Six young mathematicians, awarded at the 2023 Vicent Caselles Awards

by time news

2023-06-30 11:40:06

Created by the BBVA Foundation and the Royal Spanish Mathematical Society (RSME) in 2015, the Vicent Caselles Awards seek recognize and encourage the talent of the best young mathematicians. These awards are granted annually to six Spanish or other researchers who have carried out their research in Spain, under 30 years of age.

The objective is to promote research in mathematics by encouraging young scientists in this discipline, according to both entities.

Each of the six prizes is endowed with 2,000 euros, all of them in the Mathematical Research modality, and are addressed to Spanish mathematicians or of another nationality who have carried out their research in Spain and are under 30 years of age at the end of the year prior to the year of the call.

This year’s winners are three women and three men under 30 years of age who have carried out their research in Spain

The winners of this IX edition of the Vicent Caselles Awards are: Robert Cardona Aguilar, postdoctoral researcher at the Institute of Mathematical Sciences (ICMAT) and the Polytechnic University of Catalonia (UPC); Claudia Garcia LopezPhD assistant professor at the University of Granada; Roberto Gimenez Conejeropostdoctoral researcher at the Alfréd Rényi Institute of Mathematics (Hungary).

They have also been awarded Paula Gordaliza Pastorpostdoctoral researcher at the Basque Center for Applied Mathematics (BCAM), in Bilbao, and associate professor at the Public University of Navarra; Oscar Rivero Salgado, PhD assistant professor at the University of Santiago de Compostela; and Maria Soria CarAssistant Professor at Rutgers University (New Jersey, United States).

His doctoral works have contributed important advances in basic research that can have multiple applications in fields such as artificial intelligence, cryptography, biomedicine and meteorology

Movement and geometric structure of fluids

“Most of my thesis focuses on stationary fluidswhich we can understand as fluids whose currents do not vary with time, and are studied using measurement tools. different fields of mathematics such as geometry, dynamic systems, or even computer theory”, explains Robert Cardona, a graduate in Mathematics from the UPC.

There are fluids for which the movement of their particles cannot be predicted with any algorithm or mathematical demonstration, such as the predictions of marine currents or meteorological

Robert Cardona (Institute of Mathematical Sciences)

His research focuses on the movement and geometric structure of fluids, modeled by the equations by Euler, and other mechanical systems called Hamiltonians.

Some of the most important results obtained in his research demonstrate that theoretically there are fluids whose trajectories may be “undecidable“. This means, in the words of the award-winning young mathematician, “that there are fluids for which the movement of their particles cannot be predicted with no algorithm or mathematical demonstration”. For example, forecasts of ocean currents or weather are often inaccurate in the medium and long term.

Equations from physical problems

Claudia García López’s research is based on the study of partial differential equations that come from physical problems, in particular, of fluid dynamics. “My research focuses on the study of physical properties (velocity, pressure, vorticity, etc.) of fluids using math tools”, explains the scientist.

During my thesis, I solved the conjecture formulated by Von Kármán in the 1980s, where he predicted that these patterns should appear in the so-called Euler equations.

Claudia Garcia (University of Granada)

“During my thesis, I solved the conjecture formulated by Von Kármán in the 80s, where he predicted that these patterns should appear in the so-called Euler equations”, he explains. Among the direct applications of the study of fluid equations is meteorology or biomedicine.

The main area of ​​research of Roberto Giménez Conejero is the singularities theorywhich is included in algebraic geometry, an area of ​​mathematics that has garnered important results in recent decades.

“What I study are called singularities: points where a mathematical object, such as a function, stops being smooth and has spikes. I am interested in the changes after deforming the initial situation”, points out the researcher.

p-adic numbers

For his part, the work of Óscar Rivero Sagado focuses on the so-called p-adic numbersnumeral systems that play a fundamental role in number theory, since they constitute an essential scenario in which to deal with questions about numbers. rational numbers formulated millennia ago.

It has always been believed that research in number theory can be very useful in areas of applied mathematics such as cryptography or telecommunications.

Oscar Rivera (University of Santiago de Compostela)

“Although it has been developed from a totally theoretical point of view, it has always been believed that research in number theory can be very useful in areas of applied mathematics such as cryptography or telecommunications”, Rivero assesses.

A promising line is related to Euler’s systems, mathematical objects that Rivero studies “in order to better understand how to progress in the study of the conjecture,” he points out. The researcher has contributed with advances towards the resolution of this problem that have been published in the best international journals.

Correct AI biases

The objective Paula Gordaliza Pastor is to correct the biases in theartificial intelligence (AI) algorithms that they are playing an increasingly important role in society and come to formulate more accurate predictions than an expert person.

Paula Gordaliza’s research seeks to design and analyze automatic learning methods that detect, control and correct these biases

The research seeks to design and analyze methods of machine learning to detect, control, and correct these biases, something that “would help the population to trust artificial intelligence more,” says Gordaliza.

The mathematician María Soria Carro has focused her studies on the mathematical equations that describe how a physical quantity changes on each side of a surface that separates two different media, for example The speed of light going from air to water.

These equations explain why a stick half submerged in water appears to be bent, and are used to study elastic or composite materials by different fibers, or the behavior of the atmosphere. “My main objective is to describe mathematically these physical phenomena that surround us, providing a theoretical framework to understand and analyze these processes”, asserts the scientist.

José Luis Rubio Award from France

The RSME has also awarded the José Luis Rubio Prize from France to Xavier Fernández-Realpostdoctoral researcher at the École Polytechnique Federale de Lausanne (Switzerland), who will receive a ‘start-up grant’ de 35.000 euros funded by the BBVA Foundation to support their research for the next three years. This is the highest distinction that the institution grants to people under 32 years of age, which in this edition has wanted to recognize the profound contributions of this young man to problems in the theory of equations in elliptic and parabolic partial derivatives (PDS).

RSME 2023 Medals

The entity has also released the list of those awarded the RSME 2023 Medals, a recognition with which the scientific society tries to value the special contributions of mathematicians who have stood out for their professional and academic careers.

The laureates are Francisco Marcellanfor his incessant research work in Approximation Theory, Orthogonal Polynomials and Special Functions; Carmen Romero, a world reference in the field of the Theory of Singularities with applications to Differential Geometry; and Luis Vegawho enjoys great international recognition for the enormous impact of his work in various fields such as Fourier Analysis or Fluid Mechanics.

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