Erhard Aichinger

Currently, I am working at the Department of Algebra at the Johannes Kepler University Linz. I have also given several courses at the Upper Austria University of Applied Sciences at Hagenberg.

Teaching

Information on the courses given by the Department of Algebra of the Johannes Kepler University Linz.

Some courses I have taught in the last years, either at the Johannes Kepler University Linz, or at the FH OÖ at Hagenberg:

Algebra (Bachelorstudium Informatik) (Lecture Notes)
Introduction into algebra (Lecture Notes)
Information and Coding Theory (Lecture Notes)
Finite Geometry (Exam problems)
Universal Algebra
Seminar on Cryptography (together with Jürgen Ecker)
Security in Mobile Systems (together with Peter Mayr).
Algebra
Kommutative Algebra und algebraische Geometrie.
Lineare Algebra und Analytische Geometrie.

Research

I have been working on functions on algebraic structures, and on algebras whose elements are such functions. In particular, I have tried to apply the structure theory of near-rings to treat questions about polynomial functions on groups and Omega-groups. For studying near-rings, I use GAP and the GAP-functions that our group has developed in the SONATA project.

Slides of some of my talks

An instance of the subnear-ring membership problem. Near-rings and Near-fields 2009, Vorau, Austria.
The surprising ubiquity of planar near-rings. Combinatorics 2008, Costermano, Italy, July 2008. (Helpful comments by Peter Mayr are gratefully acknowledged.)
Informationstheorie - eine mathematische Theorie der Datenkompression und Datenübertragung. Tag der Mathematik für Mathematiklehrerinnen und -lehrer an der JKU Linz, November 2007.
Some applications of higher commutators to Mal'cev algebras. AAA75, Darmstadt, Germany, November 2007. (Joint research with Nebojsa Mudrinski)
Congruence preserving functions and polynomial functions on expanded groups. Near-rings 2007, Linz, Austria, July 2007.
On the number of polynomially inequivalent Mal'cev algebras with congruence lattice of height two. AAA73, Klagenfurt, Austria, February 2007. (Joint research with Nebojsa Mudrinski)

Publications

List of Publications from the Johannes Kepler university's research database.
Personal Data.

How to reach me

At the university, my phone number is ++43 732 2468 9154, and the department has a fax with the number ++43 732 2468 8499. I also use skype. You can reach me easily by email.

Maintained by Erhard Aichinger