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.
Institut für Algebra
Adresse
Johannes Kepler Universität Linz
Altenberger Straße 69
4040 Linz
Standort
Science Park 2, 3. Stock, Raum 372
Öffnungszeiten Sekretariat
Mo-Mi: 09.00 - 11.00 Uhr
Do: 13.00 - 15.00
Telefon
We are pleased to announce that our colleague Lixin Du has successfully defended her Ph.D. studies today. Her thesis was written under the joint supervision of Shaoshi Chen from the Chinese Academy of Sciences and Manuel Kauers, and during the time she spent in Austria, she was supported by an FWF project on integral D-finite functions. In her thesis, she explores the notion of integrality and its applications to reduction-based algorithms for symbolic integration. Some of her results have already been published at ISSAC, the annual flagship conference in the area of computer algebra. We congratulate Lixin on her achievements and are happy that she will stay at the Institute for Algebra for some more time as a postdoc.
Manuel Kauers and Jakob Moosbauer showed that 5x5 matrices mod 2 can be multiplied with only 95 multiplications.
The Austrian Science Fund FWF and the French Funding Agency ANR have accepted a proposal for a joint project on Efficient Algorithms for Guessing, Inequalities, and Summation.
Prof. Anatolii Zhuchok from the Luhansk Taras Shevchenko National University has just arrived for an extended research stay at the Institute for Algebra. His stay is financed by a JESH grant of the Austrian Academy of Science. In his project entitled "Congruences on free Loday-type algebras", Prof. Zhuchok will be able to continue his research of a series of the least congruences on some free Loday-type algebras. We are grateful to Prof. em. Guenter Pilz for his dedicated support in setting up this project.
Johannes Kepler Universität Linz
Altenberger Straße 69
4040 Linz, Österreich
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