What’s New

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.

Lara has defended her Ph.D. thesis today successfully. The defense went very well and her Ph.D. thesis got an excellent evaluation. Next month, Lara will start a 2-year postdoc position in the mathematics department of the University of Groningen (the Netherlands). Many congratulations to Lara for obtaining her Ph.D. degree as well as finding a job as a postdoctoral researcher!

The algebra group is happy to host Professor Luciane Quoos from the Federal University of Rio de Janeiro as a guest in the period January 3– January 17. Maria and Luciane have worked already together in the past on maximal curves, AG codes and Locally recoverable codes.

During her stay, Luciane will work with Jonathan, Peter and Maria on a class of non-isomorphic maximal curves.

Maria has accepted to become member of the editorial board of the Elsevier journal “Journal of Computational algebra”. The Journal of Computational Algebra publishes novel research about computation in, and with, algebraic or discrete structures, such that both mathematics and algorithms contribute to the new result.

In the period November 28 – December 4, Peter will teach a course on algebraic error-correcting codes in connection to a CIMPA school in Hyderabad (India). This will be a great opportunity to share knowledge about algebraic codes with young scientists from all over the world. The school is followed by a one week conference in connection to the 60th birthday of Prof. Sudhir R. Ghorpade, who is a frequent co-author of Peter and who has visited DTU many times. Congratulations to Sudhir!