What’s New

This research workshop takes place at IMPA (Rio de Janeiro, Brazil) on July 07 – 12 July 2024 and aims to bring together women and underrepresented minorities in mathematics, both from Brazil and abroad, to carry out joint research on Finite Fields and Coding Theory. Maria participates as a group leader (together with Luciane Quoos and Maria Chara) of the project ” Linear Complementary dual codes“. Together with Maria, two Master students from DTU (Johanne Müller Vistisen and Rikke Schjeldrup Jessen) attend the workshop as well. A great opportunity to meet new brilliant researchers from all over the world!

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.

The workshop WAIFI 2024 takes place in Ottawa, Canada, during June 10-12 2024. This event is a forum of mathematicians, computer scientists, engineers and physicists performing research on finite field arithmetic, interested in communicating the advances in the theory, applications, and implementations of finite fields. Maria participates as invited plenary speaker to the event, giving the talk “Algebraic curves over finite fields: rational points and birational invariants”.

On May 24 Maria gives an invited talk for the seminar series in Number Theory at the Mathematical Institute of Bordeaux (France).

More information about the seminar series can be found at the following link.

In the period May 6-18, the algebra group will be visited by Assistant Prof. Mrinmoy Datta (IIT Hyderabad). Mrinmoy has been a postdoc in the algebra group in the past, so we will be welcoming back an old friend. The goal of the visit is to study properties of a famous maximal curve: the Hermitian curve.

A new preprint on a maximal curve with third largest genus is now available on arXiv here.

The authors are algebra group members Peter Beelen and Maria Montanucci as well as our former Ph.D. student Lara Vicino. This work was started during Lara’s time as a Ph.D. student, but the final touches of this work could only be given recently. We hope that more collaboration with Lara will take place in the future!

A new preprint on a family of non-isomorphic maximal curves is now available on arXiv here.

It was written by algebra group members Peter Beelen, Maria Montanucci and Jonathan Tilling Niemann together with Luciane Quoos from the Federal University of Rio de Janeiro in Brazil. The work was initiated when Luciane visited the algebra group in connection with the Ph.D. defence of Lara Vicino.