Algebra ist einer der klassischen Teilbereiche der Mathematik. Wir vertreten diesen Bereich in Forschung und Lehre und stellen damit die theoretischen Grundlagen zur Verfügung, die Anwendungen in vielen anderen Bereichen der Wissenschaft finden.
Unser Institut deckt mehrere Themen aus der Algebra ab. Ein Schwerpunkt unserer Arbeit ist die Computeralgebra, das heisst die Entwicklung von Algorithmen zur automatischen Lösung algebraischer Probleme. Ein weiterer Arbeitsschwerpunkt ist die Universelle Algebra, wo man sich mit abstrakten Verallgemeinerungen der klassischen algebraischen Strukturen beschäftigt. Ein dritter Schwerpunkt ist schließlich die Theorie der Fastringe, die in den vergangenen Jahrzehnten maßgeblich in Linz entwickelt wurde.
The next Linz Algebra Research Day will be held on June 15th.
In its board meeting on 10th May 2021, the Austrian Science Fund FWF has approved Thibaut Verron's grant application "Weighted-homogeneous structure in polynomial equations".
The project concerns the development of algorithms for solving systems of structured polynomial equations. Questions in this context include the design and implementation of algorithms taking into account the structure, as well as the study of their complexity. The proposed work has immediate applications for solving such structured systems, for example in physics.
Furthermore, a better understanding of the weighted-homogeneous structures could lead to algorithmic and complexity improvements regarding polynomial elimination, which is a crucial step in many algorithms manipulating systems of polynomial equations.
We are pleased to announce that another member of our institute has succeeded in getting a permanent position and will thus be able to stay in academia.
Hao Du came to Linz in 2019 as a postdoc of Christoph Koutschan at RICAM and joined the Institute for Algebra in January 2021, where she is currently employed on an FWF-financed project directed by Georg Regensburger. She received her PhD from the Chinese Academy of Sciences, whose strong symbolic computation group is closely collaborating with the various symbolic computation groups in Linz. In Summer 2021, she will return to Beijing and start as assistant professor at the Beijing University of Posts and Telecommunications.
We wish her all the best for her future career.
Our institute member Erhard Aichinger was awarded a second prize in the TNF for his teaching efforts in winter semester 2020/21. From the beginning of the Corona situation, we have strived in many ways to enable our students to progress well in their studies. This includes recorded lectures and on-line courses via ZOOM.
The institute thanks the AG for the recognition of our efforts and congratulates Erhard Aichinger for the award.