Algebra describes the essence underlying countless structures in mathematics: prime numbers, polynomials, symmetries, vector spaces, geometrical objects, and on the lighter side also games, puzzles and even origami. So it is not surprising that algebra comes up in many real-life applications.
We teach, supervise projects and research in both the abstract nature and the applications of algebra. Our main focus is in Discrete Mathematics, notably Algebraic Coding Theory and Computer Algebra. Algebraic Coding Theory is used to represent data in such a way that it becomes resilient to noise and tampering. To use these solutions, we should know how to program computers so they operate fast on the algebraic structures: this is the aim of Computer Algebra.
![Peter Beelen, Professor MSO in the Algebra group at the Technical University of Denmark](https://algebra.compute.dtu.dk/wp-content/uploads/beelen_medium.jpg)
![](https://algebra.compute.dtu.dk/wp-content/uploads/1672003570296-909x1024.jpg)
![](https://algebra.compute.dtu.dk/wp-content/uploads/Jonathan.jpg)
Past members
![](https://algebra.compute.dtu.dk/wp-content/uploads/lara-1.webp)
![Grigory Solomatov PhD student at Algebra Group DTU](http://algebra.compute.dtu.dk/wp-content/uploads/grigory.jpg)
![Leonardo Landi, PhD at Algebra Group at DTU](http://algebra.compute.dtu.dk/wp-content/uploads/photoLeo.png)
![Associate Professor Johan Rosenkilde of the Algebra group at the Technical University of Denmark](https://algebra.compute.dtu.dk/wp-content/uploads/portrait3.jpg)
![Sven Puchinger, Postdoc](https://algebra.compute.dtu.dk/wp-content/uploads/sven_puchinger.jpg)
![Vincent Neiger, Postdoc starting dec 2016 in the Algebra Group at the Technical University of Denmark](https://algebra.compute.dtu.dk/wp-content/uploads/photo.jpg)
![Prasant Singh, Postdoc at Algebra group at DTU Compute](https://algebra.compute.dtu.dk/wp-content/uploads/IMG_20171231_145024.jpg)
![Mrinmoy Datta, Postdoc in the Algebra group at the Technical University of Denmark](https://algebra.compute.dtu.dk/wp-content/uploads/Datta.jpg)
![Nurdagül Anbar, Postdoc at the Algebra group of the Technical University of Denmark](https://algebra.compute.dtu.dk/wp-content/uploads/anbar.jpg)