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What’s New

Paper accepted in Communications in Algebra

Maria Montanucci No Comments

Maria, Giovanni Zini and Francesca Dalla Volta published their joint paper “On the classification problem for the genera of quotients of the Hermitian curve” in Communications in Algebra. There some open problems regarding the complete classification of genera of quotients of the Hermitian curve are listed and solved. A preprint is available here.

Maria Montanucci, Assistant Professor at the Algebra group of the Technical University of Denmark

Maria Montanucci joins the algebra group

Peter Beelen No Comments

On the 1st of April 2019, Maria Montanucci joined the algebra group in the section for mathematics at DTU Compute as assistant professor. We all wish her welcome!

Maria studied mathematics at the Universitá degli Studi di Perugia in Italy, obtaining her bachelor’s degree cum laude in 2013 and her master’s degree cum laude in 2015. From 2015-2018, she did her PhD under the supervision of Prof. G. Korchmáros at the Università della Basilicata, Italy. After this she was a postdoc at the University of Padua from November 2018 – February 2019, where she worked with Prof. Corrado Zanella.

Celebrating the mathematics of Ruud Pellikaan

Peter Beelen No Comments

Today, Peter gave the inaugural lecture for a conference celebrating the influence of Ruud Pellikaan in mathematics on the occasion of his retirement. Ruud Pellikaan was Peter’s PhD supervisor and it was a great pleasure for him to give an overview of Pellikaan’s contributions to mathematics. We wish Ruud a happy retirement!

Visit by professor Trygve Johnsen.

Peter Beelen No Comments

Prof. Trygve Johnsen from The Arctic University of Norway will visit the algebra group in the section for mathematics at DTU Compute in the coming three months. He is currently on a sabbatical and fortunately for us, he chose DTU as one of the universities he would like to visit. During his stay, he will primarily work with Peter Beelen and Prasant Singh on Grassmann and Schubert codes.

Research visit by Sven Puchinger

Johan S. R. Nielsen No Comments

The Algebra group was visited late January 2019 by Sven Puchinger who is a postdoc at TU München. Sven has visited us before, and is also a former colleague of Johan at Ulm University in 2013-2014. Sven has numerous research papers jointly written with Johan and Peter.

During the visit, we mostly discussed Twisted Reed-Solomon codes: these are optimal codes (MDS) which are constructed by slightly “twisting” a Reed-Solomon code by carefully adding a monomial to the evaluation polynomials. We proposed the codes in an ISIT paper in 2017, and in 2018 we derived more properties and proposed them for quantum-computer-resilient cryptography. After Sven’s visit, we now have new observations which we will write down in an upcoming paper.

Sven also gave a very nice talk entitled “On Decoding and Applications of Interleaved Gabidulin Codes”.

Leonardo Landi, PhD at Algebra Group at DTU

New PhD Student: Leonardo Landi

Johan S. R. Nielsen No Comments

Our new PhD student Leonardo Landi started 1st January 2019! Leonardo holds a Master’s degree from the University of Parma, Italy. His PhD project has the tentative title “Curves and Error-Correction”: the aim is to get a better insight in the structure of algebraic geometry codes constructed using towers of function fields.

Research visit to Perugia

Peter Beelen No Comments

From October 27 til November 1, Peter Beelen visited Prof. Massimo Giulietti and his team at the Università degli Studi di Perugia in Italy. During the visit he finished an article with Maria Montanucci, who visited DTU as a guest PhD in 2017. Directly after the visit, Maria started as a postdoctoral researcher at the University of Padua.

In the joint article certain subfields are described of the new maximal function fields found by Maria and Peter in 2017. Such subfields are of interest, since by a result of Serre, they are maximal as well. The article has been submitted to the journal Finite Fields and Their Applications. A preprint is available here.

Grigory Solomatov PhD student at Algebra Group DTU

FNU-funded PhD starts

Peter Beelen No Comments

On October 15, PhD student Grigory Solomatov joined our team! Grigory did a dual master at NTNU and DTU. In the coming three years, he will work on the decoding of AG-codes. His project is an important part of the FNU-project “Correcting on a Curve”.

Research project in the media

Johan S. R. Nielsen No Comments

Our research project “Correcting on a Curve”, funded by DFF-FNU, has received attention in the media, more specifically the web-based business newspaper Finans.dk:

Danske forskere vil udvikle verdens hurtigste fejlrettende koder

(The full article is unfortunately behind a paywall)

Our project is also featured by DFF’s web page for funded projects:

https://dff.dk/cases/forskere-skal-udvikle-verdens-hurtigste-fejlrettende-koder-til-digital-kommunikation

Paper on record-breaking decoding accepted

Johan S. R. Nielsen No Comments

The paper “Improved Power Decoding of Interleaved One-Point Hermitian Codes” was accepted for publication in the journal Designs, Codes and Cryptography, and should appear soon!