with Professor Jan Felipe van Diejen because the problems he introduced me to seemed, from the very beginning, the most fascinating and ingenious, and the ones that sparked my curiosity the most. I completed my master's thesis working in a rather abstract mathematical setting, but I was already beginning to understand the connections between the problems I was studying and mathematical physics.

I decided to continue my PhD with Jan Felipe because there was still a whole world of knowledge and techniques I could learn from him, and because I was only just beginning to develop my own questions and ideas about the problems we were working on. I find the world of symmetric functions exceptionally beautiful. These objects often admit explicit descriptions while possessing a remarkable amount of symmetry, and it is not so common to find mathematically useful objects with both properties. I also have the impression that the tools of mathematical analysis have been relatively little explored in this context, which makes me think that there is still a great deal of intuition about these objects waiting to be formalized. In particular, the BC setting seems to have much to offer to physical models, or perhaps to conceal a rich combinatorial structure that has yet to be discovered. These possibilities are among my main motivations for future research.

Beyond mathematics, I have many other interests. I enjoy almost every sport, especially football, as well as hiking, skiing, and playing Dota 2. I am almost always happy to talk about a wide variety of subjects, whether I know much about them or not. In those conversations, I can always count on my intuition and a fair share of humility.

Contact

Adrián Vidal Delgado
PhD Candidate in Mathematics
Universidad de Talca, Chile

Email: adrian.vidal@utalca.cl
GitHub: github.com/adrian279vd
Google Scholar: scholar.google.com/citations?user=HVv9miEAAAAJ
ORCID: 0009-0002-2338-5591