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Unicaucanos present their research projects at Spanish universities

Through the ICETEX 2024 International Experts call, professors from the Department of Mathematics, Carlos Alberto Trujillo Solarte and David Fernando Daza Urbano, participated in the “Tenth Number Theory Conference,” held from July 8 to 12 at the La Corrala Cultural Center, affiliated with the Autonomous University of Madrid (Spain).

On this occasion, Carlos Alberto Trujillo Solarte, director of the Algebra, Number Theory and Applications (ALTENUA) research group of our Alma Mater and current National Mathematics Award recipient, presented the lecture “Bh Sets and Finite Fields.”

The goal of these sessions is to bring together number theorists primarily from Spain and Latin America, while keeping the door open to broader international participation, and to showcase the current state of research, as well as to foster collaboration among different research groups. Great importance is placed on the active involvement of young researchers.

The event also served as an opportunity to celebrate the 65th birthday of Professor Adolfo Quirós, one of the original promoters of the concept of the Number Theory Sessions and an active participant in the organization and development of all their editions.

On the other hand, Cristian Camilo Meneses Gaviria, a student of the Master’s program in Mathematical Sciences, presented the lecture “Resolvable λ–Golomb Rules and Resolvable Cyclic Configurations” at Combinatorial Designs and Codes (CODESCO 24). This presentation is related to Meneses Gaviria’s thesis, titled “Modular Golomb Rules, Configurations and Sonar Sequences,” which he is developing under the supervision of PhD. Carlos Andrés Martos Ojeda and co-supervision of PhD. David Fernando Daza Urbano, both members of the ALTENUA and Discrete Mathematics and Applications (MATDIS) research groups of our Alma Mater.

During the event, the student discussed the new advances with Professor Marco Buratti of the Sapienza University of Rome (Italy), an expert in the field who has published several related works. The results presented at the conference are part of an article currently under consideration for publication in a special issue of Mathematics in Computer Science.

CODESCO 24 took place from July 8 to 12 at the Institute of Mathematics of the University of Seville (IMUS), Spain. The event addressed topics related to combinatorial design theory, coding theory, graph theory, algebraic combinatorics, and finite geometry, with special emphasis on establishing new connections among them and exploring new applications to other fields and the real world, including artificial intelligence, communication networks, cryptography, and machine learning.