Today the algebra group is happy to welcome a new PhD student: Marie Frank vom Braucke! She will be supervised by Maria (main supervisor) and Peter (co-supervisor). During her PhD time, Marie will be looking at various invariants of algebraic curves and study their connection with applications in algebraic coding theory.
Marie’s PhD project is a part of and funded by Maria’s Villum YIG project CREATE.
Last week Maria and Peter visited Professor Luciane Quoos from the Department for Mathematics of the Federal University of Rio de Janeiro (UFRJ). Prof. Quoos is an expert in algebraic curves over finite fields and their applications in algebraic coding theory. The goal of the visit was therefore scientific collaboration, but another reason was to participate in the Ph.D. defense of one of Prof. Quoos’s students.
The visit was made possible by Maria’s Villum YIP project CREATE.
Jonathan, who currently is a PhD student in the algebra group with Maria and Peter, just got his single-author paper “Non-isomorphic maximal function fields of genus q-1” accepted for publication in the internationally recognized journal Finite Fields and Their Applications. You can find a preprint version of the paper here. Congratulations Jonathan!
In the period March 3-7 we had a very productive visit from the french/italian researcher Elena Berardini from the university of Bordeaux. Elena recently co-authored a fantastic article on a new application of algebraic curves in the area of sum-rank metric codes. During her stay we worked on pushing her results further. We have no doubt that a nice article will come out of this in the near future. Thanks for visiting us!
Elena’s visit was made possible by Maria’s Villum YIP project CREATE.
As a final spin off of our former Ph.D. student Lara Vicino’s work in the algebra group, a new preprint on a maximal curve with third largest genus is now available on arXiv here. This preprint completes a series of now three articles in which the three families of maximal curves with third largest genus are investigated. Apart from Lara, the authors are algebra group members Peter Beelen and Maria Montanucci.
Anina, who currently is a postdoc in the algebra group, participated in the joint mathematics meeting (JMM), which took place 8-12 January in Seattle. She gave a talk “Codes for random access efficiency in DNA storage“. Her talk was very well received and gave rise to interesting scientific discussions.
Today a new postdoc will start in the algebra group: Anina Gruica. Anina very recently obtained her PhD degree at the university of Eindhoven in April 2024. Nonetheless, she already has five published journal papers and four conference papers (more details can be found here here).
During her two-years postdoc, Anina will work on rank-metric codes, a type of codes studied in connection to data-transmission over networks. Anina’s postdoc is financed by Maria’s Villum YIP project CREATE. Welcome to the group Anina!
The algebra group is happy to host Associate Professor Vincent Neiger from the Université de Sorbonne as a guest in the period June 19 – July 4. Vincent has visited DTU before in 2022 and actually has been a postdoc of the algebra group before that in 2017.
Vincent will work with Peter and Maria on further improvements on the decoding of algebraic geometry codes.
Jonathan and Peter participated in the conference Combinatorics 2024 (June 3-7), which took place in Carovigno, Italy. Both gave well received talks, Peter as invited plenary speaker, Jonathan as contributing speaker. It was wonderful to participate in this great conference.
More information about the talks and the participants can be found here. A link to the slides of Peter’s talk is given here and of Jonathan’s talk here.
On May 30, Peter gave an invited talk at the Arctic University of Norway (Tromsø) in connection with a meeting of the Nordic Number theory Network. The topic of the talk was algebraic curves over finite fields with many rational points.