06/04/2023

New researchers explore new lines of research.

Da esquerda para a direita: Jethro Van Ekeren e Bruno de Mendonça Braga

“Nonlinear geometry of Banach spaces” and “Lattices, algebras and moonshine” were the themes of the special seminars by new IMPA researchers, Bruno de Mendonça Braga and Jethro Van Ekeren. The meeting took place on Thursday afternoon (6), in the auditorium, and brought together students and other scientists from the institute.

During the meeting, Bruno Braga discussed the nonlinear theory of Banach spaces. In more detail, he explained how Banach spaces are normed linear spaces. Enthusiastic, the researcher assessed the lecture as yet another opportunity for networking.

" The research I do isn't very well represented at IMPA, so I also hope this will be a great opportunity for students to be exposed to new types of mathematical problems."

Braga, who has been at IMPA for four months, described the environment as "pleasant" and "well-structured." "My experience has been excellent. Everyone I've met has been very friendly and helpful. It's also great how IMPA is always bustling and how people enjoy interacting with each other," he said.

Jethro Van Ekeren, a long-term visiting researcher, has already addressed lattices, integer partitions, Lie algebras, and modular forms. “I joined IMPA as a visiting researcher about a year ago. The institute is wonderful. It’s a very pleasant place to work in the field and has very good students.”

The topics chosen for the seminar are related to Van Ekeren's research area in representation theory, where the connections between objects are used to advance the study of infinite-dimensional algebras that arise in theoretical physics.

"I wanted to direct this lecture towards the students, without going into too much of the technical stuff," he added.

Last Friday, it was João Pereira and Felipe Gonçalves' turn to discuss their respective lines of research.